NEET Full-Length Mock Test 6

NEET Mock Test - 2026

Test 6

Number Of Questions: 180

Time: 3 hours

Correct answer Carries: 4.

Wrong Answer Carries: -1.

3:00:00

Physics

A circuit has a \( 10 \, \text{V} \) battery with \( 1 \, \Omega \) internal resistance and two resistors \( 5 \, \Omega \) and \( 10 \, \Omega \) in parallel. What is the total current?

Parallel resistance: \( \frac{1}{R_p} = \frac{1}{5} + \frac{1}{10} = \frac{2 + 1}{10} = \frac{3}{10} \Rightarrow R_p = \frac{10}{3} \approx 3.33 \, \Omega \).

Total resistance: \( R_{\text{total}} = 1 + 3.33 = 4.33 \, \Omega \).

Current: \( I = \frac{\varepsilon}{R_{\text{total}}} = \frac{10}{4.33} \approx 2.31 \, \text{A} \).

\( 2.0 \, \text{A} \)
\( 2.2 \, \text{A} \)
\( 2.31 \, \text{A} \)
\( 2.5 \, \text{A} \)
3

A hollow cylinder of mass \( 6 \, \text{kg} \) and radius \( 0.3 \, \text{m} \) has an angular momentum of \( 10.8 \, \text{kg m}^2/\text{s} \). What is its angular velocity?

\( I = M R^2 = 6 \times (0.3)^2 = 0.54 \, \text{kg m}^2 \).

\( \omega = \frac{L}{I} = \frac{10.8}{0.54} = 20 \, \text{rad/s} \).

18 rad/s
19 rad/s
20 rad/s
21 rad/s
3

A thin spherical shell of radius 25 cm has a charge of \( 15 \, \mu\text{C} \). What is the electric field at a point 30 cm from the center?

Outside shell (\( r > R \)): \( E = \frac{k q}{r^2} \).

\( k = 9 \times 10^9 \, \text{Nm}^2/\text{C}^2 \), \( q = 15 \times 10^{-6} \, \text{C} \), \( r = 0.3 \, \text{m} \).

\( E = 9 \times 10^9 \times \frac{15 \times 10^{-6}}{(0.3)^2} = 9 \times 10^9 \times \frac{15 \times 10^{-6}}{0.09} = 1.5 \times 10^6 \, \text{N/C} \).

\( 1.5 \times 10^6 \, \text{N/C} \)
\( 1.8 \times 10^6 \, \text{N/C} \)
\( 2.0 \times 10^6 \, \text{N/C} \)
\( 2.2 \times 10^6 \, \text{N/C} \)
1

A light source emits \( 3.0 \times 10^{16} \) photons per second with a power of \( 9.0 \, \text{mW} \). What is the wavelength of the light? (Take \( h = 6.63 \times 10^{-34} \, \text{J s} \), \( c = 3 \times 10^8 \, \text{m/s} \))

\( E = \frac{P}{N} = \frac{9.0 \times 10^{-3}}{3.0 \times 10^{16}} = 3.0 \times 10^{-19} \, \text{J} \).

\( \lambda = \frac{h c}{E} = \frac{6.63 \times 10^{-34} \times 3 \times 10^8}{3.0 \times 10^{-19}} = 6.63 \times 10^{-7} \, \text{m} = 663 \, \text{nm} \).

600 nm
620 nm
650 nm
663 nm
4

Two parallel wires \( 0.08 \, \text{m} \) apart carry \( 7 \, \text{A} \) and \( 4 \, \text{A} \) in opposite directions. What is the force per unit length? (\( \mu_0 = 4 \pi \times 10^{-7} \, \text{T m/A} \))

\( f = \frac{\mu_0 I_1 I_2}{2 \pi d} \).

\( f = \frac{4 \pi \times 10^{-7} \times 7 \times 4}{2 \pi \times 0.08} = \frac{112 \times 10^{-7}}{0.16} = 7 \times 10^{-6} \, \text{N/m} \).

3.5 × 10⁻⁶ N/m
1.4 × 10⁻⁵ N/m
7 × 10⁻⁶ N/m
1.05 × 10⁻⁵ N/m
3

Which base quantity’s SI unit is the candela?

The candela is the SI base unit for luminous intensity, one of the seven fundamental quantities in the SI system.

Electric current
Temperature
Amount of substance
Luminous intensity
4

In the electromagnetic spectrum, why are gamma rays associated with nuclear processes?

Gamma rays are produced by high-energy nuclear transitions or radioactive decay, as their extremely short wavelengths correspond to the energy scales of nuclear phenomena.

Low energy emission
Nuclear energy scales
Thermal emission
Visible spectrum
2

A cyclist travels at a constant speed of \( 18 \, \text{km/h} \) for \( 10 \, \text{minutes} \). What is the distance covered?

Convert speed: \( 18 \, \text{km/h} = 18 \cdot \frac{1000}{3600} = 5 \, \text{m/s} \).

Time = \( 10 \, \text{min} = 10 \cdot 60 = 600 \, \text{s} \).

Distance \( x = v t = 5 \cdot 600 = 3000 \, \text{m} = 3 \, \text{km} \).

The distance covered is \( 3 \, \text{km} \).

1.5 km
2 km
2.5 km
3 km
4

A steel rod of radius \( 0.01 \, \text{m} \) and length \( 1.5 \, \text{m} \) is subjected to a tensile force producing a stress of \( 4 \times 10^7 \, \text{N/m}^2 \). What is the force applied? (Take \( \pi \approx 3.14 \))

Stress: \( \text{Stress} = \frac{F}{A} \).

Area: \( A = \pi r^2 = 3.14 \times (0.01)^2 = 3.14 \times 10^{-4} \, \text{m}^2 \).

Force: \( F = \text{Stress} \times A = 4 \times 10^7 \times 3.14 \times 10^{-4} = 1.256 \times 10^4 \, \text{N} \).

\( 1.256 \times 10^4 \, \text{N} \)
\( 1.5 \times 10^4 \, \text{N} \)
\( 1 \times 10^4 \, \text{N} \)
\( 2 \times 10^4 \, \text{N} \)
1

In a double-slit experiment, if \( \lambda = 580 \, \text{nm} \), \( d = 0.2 \, \text{mm} \), and \( D = 1.0 \, \text{m} \), what is the distance of the fourth bright fringe from the central maximum?

Bright fringe position \( x_n = \frac{n \lambda D}{d} \). For the fourth bright fringe, \( n = 4 \).

\( \lambda = 5.8 \times 10^{-7} \, \text{m} \), \( d = 2.0 \times 10^{-4} \, \text{m} \), \( D = 1.0 \, \text{m} \).

\( x_4 = \frac{4 \times 5.8 \times 10^{-7} \times 1.0}{2.0 \times 10^{-4}} = 1.16 \times 10^{-2} \, \text{m} = 11.6 \, \text{mm} \).

11.6 mm
8.7 mm
5.8 mm
14.5 mm
1

What is the volume of a nucleus with radius \( 3.0 \times 10^{-15} \, \text{m} \)? (Use \( \pi = 3.14 \))

Volume = \( \frac{4}{3} \pi R^3 \).

\( R^3 = (3.0 \times 10^{-15})^3 = 2.7 \times 10^{-44} \, \text{m}^3 \).

Volume = \( \frac{4}{3} \times 3.14 \times 2.7 \times 10^{-44} \approx 1.13 \times 10^{-43} \, \text{m}^3 \).

1.0 × 10⁻⁴³ m³
1.13 × 10⁻⁴³ m³
1.5 × 10⁻⁴³ m³
2.0 × 10⁻⁴³ m³
2

A parallel plate capacitor with \( C = 70 \, \text{pF} \) in air has a dielectric (\( K = 5 \)) inserted fully between plates. What is the new capacitance?

\( C' = K C = 5 \times 70 = 350 \, \text{pF} \).

300 pF
350 pF
400 pF
450 pF
2

A stone is dropped from rest. What is the distance covered in the 5th second of its fall? (Take \( g = 10 \, \text{m/s}^2 \))

Distance in \( n \)-th second = \( g \cdot \frac{2n - 1}{2} \). For 5th second, \( n = 5 \).

Substitute: \( d = 10 \cdot \frac{2 \cdot 5 - 1}{2} = 10 \cdot \frac{9}{2} = 45 \, \text{m} \).

The distance covered is \( 45 \, \text{m} \).

35 m
40 m
50 m
45 m
4

The dynamic resistance of a diode is defined as:

Dynamic resistance (\( r_d \)) is the ratio of a small change in voltage (\( \Delta V \)) to the corresponding small change in current (\( \Delta I \)), i.e., \( r_d = \Delta V / \Delta I \), reflecting the diode's behavior under small signal variations.

\( \Delta I / \Delta V \)
\( V / I \)
\( I / V \)
\( \Delta V / \Delta I \)
4

Which material has \( \chi \) slightly positive and moves from weaker to stronger field regions?

Paramagnetic materials have a small positive \( \chi \) and are weakly attracted from weaker to stronger magnetic field regions.

Diamagnetic
Ferromagnetic
Paramagnetic
Superconductor
3

The dimensional formula of angular acceleration is \( [T^{-2}] \). Which quantity shares the same dimensions?

(a) \( [v^2 / r^2] = [L T^{-1}]^2 / [L]^2 = [T^{-2}] \).

(b) \( [a / r] = [L T^{-2}] / [L] = [T^{-2}] \).

(c) \( [F / m r] = [M L T^{-2}] / [M L] = [T^{-2}] \).

(d) \( [v t / r] = [L T^{-1}] [T] / [L] = [T^0] \).

(b) matches (simplest match chosen).

Velocity² / radius²
Acceleration / radius
Force / mass × radius
Velocity × time / radius
2

Four capacitors of \( 15 \, \mu\text{F} \) each are in series. What is the equivalent capacitance?

\( \frac{1}{C} = \frac{1}{15} + \frac{1}{15} + \frac{1}{15} + \frac{1}{15} = \frac{4}{15} \).

\( C = \frac{15}{4} = 3.75 \, \mu\text{F} \).

3 µF
4 µF
3.5 µF
3.75 µF
4

In a double-slit experiment, if \( \lambda = 460 \, \text{nm} \), \( d = 0.2 \, \text{mm} \), and \( D = 2.0 \, \text{m} \), what is the distance of the third bright fringe from the central maximum?

Bright fringe position \( x_n = \frac{n \lambda D}{d} \). For the third bright fringe, \( n = 3 \).

\( \lambda = 4.6 \times 10^{-7} \, \text{m} \), \( d = 2.0 \times 10^{-4} \, \text{m} \), \( D = 2.0 \, \text{m} \).

\( x_3 = \frac{3 \times 4.6 \times 10^{-7} \times 2.0}{2.0 \times 10^{-4}} = 6.9 \times 10^{-3} \, \text{m} = 6.9 \, \text{mm} \).

6.9 mm
4.6 mm
9.2 mm
3.45 mm
1

What is the critical angle for a dense flint glass (\( n = 1.62 \)) to air interface?

Critical angle: \( \sin i_c = \frac{n_2}{n_1} \).

Glass (\( n_1 = 1.62 \)), air (\( n_2 = 1 \)).

\( \sin i_c = \frac{1}{1.62} \approx 0.617 \).

\( i_c = \sin^{-1}(0.617) \approx 38.1^\circ \).

38°
42°
45°
50°
1

A copper wire carries \( 4.5 \, \text{A} \) with a drift speed of \( 1.8 \times 10^{-4} \, \text{m/s} \). If \( n = 8.5 \times 10^{28} \, \text{m}^{-3} \) and \( e = 1.6 \times 10^{-19} \, \text{C} \), what is the cross-sectional area?

Drift speed: \( v_d = \frac{I}{n e A} \).

Rearrange: \( A = \frac{I}{n e v_d} \).

Substitute: \( A = \frac{4.5}{8.5 \times 10^{28} \times 1.6 \times 10^{-19} \times 1.8 \times 10^{-4}} \).

Calculate: \( A = \frac{4.5}{2.448 \times 10^5} \approx 1.84 \times 10^{-5} \, \text{m}^2 \).

\( 1.6 \times 10^{-5} \, \text{m}^2 \)
\( 1.7 \times 10^{-5} \, \text{m}^2 \)
\( 1.8 \times 10^{-5} \, \text{m}^2 \)
\( 1.84 \times 10^{-5} \, \text{m}^2 \)
4

A circular loop of radius 18 cm is deformed into a straight wire in a 0.14 T field in 0.7 s. What is the induced emf?

Initial flux: \( \Phi = B A = 0.14 \times \pi \times (0.18)^2 = 0.01425 \, \text{Wb} \).

Final flux = 0.

\( \varepsilon = \frac{\Delta \Phi}{\Delta t} = \frac{0.01425}{0.7} = 0.02036 \, \text{V} \approx 0.02 \, \text{V} \).

0.015 V
0.02 V
0.025 V
0.03 V
2

A \( 0.3 \, \text{g} \) drop falls from \( 500 \, \text{m} \) and hits the ground at \( 15 \, \text{m/s} \). What is the work done by air resistance? (Take \( g = 10 \, \text{m/s}^2 \))

Work by gravity \( W_g = mgh = 0.0003 \times 10 \times 500 = 1.5 \, \text{J} \).

Final \( K = \frac{1}{2} \times 0.0003 \times 15^2 = 0.03375 \, \text{J} \).

\( K_f = W_g + W_r \Rightarrow 0.03375 = 1.5 + W_r \Rightarrow W_r = -1.46625 \, \text{J} \approx -1.47 \, \text{J} \).

-1.5 J
-1.47 J
-1.4 J
-1.3 J
2

Which of the following is a key feature of photons that distinguishes them from charged particles?

Photons are electrically neutral and thus not deflected by electric or magnetic fields, unlike charged particles such as electrons.

Possess mass
Carry charge
Are neutral
Have variable speed
3

What happens to the current in a purely capacitive AC circuit when the frequency of the source increases?

In a purely capacitive circuit, the capacitive reactance (\( X_C = \frac{1}{\omega C} \)) decreases as the frequency (\( f \), where \( \omega = 2\pi f \)) increases. Since current is inversely proportional to reactance (\( I = \frac{V}{X_C} \)), the current increases.

It decreases
It increases
It remains constant
It becomes zero
2

A compound microscope has an objective of focal length \( 2 \, \text{cm} \) and eyepiece of focal length \( 5 \, \text{cm} \) with a tube length of \( 18 \, \text{cm} \). What is the magnification at infinity?

Objective magnification: \( m_o = \frac{L}{f_o} = \frac{18}{2} = 9 \).

Eyepiece magnification: \( m_e = \frac{D}{f_e} = \frac{25}{5} = 5 \).

Total magnification: \( m = m_o \times m_e = 9 \times 5 = 45 \).

40
42
50
45
4

A transverse wave travels on a string with a speed of 20 m/s and a frequency of 10 Hz. What is its wavelength?

Speed: \( v = v \lambda \).

\( \lambda = \frac{v}{v} = \frac{20}{10} = 2 \, \text{m} \).

2 m
1 m
4 m
0.5 m
1

A \( 0.42 \, \text{kg} \) stone in a vertical circle of radius \( 1.4 \, \text{m} \) has a speed of \( 12 \, \text{m/s} \) at the bottom. What is the tension at the top? (Take \( g = 10 \, \text{m/s}^2 \))

At bottom: \( T_b - mg = m v_b^2 / r \Rightarrow T_b - 0.42 \times 10 = 0.42 \times (12)^2 / 1.4 \).

\( T_b - 4.2 = 0.42 \times 102.86 \Rightarrow T_b - 4.2 \approx 43.2 \Rightarrow T_b \approx 47.4 \, \text{N} \).

Energy: \( \frac{1}{2} m v_b^2 = \frac{1}{2} m v_t^2 + 2mg \).

\( 0.5 \times 0.42 \times 144 = 0.5 \times 0.42 \times v_t^2 + 2 \times 0.42 \times 10 \).

\( 30.24 = 0.21 v_t^2 + 8.4 \Rightarrow 0.21 v_t^2 = 21.84 \Rightarrow v_t^2 \approx 104 \Rightarrow v_t \approx 10.2 \, \text{m/s} \).

At top: \( T_t + mg = m v_t^2 / r \Rightarrow T_t + 4.2 = 0.42 \times 104 / 1.4 \Rightarrow T_t + 4.2 \approx 31.2 \Rightarrow T_t \approx 27 \, \text{N} \).

24 N
27 N
30 N
33 N
2

A proton moves with a speed of \( 1.8 \times 10^6 \, \text{m/s} \) perpendicular to a magnetic field of \( 0.5 \, \text{T} \). What is the radius of its path? (Mass = \( 1.67 \times 10^{-27} \, \text{kg} \), charge = \( 1.6 \times 10^{-19} \, \text{C} \))

Radius \( r = \frac{mv}{qB} \).

\( r = \frac{1.67 \times 10^{-27} \times 1.8 \times 10^6}{1.6 \times 10^{-19} \times 0.5} = \frac{3.006 \times 10^{-21}}{8 \times 10^{-20}} = 3.7575 \times 10^{-2} \, \text{m} = 3.76 \, \text{cm} \).

3.76 cm
7.52 cm
1.88 cm
5.64 cm
1

A hydrogen atom absorbs a photon of energy 12.75 eV from the ground state. To which energy level does it jump? (Use \( E_n = -\frac{13.6}{n^2} \, \text{eV} \))

\( E_1 = -13.6 \, \text{eV} \).

\( E_n = -13.6 + 12.75 = -0.85 \, \text{eV} \).

\( -0.85 = -\frac{13.6}{n^2} \Rightarrow n^2 = 16 \Rightarrow n = 4 \).

3
5
4
2
3

Why does a symmetric body rotating about its symmetry axis have angular momentum aligned with the axis?

Symmetry ensures perpendicular components of angular momentum cancel out, leaving \( \mathbf{L} = I \mathbf{\omega} \) aligned with the axis of rotation.

Due to high torque
Due to cancellation of perpendicular components
Due to zero angular velocity
Due to uneven mass distribution
2

In an intrinsic semiconductor, the number of free electrons (\( n_e \)) is equal to:

In an intrinsic semiconductor, thermal excitation generates equal numbers of free electrons (\( n_e \)) and holes (\( n_h \)), so \( n_e = n_h = n_i \), where \( n_i \) is the intrinsic carrier concentration.

Number of holes (\( n_h \))
Twice the number of holes
Half the number of holes
Zero
1

Energy required to move a \( 300 \, \text{kg} \) satellite from \( 3 R_E \) to \( 6 R_E \) is? (\( M_E = 6 \times 10^{24} \, \text{kg}, R_E = 6.4 \times 10^6 \, \text{m}, G = 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2 \))

\( \Delta E = -G M_E m \left(\frac{1}{r_2} - \frac{1}{r_1}\right) \).

\( r_1 = 3 R_E = 1.92 \times 10^7 \, \text{m} \), \( r_2 = 6 R_E = 3.84 \times 10^7 \, \text{m} \).

\( \Delta E = -6.67 \times 10^{-11} \times 6 \times 10^{24} \times 300 \left(\frac{1}{3.84 \times 10^7} - \frac{1}{1.92 \times 10^7}\right) \).

\( \Delta E = -1.201 \times 10^{17} (-2.604 \times 10^{-8}) \approx 3.13 \times 10^9 \, \text{J} \).

3.0 × 10⁹ J
3.1 × 10⁹ J
3.2 × 10⁹ J
3.3 × 10⁹ J
2

A \( 2.5 \, \text{kg} \) ball at \( 16 \, \text{m/s} \) collides elastically with a stationary \( 7.5 \, \text{kg} \) ball. What is the speed of the \( 7.5 \, \text{kg} \) ball after collision?

For elastic collision: \( v_{2f} = \frac{2 m_1}{m_1 + m_2} v_{1i} = \frac{2 \times 2.5}{2.5 + 7.5} \times 16 = \frac{5}{10} \times 16 = 8 \, \text{m/s} \).

7 m/s
8 m/s
9 m/s
10 m/s
2

What is the temperature at which the rms speed of helium atoms is 1000 m/s? (Atomic mass of He = 4 u, \(k_B = 1.38 \times 10^{-23} \, \text{J K}^{-1}\))

\(v_{\text{rms}} = \sqrt{\frac{3k_B T}{m}}\), \(m = \frac{4 \times 10^{-3}}{6.02 \times 10^{23}} = 6.64 \times 10^{-27} \, \text{kg}\).

\(1000^2 = \frac{3 \times 1.38 \times 10^{-23} \times T}{6.64 \times 10^{-27}}\), \(T = \frac{10^6 \times 6.64 \times 10^{-27}}{4.14 \times 10^{-23}} \approx 1604 \, \text{K} \).

1200 K
1604 K
2000 K
2400 K
2

What is the effect on the frequency of a simple pendulum if it is taken to a planet where gravity is one-fourth that of Earth?

Frequency \( v = \frac{1}{2\pi} \sqrt{\frac{g}{L}} \). If \( g' = \frac{g}{4} \), then \( v' = \frac{1}{2\pi} \sqrt{\frac{g/4}{L}} = \frac{1}{2} v \), halving the frequency.

It doubles
It remains the same
It increases by \( \sqrt{2} \)
It halves
4

A bar magnet with \( m = 1.5 \, \text{A m}^2 \) produces a field at \( 0.5 \, \text{m} \) on its equatorial line. What is \( B \)? (Take \( \mu_0 = 4\pi \times 10^{-7} \, \text{T m A}^{-1} \)).

\( B = \frac{\mu_0}{4\pi} \frac{m}{r^3} \).

Given: \( m = 1.5 \, \text{A m}^2 \), \( r = 0.5 \, \text{m} \), \( \frac{\mu_0}{4\pi} = 10^{-7} \).

\( B = 10^{-7} \times \frac{1.5}{(0.5)^3} = 10^{-7} \times \frac{1.5}{0.125} = 1.2 \times 10^{-6} \, \text{T} \).

1.0 × 10⁻⁶ T
1.1 × 10⁻⁶ T
1.2 × 10⁻⁶ T
1.3 × 10⁻⁶ T
3

A coil of 150 turns and area 0.05 m² is in a field that increases from 0 to 0.06 T in 0.3 s. What is the induced emf?

\( \Delta \Phi = B A = 0.06 \times 0.05 = 0.003 \, \text{Wb} \).

\( \varepsilon = N \frac{\Delta \Phi}{\Delta t} = 150 \times \frac{0.003}{0.3} = 150 \times 0.01 = 1.5 \, \text{V} \).

1.2 V
1.5 V
1.8 V
2.0 V
2

The number of valence electrons in Si and Ge atoms is:

Si (third orbit) and Ge (fourth orbit) are group IV elements, each with four valence electrons (2s and 2p for Si, 4s and 4p for Ge), forming covalent bonds in their lattice.

4
2
6
8
1

A sphere of radius \( 0.025 \, \text{m} \) moves at \( 0.08 \, \text{m/s} \) through blood (\( \eta = 2.7 \times 10^{-3} \, \text{Pa s} \)). What is the viscous drag force?

Stokes’ law: \( F = 6 \pi \eta a v \).

\( \eta = 2.7 \times 10^{-3} \, \text{Pa s} \), \( a = 0.025 \, \text{m} \), \( v = 0.08 \, \text{m/s} \).

\( F = 6 \times 3.14 \times 2.7 \times 10^{-3} \times 0.025 \times 0.08 = 1.017 \times 10^{-4} \, \text{N} \).

0.8 × 10⁻⁴ N
1.0 × 10⁻⁴ N
1.2 × 10⁻⁴ N
1.4 × 10⁻⁴ N
2

A projectile is launched at \( 45 \, \text{m/s} \) at \( 30^\circ \). What is its speed at maximum height? (Take \( g = 10 \, \text{m/s}^2, \cos 30^\circ = 0.866 \))

At maximum height, speed = \( v_x = v_0 \cos \theta_0 \).

Given: \( v_0 = 45 \, \text{m/s}, \cos 30^\circ = 0.866 \).

\( v_x = 45 \times 0.866 \approx 38.97 \, \text{m/s} \).

30 m/s
45 m/s
35 m/s
38.97 m/s
4

How much heat is required to raise the temperature of \( 0.2 \, \text{kg} \) of silver from \( 30^\circ \text{C} \) to \( 50^\circ \text{C} \)? (Specific heat of silver = \( 236.1 \, \text{J kg}^{-1} \text{K}^{-1} \))

\( \Delta Q = m s \Delta T \).

\( m = 0.2 \), \( s = 236.1 \), \( \Delta T = 50 - 30 = 20 \).

\( \Delta Q = 0.2 \times 236.1 \times 20 = 944.4 \, \text{J} \approx 944 \, \text{J} \).

800 J
944 J
1000 J
1200 J
2

Minimum speed to escape from \( 2 R_E \) from Earth’s center is? (\( g = 9.8 \, \text{m/s}^2, R_E = 6.4 \times 10^6 \, \text{m} \))

\( v_e = \sqrt{\frac{2 g R_E^2}{2 R_E}} = \sqrt{g R_E} \).

\( v_e = \sqrt{9.8 \times 6.4 \times 10^6} = \sqrt{6.272 \times 10^7} \).

\( v_e \approx 7.92 \times 10^3 \, \text{m/s} \approx 7.9 \, \text{km/s} \).

7.5 km/s
7.7 km/s
7.9 km/s
8.1 km/s
3

A \( 0.2 \, \text{kg} \) aluminium block at \( 120^\circ \text{C} \) is placed in \( 0.8 \, \text{kg} \) of water at \( 20^\circ \text{C} \) in a \( 0.1 \, \text{kg} \) copper calorimeter at \( 20^\circ \text{C} \). What is the final temperature? (Specific heat of aluminium = \( 900 \, \text{J kg}^{-1} \text{K}^{-1} \), water = \( 4186 \, \text{J kg}^{-1} \text{K}^{-1} \), copper = \( 386 \, \text{J kg}^{-1} \text{K}^{-1} \))

Heat lost = Heat gained.

\( 0.2 \times 900 \times (120 - T) = (0.8 \times 4186 + 0.1 \times 386) \times (T - 20) \).

\( 21600 - 180 T = (3348.8 + 38.6) \times (T - 20) = 3387.4 T - 67748 \).

\( 21600 + 67748 = 3387.4 T + 180 T \).

\( 89348 = 3567.4 T \Rightarrow T \approx 25.04^\circ \text{C} \approx 25^\circ \text{C} \).

25°C
26°C
24°C
27°C
1

A \( 0.31 \, \text{kg} \) stone is whirled in a horizontal circle of radius \( 1.3 \, \text{m} \) at \( 54 \, \text{rev/min} \). What is the tension? (Take \( g = 10 \, \text{m/s}^2 \))

Angular speed: \( \omega = 54 \times \frac{2\pi}{60} = \frac{9\pi}{5} \, \text{rad/s} \).

\( \omega^2 = \left(\frac{9\pi}{5}\right)^2 = \frac{81\pi^2}{25} \approx 31.99 \).

Tension: \( T = m \omega^2 r = 0.31 \times 31.99 \times 1.3 \).

\( T \approx 0.31 \times 31.99 \times 1.3 \approx 12.9 \, \text{N} \).

11 N
12.9 N
14.5 N
16 N
2

A conductor has a resistivity of \( 1.0 \times 10^{-7} \, \Omega \text{m} \) and \( \alpha = 4 \times 10^{-3} \, ^\circ\text{C}^{-1} \) at \( 25^\circ \text{C} \). What is its resistivity at \( 85^\circ \text{C} \)?

Use: \( \rho_t = \rho_0 [1 + \alpha (T - T_0)] \).

Substitute: \( \rho_t = 1.0 \times 10^{-7} [1 + 4 \times 10^{-3} (85 - 25)] \).

Calculate: \( \rho_t = 1.0 \times 10^{-7} [1 + 0.24] = 1.0 \times 10^{-7} \times 1.24 = 1.24 \times 10^{-7} \, \Omega \text{m} \).

\( 1.2 \times 10^{-7} \, \Omega \text{m} \)
\( 1.22 \times 10^{-7} \, \Omega \text{m} \)
\( 1.24 \times 10^{-7} \, \Omega \text{m} \)
\( 1.3 \times 10^{-7} \, \Omega \text{m} \)
3

Chemistry

Which compound exhibits chain isomerism with \( \ce{CH3CH2CH2CH2CH2CH3} \)?

\( \ce{CH3CH2CH2CH2CH2CH3} \) (hexane) has a straight chain. \( \ce{CH3CH2CH(CH3)CH2CH3} \) (3-methylpentane) has the same formula (\( \ce{C6H14} \)) but a branched chain.

\( \ce{CH3CH2CH3} \)
\( \ce{CH3CH2CH(CH3)CH2CH3} \)
\( \ce{CH3CH2CH2CH=CH2} \)
\( \ce{CH3CH2CH2OH} \)
2

For the reaction \(\ce{H2O(s) -> H2O(l)}\), what are the signs of \(\Delta H\) and \(\Delta S\)?

Melting is endothermic (\(\Delta H > 0\)) and increases disorder (\(\Delta S > 0\)).

\(\Delta H < 0, \Delta S < 0\)
\(\Delta H < 0, \Delta S > 0\)
\(\Delta H > 0, \Delta S < 0\)
\(\Delta H > 0, \Delta S > 0\)
4

Calculate the heat required to raise the temperature of 40 g of ethanol from 25°C to 35°C (specific heat of ethanol = 2.46 J/g·K).

\(q = m \times c \times \Delta T\). \(m = 40 g\), \(c = 2.46 J/g·K\), \(\Delta T = 35 - 25 = 10 K\). \(q = 40 \times 2.46 \times 10 = 984 J = 0.984 kJ\).

0.492 kJ
0.984 kJ
1.968 kJ
2.46 kJ
2

What is the work function of a metal if radiation of wavelength 242 nm just ionizes it? (\( h = 6.626 \times 10^{-34} \, \text{J s} \), \( c = 3.0 \times 10^8 \, \text{m s}^{-1} \), \( N_A = 6.022 \times 10^{23} \, \text{mol}^{-1} \))

Energy per photon = \( \frac{hc}{\lambda} = \frac{6.626 \times 10^{-34} \times 3.0 \times 10^8}{242 \times 10^{-9}} = 8.22 \times 10^{-19} \, \text{J} \). Per mole = \( 8.22 \times 10^{-19} \times 6.022 \times 10^{23} = 494 \, \text{kJ mol}^{-1} \).

400 kJ mol-1
450 kJ mol-1
500 kJ mol-1
494 kJ mol-1
4

What is the bond angle in \( \ce{NH3} \) molecule?

\( \ce{NH3} \) has a tetrahedral electron pair geometry (3 bonds, 1 lone pair), but lone pair repulsion reduces the bond angle to 107°.

104.5°
109.5°
107°
120°
3

Which reagent is used for selective oxidation of primary alcohols to aldehydes?

Pyridinium chlorochromate (PCC) is used to selectively oxidize primary alcohols to aldehydes without further oxidation to carboxylic acids.

KMnO4
PCC
NaBH4
Conc. H2SO4
2

What is the SI unit of frequency?

Frequency, the number of waves passing a point per second, is measured in hertz (Hz), where \(1 \, \text{Hz} = 1 \, \text{s}^{-1}\).

Hertz
Meter
Joule
Watt
1

Which of the following is the major product when benzaldehyde reacts with concentrated NaOH?

Benzaldehyde undergoes Cannizzaro reaction in the presence of concentrated NaOH to form benzyl alcohol and sodium benzoate.

Benzyl alcohol and benzoic acid
Benzoic acid and benzyl alcohol
Benzyl alcohol and sodium benzoate
Benzophenone
3

For \( \ce{N2(g) + O2(g) <=> 2NO(g)} \), \( K_c = 0.02 \) at 1500 K. What is \( K_c \) for \( \ce{NO(g) <=> 1/2 N2(g) + 1/2 O2(g)} \)?

For the reverse halved reaction, \( K_c' = \frac{1}{\sqrt{K_c}} = \frac{1}{\sqrt{0.02}} \approx 7.07 \).

0.02
0.14
50
7.1
4

A solution of two volatile liquids A and B has a total vapor pressure of 280 mm Hg. If the vapor pressure of pure A is 400 mm Hg and that of pure B is 160 mm Hg, what is the mole fraction of B in the solution?

Using Raoult's law: \( p_{\text{total}} = x_A p_A^0 + x_B p_B^0 \), where \( x_A + x_B = 1 \).

\( 280 = (1 - x_B) \cdot 400 + x_B \cdot 160 \).

\( 280 = 400 - 400 x_B + 160 x_B \).

\( 280 = 400 - 240 x_B \), \( 240 x_B = 120 \), \( x_B = 0.5 \).

0.25
0.5
0.75
0.33
2

Which of the following compounds is prepared by the electrolytic oxidation of manganate ion?

\( \ce{KMnO4} \) is commercially prepared by oxidizing \( \ce{MnO4^{2-}} \) (manganate) to \( \ce{MnO4^-} \) (permanganate) via electrolysis.

\( \ce{K2Cr2O7} \)
\( \ce{K2MnO4} \)
\( \ce{MnO2} \)
\( \ce{KMnO4} \)
4

What is the IUPAC name of \( \ce{CH3CH=CHCHO} \)?

The compound has a 4-carbon chain with a double bond between carbons 2 and 3 and an aldehyde group at carbon 1. The suffix is -al, and the double bond is indicated by -en-. The name is but-2-enal.

Butanal
But-1-enal
But-2-enal
But-3-enal
3

Which reagent is used in Lassaigne’s test to detect nitrogen and sulphur together in an organic compound?

When both N and S are present, they form \( \ce{NaSCN} \) in Lassaigne’s test, which reacts with \( \ce{FeCl3} \) to give a blood-red color (\( \ce{Fe(SCN)3} \)).

\( \ce{FeCl3} \)
\( \ce{AgNO3} \)
\( \ce{Pb(CH3COO)2} \)
\( \ce{NaOH} \)
1

A compound has an empirical formula C₂H₃O₂ and a molar mass of 118 g/mol. What is its molecular formula? (Atomic masses: C = 12, H = 1, O = 16)

Empirical mass = (2 × 12) + (3 × 1) + (2 × 16) = 24 + 3 + 32 = 59 g/mol.

n = 118 / 59 = 2.

Molecular formula = C₄H₆O₄.

C₂H₃O₂
C₃H₅O₃
C₅H₇O₅
C₄H₆O₄
4

What is the shape of the \( \ce{NH3} \) molecule?

Ammonia (\( \ce{NH3} \)) has a nitrogen with \( sp^3 \) hybridization, three bonds, and one lone pair, resulting in a trigonal pyramidal shape.

Tetrahedral
Trigonal pyramidal
Trigonal planar
Linear
2

What is the IUPAC name of N-Methylpropan-2-amine (\( \ce{(CH3)2CHNHCH3} \))?

For secondary amines, the larger alkyl group (propan-2-yl) is the parent, and the smaller group (methyl) is an N-substituent. Thus, \( \ce{(CH3)2CHNHCH3} \) is N-methylpropan-2-amine.

N-Methylpropan-1-amine
N,N-Dimethylpropanamine
N-Methylpropan-2-amine
2-Methylaminopropane
3

Which reagent is used in the Finkelstein reaction?

Finkelstein reaction involves halogen exchange using sodium iodide in dry acetone.

\( \ce{NaI} \)
\( \ce{AgNO3} \)
\( \ce{NaBr} \)
\( \ce{KCl} \)
1

Which of the following lanthanoids exhibits the +2 oxidation state due to a half-filled 4f subshell?

Eu (Z = 63) forms \( \ce{Eu^{2+}} \) with \( 4f^7 \), a stable half-filled configuration.

Eu
Ce
Gd
Lu
1

What is the catalyst used in the electrodes of a hydrogen-oxygen fuel cell?

Finely divided platinum or palladium metal is used as a catalyst in the porous carbon electrodes.

Nickel
Iron
Gold
Platinum
4

What is the major product formed when acetaldehyde reacts with concentrated NaOH?

Acetaldehyde undergoes aldol condensation in the presence of NaOH to form β-hydroxy aldehyde, which further dehydrates to an α,β-unsaturated aldehyde.

Methanol
But-2-enal
Benzyl alcohol
Ethanoic acid
2

Which alcohol is used in the preparation of chloroform?

Chloroform is prepared by the haloform reaction, which requires ethanol or isopropanol.

Methanol
Ethanol
Propan-1-ol
Phenol
2

For the reaction \( \ce{2CO(g) + O2(g) <=> 2CO2(g)} \), \( K_c = 25 \) at 1000 K. If initial concentrations are \( [\ce{CO}] = 0.2 \) M and \( [\ce{O2}] = 0.1 \) M, what is \( [\ce{CO2}] \) at equilibrium?

Let \( [\ce{CO2}] = 2x \), then \( [\ce{CO}] = 0.2 - 2x \), \( [\ce{O2}] = 0.1 - x \).

\( K_c = \frac{[\ce{CO2}]^2}{[\ce{CO}]^2 [\ce{O2}]} = \frac{(2x)^2}{(0.2 - 2x)^2 (0.1 - x)} = 25 \).

Assume \( x \approx 0.1 \) (near completion), adjust: \( 2x \approx 0.18 \) M (simplified).

0.18 M
0.2 M
0.1 M
0.36 M
1

Which of the following hydrocarbons does not undergo addition reactions?

Aromatic hydrocarbons, such as benzene, do not readily undergo addition reactions.

Alkanes
Alkenes
Alkynes
Aromatic hydrocarbons
4

A zero-order reaction has a rate constant of \( 7.0 \times 10^{-3} \, \ce{mol L^{-1} s^{-1}} \). What is the half-life if the initial concentration is 0.28 M?

For zero order, \( t_{1/2} = \frac{[\ce{R}]_0}{2k} = \frac{0.28}{2 \times 7.0 \times 10^{-3}} = 20 \, \ce{s} \).

20 s
10 s
30 s
40 s
1

Which reagent is used in the preparation of Grignard reagents?

Grignard reagents are prepared by reacting alkyl halides with magnesium in dry ether.

Sodium in ethanol
Magnesium in dry ether
Zinc in acetic acid
Lithium in ammonia
2

Which complex is diamagnetic?

\( \ce{[Pt(CN)4]^{2-}} \) (Pt²⁺, \( d^8 \)) with strong field \( \ce{CN^-} \) in a square planar geometry is low spin, with 0 unpaired electrons, making it diamagnetic.

\( \ce{[Ni(NH3)6]^{2+}} \)
\( \ce{[Pt(CN)4]^{2-}} \)
\( \ce{[Fe(H2O)6]^{2+}} \)
\( \ce{[CoF6]^{3-}} \)
2

How many optical isomers are possible for \( \ce{[Co(NH3)2(en)2]^{3+}} \)?

\( \ce{[Co(NH3)2(en)2]^{3+}} \) is octahedral with two bidentate \( \ce{en} \) ligands and lacks symmetry in its cis form, forming 2 optical isomers (d and l).

1
3
2
0
3

Which species in \( \ce{2KI + H2O2 + H2SO4 -> I2 + K2SO4 + 2H2O} \) acts as the reducing agent?

\( \ce{KI} \) (I⁻: -1 to 0) is oxidized, reducing \( \ce{H2O2} \) (O: -1 to -2), so \( \ce{KI} \) is the reducing agent.

H₂O₂
H₂SO₄
I₂
KI
4

How many moles of electrons are required to reduce 1 mol of Cr³⁺ to Cr(s)?

Reaction: \( \ce{Cr^3+ + 3e- -> Cr(s)} \).

3 moles of electrons are required per mole of Cr³⁺.

3
2
1
4
1

How many grams of glucose (\( \ce{C6H12O6} \)) are required to depress the freezing point of 900 g of water by 0.31 K? (\( K_f = 1.86 \, \text{K kg/mol}, \text{Molar mass of glucose} = 180 \, \text{g/mol} \))

\( \Delta T_f = K_f \cdot m \).

\( 0.31 = 1.86 \cdot m \), \( m = 0.1667 \, \text{mol/kg} \).

Moles = \( 0.1667 \times 0.9 = 0.15 \, \text{mol} \).

Mass = \( 0.15 \times 180 = 27 \, \text{g} \).

13.5 g
36 g
18 g
27 g
4

The density of a 1 M solution of a substance is 1.2 g/mL. What is the mass of 500 mL of this solution?

Mass = Density × Volume = 1.2 × 500 = 600 g.

400 g
500 g
600 g
700 g
3

Which compound involves ionic bonding between a group 1 element and a group 16 element?

\( \ce{K2S} \) forms by electron transfer from potassium (group 1) to sulfur (group 16), creating \( \ce{K^+} \) and \( \ce{S^2-} \).

\( \ce{H2O} \)
\( \ce{K2S} \)
\( \ce{CH4} \)
\( \ce{NH3} \)
2

What is the heat released when 44 g of propane (C₃H₈) burns completely? (\(\Delta H^\circ = -2219.85 kJ/mol\), molar mass = 44 g/mol)

Moles = \(44 / 44 = 1 mol\). Heat = \(1 \times 2219.85 = 2219.85 kJ\).

1109.93 kJ
4439.7 kJ
554.96 kJ
2219.85 kJ
4

In which compound does the central atom exhibit an expanded octet?

In \( \ce{SF6} \), sulfur has 12 electrons around it (6 bonds), exceeding the octet, possible due to 3d orbitals.

\( \ce{BF3} \)
\( \ce{NH3} \)
\( \ce{SF6} \)
\( \ce{CH4} \)
3

How many ions are produced when \( \ce{[Co(NH3)4Cl2]Cl} \) dissolves in water?

\( \ce{[Co(NH3)4Cl2]Cl} \) dissociates into \( \ce{[Co(NH3)4Cl2]+} \) and 1 \( \ce{Cl^-} \), yielding 2 ions.

3
4
2
1
3

A first-order reaction has a rate constant of \( 0.01732 \, \ce{min^{-1}} \). What is the half-life in minutes?

\( t_{1/2} = \frac{0.693}{k} = \frac{0.693}{0.01732} = 40 \, \ce{min} \).

20
30
40
60
3

Which group of elements is known for having the highest electronegativity values?

Group 17 (halogens) has the highest electronegativity, with F at 4.0 on the Pauling scale.

Group 1
Group 2
Group 16
Group 17
4

Which reagent is used for the selective reduction of carboxylic acids to aldehydes?

DIBAL-H (Diisobutylaluminium hydride) is used for the selective reduction of carboxylic acids and esters to aldehydes.

LiAlH4
NaBH4
DIBAL-H
KMnO4
3

A solution has a density of 1.22 g/mL and contains 35% by mass H₂SO₄. What is its molarity? (Molar mass of H₂SO₄ = 98 g/mol)

Assume 100 g solution. H₂SO₄ = 35 g.

Moles = 35 / 98 ≈ 0.3571 mol.

Volume = 100 / 1.22 ≈ 81.97 mL = 0.08197 L.

Molarity = 0.3571 / 0.08197 ≈ 4.36 M ≈ 4.4 M.

4.4 M
4.0 M
4.5 M
5.0 M
1

A first-order reaction has a rate constant of \( 0.01386 \, \ce{min^{-1}} \). What percentage of the reactant remains after 100 minutes?

\( \ln \frac{[\ce{R}]_0}{[\ce{R}]} = k t = 0.01386 \times 100 = 1.386 \).

\( \frac{[\ce{R}]}{[\ce{R}]_0} = e^{-1.386} = 0.25 \), so 25% remains.

50%
10%
75%
25%
4

Which of the following conditions favors the oxidation of alkanes to alcohols?

Controlled oxidation of alkanes in the presence of a catalyst like \( \ce{KMnO4} \) leads to the formation of alcohols.

Excess oxygen
High temperature
Oxidizing agents like \( \ce{KMnO4} \)
Sunlight
3

The hormone that stimulates milk ejection is:

Oxytocin, released from the posterior pituitary, triggers milk ejection by contracting myoepithelial cells in the mammary glands.

Prolactin
Estrogen
Oxytocin
Progesterone
3

The electron gain enthalpy of oxygen is less negative than sulfur because:

Oxygen’s smaller 2p orbitals experience greater electron repulsion when an electron is added compared to sulfur’s 3p orbitals.

Sulfur has a larger atomic radius
Oxygen has greater electron repulsion
Oxygen has a higher nuclear charge
Sulfur has a stable configuration
2

The purple color of \( \ce{MnO4^-} \) ion is attributed to which phenomenon?

The intense purple color of \( \ce{MnO4^-} \) results from charge transfer from oxygen p orbitals to manganese d orbitals, not d-d transitions.

Charge transfer
d-d transition
f-f transition
Magnetic resonance
1

For \( \ce{2SO3(g) <=> 2SO2(g) + O2(g)} \), adding an inert gas at constant pressure will:

\( \Delta n = (2 + 1) - 2 = 1 \). At constant pressure, adding an inert gas increases volume, shifting to products (more moles).

Shift to reactants
No effect
Shift to products
Decrease \( K_p \)
3

Botany

Which of the following is incorrect about telophase II?

Nuclear envelope reforms
Cytokinesis occurs
Four diploid cells are produced
Chromosomes decondense
3

Telophase II results in four haploid cells, not diploid cells.

Which of the following is a post-transcriptional modification in eukaryotes?

RNA splicing
DNA replication
Protein folding
Translation
1

RNA splicing is a post-transcriptional modification that removes introns from pre-mRNA in eukaryotes.

Which of the following is incorrect about prophase I of meiosis?

It is longer and more complex than prophase of mitosis
It includes five sub-stages
Crossing over occurs in zygotene
Homologous chromosomes pair up
3

Crossing over occurs in the pachytene stage, not in zygotene.

Which of the following statements about venation is correct?

Mango exhibits parallel venation
Grass exhibits reticulate venation
Monocots typically have parallel venation
Dicots have only parallel venation
3

Monocots, such as grasses, exhibit parallel venation, where veins run parallel to each other.

Which of the following statements about genetic variation is correct?

Mutation is the only source of genetic variation.
Genetic variation can result from recombination.
All mutations lead to harmful effects.
Genetic drift does not contribute to variation.
2

Recombination during meiosis is a major source of genetic variation along with mutation and gene flow.

Which group of fungi includes plant parasites like rust and smut fungi?

Ascomycetes
Basidiomycetes
Deuteromycetes
Phycomycetes
2

Basidiomycetes include plant parasites like Puccinia (rust fungi) and Ustilago (smut fungi).

What is the chromosomal composition of a male with Klinefelter’s syndrome?

45, XO
47, XXY
46, XY
47, XYY
2

Klinefelter’s syndrome is characterized by an extra X chromosome, resulting in a 47, XXY karyotype.

Which of the following enzymes is responsible for synthesizing the lagging strand during DNA replication?

DNA polymerase I
DNA polymerase III
Ligase
Primase
2

DNA polymerase III synthesizes the lagging strand in short Okazaki fragments during DNA replication.

Which compound is transported from the mesophyll to the bundle sheath cells in the C₄ pathway?

PGA
Malate
G3P
RuBP
2

In C₄ plants, malate is transported from mesophyll cells to bundle sheath cells, where it releases CO₂ for the Calvin cycle.

Which of the following is NOT a part of the epidermal tissue system?

Stomata
Trichomes
Xylem
Epidermal cells
3

Xylem is a part of the vascular tissue system, whereas stomata, trichomes, and epidermal cells belong to the epidermal tissue system.

Which of the following statements about the water cycle is incorrect?

Transpiration contributes to the water cycle
Water is constantly cycled between different reservoirs
Water is permanently lost from ecosystems
Precipitation returns water to the Earth's surface
3

Water is not permanently lost from ecosystems; it continuously cycles through different forms.

Which factor is NOT considered in the logistic growth model?

Intrinsic rate of natural increase
Carrying capacity
Population density
Mutation rate
4

The logistic growth model considers carrying capacity, population density, and birth/death rates, but not mutation rate.

Which of the following statements about species richness is incorrect?

Species richness is highest in tropical regions.
Species richness increases towards the poles.
Species richness is an important measure of biodiversity.
Higher species richness enhances ecosystem resilience.
2

Species richness is highest in tropical regions and decreases towards the poles due to harsher climatic conditions.

Which of the following statements about rRNA is incorrect?

rRNA forms the structural component of ribosomes.
rRNA has catalytic activity in protein synthesis.
rRNA carries genetic information to the ribosome.
rRNA is synthesized in the nucleolus in eukaryotic cells.
3

rRNA **does not carry genetic information**; that function is performed by mRNA.

Which type of modification is seen in the roots of banyan trees?

Pneumatophores
Prop roots
Stilt roots
Tuberous roots
2

Prop roots arise from aerial branches in banyan trees and provide additional support.

In the pollen grain, which cell ultimately fuses with the egg cell?

Vegetative cell
Generative cell
Synergid cell
Antipodal cell
2

The generative cell divides (often before or during pollen tube growth) to produce two sperm cells; one of these fuses with the egg cell.

Which of the following statements about ecological succession is incorrect?

Primary succession occurs in areas without pre-existing life.
Secondary succession happens in areas where an ecosystem previously existed.
Succession always leads to an unstable community.
Climax communities are relatively stable ecosystems.
3

Succession generally leads to a stable climax community, not an unstable one.

Which of the following bioactive molecules is used as an immunosuppressant?

Statins
Streptokinase
Cyclosporin A
Penicillin
3

Cyclosporin A, produced by Trichoderma polysporum, suppresses the immune system in organ transplant patients.

Which part of a monocot seed is responsible for food storage?

Cotyledon
Endosperm
Plumule
Radicle
2

In monocot seeds like maize, the endosperm stores food for the developing embryo.

Which of the following statements about the cytoskeleton is correct?

The cytoskeleton is composed only of actin filaments.
The cytoskeleton maintains cell shape and facilitates movement.
The cytoskeleton is found only in prokaryotic cells.
The cytoskeleton stores genetic information.
2

The cytoskeleton provides mechanical support, maintains cell shape, and enables intracellular transport and movement.

Which process allows the exchange of genetic material between homologous chromosomes?

Replication
Transcription
Crossing over
Translation
3

Crossing over occurs during meiosis and allows genetic recombination between homologous chromosomes.

What makes species the most fundamental unit of classification?

Species share similar genetic makeup and can interbreed
Species are the largest taxonomic unit
Species are ranked above the genus level
Species have no common features
1

A species consists of individuals that share a similar genetic makeup and can interbreed to produce fertile offspring.

What is the main function of the endoplasmic reticulum (ER)?

Protein synthesis and lipid synthesis
Photosynthesis
ATP production
Storage of genetic information
1

The rough ER is involved in protein synthesis, while the smooth ER is responsible for lipid synthesis.

What is the key difference between mitosis and meiosis?

Mitosis produces haploid cells, meiosis produces diploid cells
Mitosis occurs in gametes, meiosis occurs in somatic cells
Mitosis produces identical cells, meiosis results in genetic variation
Mitosis involves two cell divisions, meiosis involves one
3

Mitosis produces genetically identical cells, while meiosis introduces genetic variation through recombination.

Which of the following statements about phyllotaxy is incorrect?

Sunflower exhibits alternate phyllotaxy
Guava has opposite phyllotaxy
Alstonia shows whorled phyllotaxy
All plants have opposite phyllotaxy
4

Not all plants exhibit opposite phyllotaxy; different plants may have alternate, opposite, or whorled arrangements.

Which of the following molecules is directly involved in the light-dependent reactions?

RuBP
NADP+
PGA
PEP
2

NADP+ accepts electrons and hydrogen to form NADPH in the light-dependent reactions.

Which of the following is NOT a component of the Electron Transport System?

Cytochrome c
Ubiquinone
ATP synthase
Ribosomes
4

Ribosomes are not part of the Electron Transport System; they are involved in protein synthesis.

Which of the following statements about pericycle in roots is correct?

The pericycle is the innermost layer of the cortex.
The pericycle gives rise to lateral roots.
The pericycle is absent in dicot roots.
The pericycle is made up of xylem and phloem tissues.
2

The pericycle is responsible for the initiation of lateral roots in dicot and monocot roots.

Which pathway is used by plants such as maize and sugarcane to minimize photorespiration?

C₃ pathway
C₄ pathway
CAM pathway
Glycolysis
2

C₄ plants, such as maize and sugarcane, use the C₄ pathway to minimize photorespiration and increase CO₂ efficiency.

Which type of conservation method is used in "biosphere reserves"?

Ex situ conservation
In situ conservation
Cloning
Artificial propagation
2

Biosphere reserves are a part of in situ conservation, where species are protected in their natural habitat.

Which plant hormone is used commercially for fruit ripening?

Gibberellin
Cytokinin
Ethylene
Auxin
3

Ethylene is widely used for the artificial ripening of fruits such as bananas and tomatoes.

Which of the following statements about codons is incorrect?

Each codon consists of three nucleotides.
Codons specify amino acids in protein synthesis.
Codons can be overlapping in mRNA.
A stop codon signals the end of translation.
3

The **genetic code is non-overlapping**, meaning codons are read sequentially.

Which of the following statements about sex determination is correct?

Humans follow the XY sex determination system.
Birds follow the XO sex determination system.
Males in humans have two X chromosomes.
Sex determination in all organisms is controlled by the same genetic mechanism.
1

Humans follow the XY system, where males are XY and females are XX.

Which human activity is responsible for the destruction of coral reef ecosystems?

Overfishing
Deforestation
Mining
Agriculture
1

Overfishing and destructive fishing practices, such as blast fishing, are major causes of coral reef destruction.

Which of the following is a correct statement about the importance of biodiversity?

Biodiversity provides ecosystem services such as pollination and climate regulation.
Biodiversity has no impact on human well-being.
Biodiversity is not important for maintaining ecological balance.
Biodiversity loss has no consequences for ecosystems.
1

Biodiversity is essential for ecosystem services, including pollination, soil fertility, water purification, and climate regulation.

Which of the following statements about aerobic respiration is INCORRECT?

It requires oxygen
It produces ATP
It occurs in the cytoplasm only
It involves the Electron Transport Chain
3

Aerobic respiration occurs in both the cytoplasm (glycolysis) and mitochondria (Krebs cycle and Electron Transport Chain), not just the cytoplasm.

Which phase of plant growth involves rapid cell division and large nuclei?

Maturation phase
Elongation phase
Meristematic phase
Stationary phase
3

The meristematic phase is characterized by active cell division, large nuclei, and thin primary cell walls.

Which region of the root contains meristematic cells that actively divide?

Region of elongation
Region of maturation
Region of meristematic activity
Root cap
3

The region of meristematic activity consists of small, actively dividing cells responsible for root growth.

Which chromosomal disorder is also referred to as Trisomy 18?

Down’s syndrome
Edward’s syndrome
Patau syndrome
Turner’s syndrome
2

Edward’s syndrome is caused by trisomy of chromosome 18, leading to severe developmental issues.

Which of the following best describes the function of enhancers?

They initiate translation
They prevent transcription
They increase the rate of transcription
They act as stop codons
3

Enhancers are DNA sequences that increase the rate of transcription by interacting with transcription factors.

Which of the following statements about fungi is correct?

Fungi have cell walls composed of chitin.
Fungi perform photosynthesis.
Fungi store carbohydrates as starch.
Fungi reproduce only through sexual reproduction.
1

Fungal cell walls are made of chitin, unlike plant cell walls, which are composed of cellulose.

Which of the following conditions results from monosomy of the X chromosome?

Klinefelter’s syndrome
Turner’s syndrome
Down’s syndrome
Edward’s syndrome
2

Turner’s syndrome is caused by monosomy of the X chromosome (45, XO), leading to sterility and other developmental issues.

Which pteridophyte has microphyllous leaves?

Dryopteris
Selaginella
Pteris
Adiantum
2

Selaginella, a lycopsid pteridophyte, has small, simple leaves known as microphylls.

Which of the following is incorrect about mitochondria?

Mitochondria are known as the powerhouse of the cell.
Mitochondria have their own DNA.
Mitochondria produce ribosomes.
Mitochondria are involved in cellular respiration.
3

Mitochondria do not produce ribosomes; they produce ATP through cellular respiration.

Which of the following statements about seed dormancy is correct?

Seed dormancy prevents germination under unfavorable environmental conditions.
Seed dormancy causes immediate germination once the seed is released.
Seed dormancy is absent in all endospermic seeds.
Seed dormancy only occurs in seeds that develop through apomixis.
1

Seed dormancy is an adaptive trait that prevents germination during unsuitable environmental conditions, ensuring seedling survival.

Zoology

Which cell type in the testes is responsible for supporting and nourishing developing sperm cells?

Leydig cells
Sertoli cells
Germ cells
Epididymal cells
2

Sertoli cells provide structural and nutritional support to developing sperm within the seminiferous tubules.

Which chamber in a frog’s heart receives deoxygenated blood?

Left atrium
Right atrium
Ventricle
Conus arteriosus
2

The right atrium of the frog’s heart receives deoxygenated blood from the body through the vena cava.

Which enzyme is used to cut DNA at specific sites during genetic manipulation?

Ligase
Endonuclease
Reverse transcriptase
DNA polymerase
2

Endonuclease enzymes cut DNA at specific recognition sites during genetic manipulation.

What is the primary role of the acrosomal reaction during fertilization?

To provide energy for sperm motility
To initiate the capacitation process
To facilitate the penetration of the zona pellucida
To trigger the cortical reaction in the oocyte
3

The acrosomal reaction releases enzymes that digest the zona pellucida, enabling the sperm to penetrate and fuse with the oocyte.

Which of the following statements about histamine is incorrect?

Histamine is released by mast cells.
Histamine is involved in allergic reactions.
Histamine inhibits inflammation.
Histamine causes vasodilation.
3

Histamine does not inhibit inflammation; instead, it promotes inflammation and allergic responses.

Which connective tissue connects bones to other bones?

Tendon
Ligament
Cartilage
Synovial membrane
2

Ligaments are strong connective tissues that connect bones and stabilize joints.

Which of the following statements about testosterone is correct?

Testosterone is secreted by the ovaries.
Testosterone is responsible for male secondary sexual characteristics.
Testosterone is secreted by the anterior pituitary.
Testosterone is a peptide hormone.
2

Testosterone, secreted by the testes, is responsible for male secondary sexual characteristics such as muscle growth and voice deepening.

Which of the following statements about muscle contraction is incorrect?

Actin filaments slide over myosin filaments.
Myosin heads contain ATPase activity.
ATP is not required for cross-bridge formation.
Calcium ions play a role in contraction.
3

ATP is required for cross-bridge formation and subsequent muscle contraction​.

Which of the following is an example of a heteropolymer?

Cellulose
Glycogen
Protein
Starch
3

Proteins are heteropolymers as they are composed of different amino acids.

Which of the following is a reducing sugar?

Sucrose
Lactose
Starch
Cellulose
2

Lactose is a reducing sugar because it has a free aldehyde or ketone group.

Which of the following statements about gel electrophoresis is incorrect?

Gel electrophoresis separates DNA fragments based on size.
Smaller DNA fragments migrate slower than larger fragments.
Agarose gel is commonly used for DNA electrophoresis.
Gel electrophoresis requires an electric field to move DNA through the gel.
2

Smaller DNA fragments migrate faster through the gel than larger fragments due to lower resistance.

Which blood vessel carries filtered blood away from the glomerulus?

Afferent arteriole
Efferent arteriole
Renal vein
Peritubular capillaries
2

The efferent arteriole carries blood away from the glomerulus after filtration.

Which evolutionary force introduces new genetic variations through changes in DNA sequences?

Gene Flow
Natural Selection
Mutation
Genetic Drift
3

Mutation introduces new genetic variations by altering DNA sequences.

Which of the following bones is a part of the pelvic girdle?

Scapula
Clavicle
Ilium
Humerus
3

The ilium is one of the three bones that form the pelvic girdle, along with the ischium and pubis.

Which part of the frog’s brain is responsible for vision?

Olfactory lobes
Optic lobes
Medulla oblongata
Cerebellum
2

The optic lobes in the frog’s brain process visual information.

Which of the following statements about neurons is correct?

Neurons are the structural and functional units of the nervous system.
Neurons can divide and regenerate like normal body cells.
Neurons do not require energy to transmit impulses.
Neurons lack a cell membrane.
1

Neurons are the structural and functional units of the nervous system responsible for transmitting electrical signals.

Which protein crystals produced by Bacillus thuringiensis kill insect pests?

Toxin B
Cry protein
Bt protein
Lysin
2

Cry proteins produced by Bacillus thuringiensis form crystals that are toxic to insect pests.

Which of the following statements about veins is true?

They have thick, muscular walls
They carry blood under high pressure
They have valves to prevent backflow
They always carry oxygenated blood
3

Veins have valves to prevent the backflow of blood since they carry blood under low pressure.

Which of the following is a key advantage of PCR over traditional cloning methods?

PCR requires living cells
PCR can amplify DNA in hours
PCR introduces fewer mutations
PCR does not require primers
2

PCR is a rapid method for amplifying DNA sequences within hours, unlike traditional cloning, which takes days or weeks.

Which of the following is NOT a characteristic of restriction enzymes?

They recognize specific palindromic sequences
They cut DNA at specific sites
They always produce blunt ends
They are derived from bacteria
3

Restriction enzymes can produce either sticky or blunt ends, depending on the type.

Which type of enzyme inhibition occurs when an inhibitor binds to the enzyme at a site other than the active site?

Competitive inhibition
Non-competitive inhibition
Uncompetitive inhibition
Allosteric activation
2

In non-competitive inhibition, the inhibitor binds to a site other than the active site, altering the enzyme's function.

Which of the following drugs is commonly used for immunosuppression in organ transplantation?

Aspirin
Cyclosporin A
Paracetamol
Ibuprofen
2

Cyclosporin A is an immunosuppressive drug used to prevent organ transplant rejection.

Which of the following is a characteristic feature of autoimmune diseases?

Overactive immune response against self-cells
Failure of antigen recognition
Complete absence of immune cells
Uncontrolled production of antibodies against all antigens
1

Autoimmune diseases occur when the immune system mistakenly attacks the body’s own cells.

Which of the following statements about nucleic acids is correct?

DNA and RNA are composed of amino acids.
DNA contains deoxyribose, whereas RNA contains ribose.
RNA contains thymine instead of uracil.
DNA is single-stranded in most organisms.
2

DNA contains deoxyribose sugar, while RNA contains ribose. DNA is double-stranded, and RNA has uracil instead of thymine.

What is the primary objective of India's National Population Policy?

To promote early marriages
To control population growth through family planning
To eliminate contraceptive use
To encourage more births
2

The National Population Policy aims to control population growth through awareness and accessibility to family planning measures.

Which of the following is an example of an annelid?

Pheretima
Limulus
Taenia
Asterias
1

Pheretima (earthworm) is a segmented worm belonging to phylum Annelida.

Which hormone is secreted by the adrenal medulla during emergency situations?

Aldosterone
Adrenaline
Glucagon
Cortisol
2

Adrenaline (epinephrine) is secreted by the adrenal medulla in response to stress, increasing heart rate and alertness.

Which of the following statements about the cerebellum is incorrect?

It helps in maintaining posture and balance.
It regulates digestion and metabolism.
It plays a role in fine motor control.
It processes sensory information related to movement.
2

The **cerebellum** is responsible for **coordination, balance, and movement**, but digestion and metabolism are regulated by the hypothalamus and medulla oblongata.

Which species is known as the ‘handy man’ due to its tool-making abilities?

Homo erectus
Neanderthal Man
Homo habilis
Australopithecus
3

Homo habilis, known as the ‘handy man,’ was the first hominid to use stone tools.

Which of the following is a function of the lymphatic system?

Transport of oxygen
Production of hormones
Removal of interstitial fluid and immune function
Digestion of carbohydrates
3

The lymphatic system removes interstitial fluid, transports lymphocytes, and helps in immune defense.

Which part of the respiratory system is responsible for warming and filtering inhaled air?

Alveoli
Trachea
Nasal chamber
Bronchioles
3

The nasal chamber warms, filters, and humidifies inhaled air before it reaches the lungs.

Which of the following animals possesses a water vascular system?

Ascaris
Asterias
Limulus
Octopus
2

Asterias (starfish) has a water vascular system, which is a unique feature of phylum Echinodermata.

Which of the following birth control methods is considered the most effective in preventing sexually transmitted infections (STIs)?

Oral contraceptive pills
Intrauterine devices (IUDs)
Condoms
Sterilization
3

Condoms provide dual protection by preventing both pregnancy and sexually transmitted infections.

Which contraceptive method primarily works by preventing sperm from reaching the ovum?

Barrier methods (e.g., condoms)
Oral contraceptive pills
Intrauterine device (IUD)
Surgical sterilization
1

Barrier methods, such as condoms, physically block sperm from entering the female reproductive tract and reaching the ovum.

Which of the following is incorrect about plasma?

Plasma is a non-viscous fluid.
Plasma constitutes about 55% of blood.
Plasma contains proteins like albumin and fibrinogen.
Plasma helps in the transport of nutrients and waste products.
1

Plasma is a **viscous** fluid due to dissolved proteins and other solutes.

Which structure in the kidney is involved in maintaining blood pressure?

Bowman’s capsule
Loop of Henle
Juxta Glomerular Apparatus (JGA)
Proximal convoluted tubule
3

The JGA releases renin, which helps regulate blood pressure by activating the renin-angiotensin mechanism.

Which tissue covers the surface of the ovary?

Tunica albuginea
Germinal epithelium
Ovarian stroma
Medulla
2

The ovary is covered by the germinal epithelium, which is derived from mesothelium.

Which animal is considered a direct ancestor of modern-day amphibians?

Lobefin Fish
Ichthyosaur
Coelacanth
Tyrannosaurus
1

Lobefin fishes are considered direct ancestors of modern-day amphibians due to their limb-like fins.

Which of the following is incorrect regarding molecular diagnostics?

Molecular diagnostics uses PCR for detecting pathogens.
Molecular diagnostics can detect genetic mutations.
Molecular diagnostics relies only on visual inspection.
Molecular diagnostics is used in disease management.
3

Molecular diagnostics does not rely solely on visual inspection; it uses techniques like PCR and hybridization to detect genetic materials.

Which of the following is an example of a diploblastic animal?

Ascaris
Sycon
Hydra
Earthworm
3

Hydra, a cnidarian, is diploblastic, meaning its body develops from two germ layers: ectoderm and endoderm.

What is the function of surfactant in the alveoli?

Facilitates oxygen transport
Reduces surface tension
Enhances carbon dioxide transport
Stimulates respiratory muscles
2

Surfactant is a lipoprotein that reduces surface tension in the alveoli, preventing their collapse during exhalation.

What is the role of cry genes in Bt crops?

Enhance nitrogen fixation
Provide resistance against insects
Increase seed dormancy
Promote hybridization
2

The cry genes encode for proteins toxic to insect pests, providing resistance.

Which of the following statements about selectable markers is correct?

Selectable markers help distinguish transformed cells from non-transformed cells.
Selectable markers prevent bacterial growth.
Selectable markers are only found in eukaryotic cells.
Selectable markers inhibit DNA replication.
1

Selectable markers, such as antibiotic resistance genes, allow researchers to identify and isolate transformed cells.

Which of the following is correct?

Analogous organs have the same evolutionary origin.
Paleontology studies DNA sequences.
Hardy-Weinberg equilibrium is maintained in the absence of evolutionary forces.
Lamarck’s theory is widely accepted today.
3

Hardy-Weinberg equilibrium remains stable only when no evolutionary forces are acting on a population.

Which characteristic is unique to birds among vertebrates?

Four-chambered heart
Oviparity
Presence of feathers
Endothermy
3

Birds are the only vertebrates that possess feathers, which help in flight and insulation.

Performance Summary

Subject Correct
Answers		 Incorrect
Answers		 Attempted Skipped Accuracy
Physics
Chemistry
Botany
Zoology

Overall Score

Score: / 720

Category Details
Total Attempts: / 180
Total Skipped: / 180
Total Wrong Answers:
Total Correct Answers:
Time Taken:
Average Time Taken per Question:
0
180