NEET Mock Test 16 | ScienceLesson

A material has \( B = 0.3 \, \text{T} \) and \( M = 1.5 \times 10^5 \, \text{A m}^{-1} \). What is \( H \)? (Take \( \mu_0 = 4\pi \times 10^{-7} \, \text{T m A}^{-1} \)).

\( B = \mu_0 (H + M) \), so \( H = \frac{B}{\mu_0} - M \).

Given: \( B = 0.3 \, \text{T} \), \( M = 1.5 \times 10^5 \, \text{A m}^{-1} \), \( \mu_0 = 4\pi \times 10^{-7} \).

\( \frac{B}{\mu_0} = \frac{0.3}{4\pi \times 10^{-7}} \approx 2.387 \times 10^5 \, \text{A m}^{-1} \).

\( H = 2.387 \times 10^5 - 1.5 \times 10^5 = 8.87 \times 10^4 \, \text{A m}^{-1} \approx 8.9 \times 10^4 \).

8.5 × 10⁴ A m⁻¹

8.9 × 10⁴ A m⁻¹

9.2 × 10⁴ A m⁻¹

9.5 × 10⁴ A m⁻¹

2

A \( 3 \, \text{kg} \) block on a \( 60^\circ \) incline (\( \mu_s = 0.6 \)) is pulled upward by a force at \( 30^\circ \) to the incline with minimum force to start motion. What is the force? (Take \( g = 10 \, \text{m/s}^2 \), \( \sin 60^\circ = 0.866 \), \( \cos 60^\circ = 0.5 \), \( \sin 30^\circ = 0.5 \), \( \cos 30^\circ = 0.866 \))

Along incline: \( F \cos 30^\circ - mg \sin 60^\circ - f_s = 0 \).

Normal: \( N = mg \cos 60^\circ + F \sin 30^\circ \).

\( mg \sin 60^\circ = 3 \times 10 \times 0.866 = 25.98 \, \text{N} \), \( mg \cos 60^\circ = 15 \, \text{N} \).

\( N = 15 + F \times 0.5 \), \( f_s = 0.6 (15 + 0.5F) \).

\( F \times 0.866 - 25.98 - 0.6 (15 + 0.5F) = 0 \Rightarrow 0.866F - 25.98 - 9 - 0.3F = 0 \).

\( 0.566F = 34.98 \Rightarrow F \approx 61.8 \, \text{N} \).

50 N

61.8 N

70 N

80 N

2

The velocity \( v \) of a particle depends on time \( t \) and acceleration \( a \) as \( v = k t^a a^b \). Find \( a \) and \( b \).

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

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

Equate: \( b = 1 \), \( a - 2b = -1 \).

\( a - 2(1) = -1 \Rightarrow a = 1 \).

\( a = 1, b = 1 \).

a = 1, b = 1

a = -1, b = 1

a = 1, b = -1

a = 0, b = 1

1

Two waves of frequencies 500 Hz and 504 Hz interfere to produce beats. How many beats are heard in 10 seconds?

Beat frequency: \( v_{\text{beat}} = v_1 - v_2 = 504 - 500 = 4 \, \text{Hz} \).

Beats in 10 s: \( 4 \times 10 = 40 \).

36

40

44

48

2

A coil of self-inductance 1.2 H has its current increased from 2 A to 6 A in 0.4 s. What is the magnitude of the induced emf?

\( \varepsilon = L \frac{\Delta I}{\Delta t} \).

\( \Delta I = 6 - 2 = 4 \, \text{A} \), \( \Delta t = 0.4 \, \text{s} \).

\( \varepsilon = 1.2 \times \frac{4}{0.4} = 1.2 \times 10 = 12 \, \text{V} \).

10 V

12 V

14 V

16 V

2

A ball is thrown upwards with a speed of \( 48 \, \text{m/s} \). How long does it take to return to the ground? (Take \( g = 10 \, \text{m/s}^2 \))

Time to max height: \( v = v_0 + a t \), \( 0 = 48 - 10 t \Rightarrow t = 4.8 \, \text{s} \).

Total time = time up + time down = \( 4.8 \, \text{s} + 4.8 \, \text{s} = 9.6 \, \text{s} \).

The total time is \( 9.6 \, \text{s} \).

8 s

10 s

9 s

9.6 s

4

A \( 2 \, \text{kg} \) block slides down a frictionless incline from \( 9 \, \text{m} \) height. What is its speed at the bottom? (Take \( g = 10 \, \text{m/s}^2 \))

Potential energy \( mgh = 2 \times 10 \times 9 = 180 \, \text{J} \).

Kinetic energy \( \frac{1}{2} m v^2 = 180 \Rightarrow v^2 = 180 \Rightarrow v = \sqrt{180} \approx 13.42 \, \text{m/s} \).

12 m/s

13 m/s

13.4 m/s

14 m/s

3

Light of wavelength \( 450 \, \text{nm} \) is incident on a metal with work function \( 1.9 \, \text{eV} \). What is the maximum kinetic energy in eV? (Take \( h c = 1240 \, \text{eV nm} \))

\( E = \frac{h c}{\lambda} = \frac{1240}{450} \approx 2.756 \, \text{eV} \).

\( K_{\max} = E - \phi_0 = 2.756 - 1.9 \approx 0.856 \, \text{eV} \).

0.7 eV

0.856 eV

0.9 eV

1.0 eV

2

A \( 50 \, \mu\text{F} \) capacitor is connected to a \( 220 \, \text{V} \), \( 50 \, \text{Hz} \) AC source. What is the peak current?

\( X_C = \frac{1}{\omega C} \), \( \omega = 2\pi \times 50 = 314 \, \text{rad/s} \).

\( C = 50 \times 10^{-6} \, \text{F} \).

\( X_C = \frac{1}{314 \times 50 \times 10^{-6}} \approx 63.7 \, \Omega \).

RMS current: \( I = \frac{V}{X_C} = \frac{220}{63.7} \approx 3.45 \, \text{A} \).

Peak current: \( i_m = \sqrt{2} I = 1.414 \times 3.45 \approx 4.88 \, \text{A} \).

4.5 A

4.88 A

5.2 A

5.5 A

2

A body loses \( 3.2 \times 10^{-8} \, \text{C} \) of charge when rubbed. How many electrons were transferred from it?

Losing charge means electrons are removed, so charge is positive.

\( q = n e \), \( e = 1.6 \times 10^{-19} \, \text{C} \).

\( n = \frac{q}{|e|} = \frac{3.2 \times 10^{-8}}{1.6 \times 10^{-19}} = 2 \times 10^{11} \).

\( 2 \times 10^{11} \)

\( 2.5 \times 10^{11} \)

\( 3 \times 10^{11} \)

\( 4 \times 10^{11} \)

1

Why is the backwave not observed in the reflection of light according to the wave model?

The wave model assumes the amplitude of secondary wavelets is zero in the backward direction, though this is an ad-hoc assumption later justified by advanced wave theory.

Amplitude is zero in the backward direction

Light travels only forward

Reflection cancels the backwave

Frequency doubles in reflection

1

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

\( v_e = \sqrt{\frac{2 g R_E^2}{6 R_E}} = \sqrt{\frac{2 \times 9.8 \times 6.4 \times 10^6}{6}} \).

\( v_e = \sqrt{2.09 \times 10^7} \approx 4.57 \times 10^3 \, \text{m/s} \approx 4.6 \, \text{km/s} \).

4.5 km/s

4.6 km/s

4.7 km/s

4.8 km/s

2

Light of wavelength \( 450 \, \text{nm} \) produces a photocurrent that stops at \( 0.9 \, \text{V} \). What is the threshold frequency? (Take \( h c = 1240 \, \text{eV nm} \), \( h = 6.63 \times 10^{-34} \, \text{J s} \))

\( E = \frac{h c}{\lambda} = \frac{1240}{450} \approx 2.76 \, \text{eV} \).

\( K_{\max} = e V_0 = 0.9 \, \text{eV} \).

\( \phi_0 = E - K_{\max} = 2.76 - 0.9 = 1.86 \, \text{eV} \).

\( v_0 = \frac{\phi_0}{h} = \frac{1.86 \times 1.6 \times 10^{-19}}{6.63 \times 10^{-34}} \approx 4.49 \times 10^{14} \, \text{Hz} \).

4.0 × 10¹⁴ Hz

4.2 × 10¹⁴ Hz

4.4 × 10¹⁴ Hz

4.49 × 10¹⁴ Hz

4

A double convex lens of refractive index \( 1.6 \) has radii of curvature \( 25 \, \text{cm} \) and \( -25 \, \text{cm} \). What is its focal length?

Lens maker’s formula: \( \frac{1}{f} = (n - 1) \left( \frac{1}{R_1} - \frac{1}{R_2} \right) \).

\( n = 1.6 \), \( R_1 = 25 \, \text{cm} \), \( R_2 = -25 \, \text{cm} \).

\( \frac{1}{f} = (1.6 - 1) \left( \frac{1}{25} - \frac{1}{-25} \right) = 0.6 \left( \frac{1}{25} + \frac{1}{25} \right) = 0.6 \times \frac{2}{25} = \frac{1.2}{25} \).

\( f = \frac{25}{1.2} \approx 20.83 \, \text{cm} \).

18 cm

20.8 cm

25 cm

30 cm

2

Why does a superconductor exhibit zero resistance below its critical temperature?

Below the critical temperature, electrons in a superconductor form Cooper pairs, which move without scattering off lattice ions, eliminating resistance as there’s no energy loss to collisions.

Electrons stop moving

No collisions with lattice

Voltage becomes infinite

Charge carriers vanish

2

What is the primary function of the shunt resistance in converting a galvanometer to an ammeter?

A shunt resistance is connected in parallel with the galvanometer to allow most of the current to bypass it, reducing the effective resistance and enabling the measurement of larger currents.

Increase sensitivity

Increase resistance

Reduce sensitivity

Bypass excess current

4

In uniform circular motion, what is the relationship between centripetal acceleration (\( a_c \)) and angular speed (\( \omega \))?

The centripetal acceleration in uniform circular motion is given by \( a_c = \omega^2 R \), where \( R \) is the radius. This shows that \( a_c \) is proportional to the square of the angular speed, reflecting the dependence on the rate of change of direction.

\( a_c \propto \omega \)

\( a_c \propto 1/\omega \)

\( a_c \propto \omega^3 \)

\( a_c \propto \omega^2 \)

4

A \( 2 \, \text{kg} \) block falls from \( 5 \, \text{m} \) onto a spring (\( k = 500 \, \text{N/m} \)). What is the maximum compression? (Take \( g = 10 \, \text{m/s}^2 \))

Potential energy \( mgh = 2 \times 10 \times 5 = 100 \, \text{J} \).

Spring energy \( \frac{1}{2} k x_m^2 = 100 \Rightarrow 250 x_m^2 = 100 \Rightarrow x_m = \sqrt{0.4} \approx 0.63 \, \text{m} \).

0.5 m

0.6 m

0.63 m

0.7 m

3

What is the energy equivalent of \( 2 \, \text{kg} \) of matter in Joules? (Given \( c = 3 \times 10^8 \, \text{m/s} \))

\( E = m c^2 \).

\( m = 2 \, \text{kg} \), \( c^2 = 9 \times 10^{16} \, \text{m}^2/\text{s}^2 \).

\( E = 2 \times 9 \times 10^{16} = 1.8 \times 10^{17} \, \text{J} \).

1.6 × 10¹⁷ J

1.7 × 10¹⁷ J

1.8 × 10¹⁷ J

1.9 × 10¹⁷ J

3

In forward bias, the effective barrier height of a p-n junction is:

In forward bias, the applied voltage (\( V \)) opposes the built-in potential (\( V_0 \)), reducing the effective barrier height to \( V_0 - V \), allowing more carriers to cross the junction.

\( V_0 + V \)

\( V_0 - V \)

\( V_0 \)

\( V \)

2

A manometer with water (\( \rho = 1000 \, \text{kg/m}^3 \)) shows a height difference of \( 0.15 \, \text{m} \). What is the pressure difference? (Take \( g = 9.8 \, \text{m/s}^2 \))

\( \Delta P = \rho g h \).

\( \rho = 1000 \, \text{kg/m}^3 \), \( g = 9.8 \, \text{m/s}^2 \), \( h = 0.15 \, \text{m} \).

\( \Delta P = 1000 \times 9.8 \times 0.15 = 1470 \, \text{Pa} \).

1200 Pa

1470 Pa

1600 Pa

1800 Pa

2

A uniform disk of mass \( 3 \, \text{kg} \) and radius \( 0.6 \, \text{m} \) rotates about its center. What is its moment of inertia?

For a uniform disk: \( I = \frac{1}{2} M R^2 \).

\( M = 3 \, \text{kg} \), \( R = 0.6 \, \text{m} \).

\( I = \frac{1}{2} \times 3 \times (0.6)^2 = 1.5 \times 0.36 = 0.54 \, \text{kg m}^2 \).

0.5 kg m²

0.54 kg m²

0.6 kg m²

0.7 kg m²

2

In Rutherford’s scattering experiment, what percentage of alpha-particles scatter by more than 1°?

Given: 0.14% of alpha-particles scatter by more than 1°.

Percentage = 0.14%.

1.4%

0.14%

0.014%

14%

2

Why does a conductor exhibit zero net current in the absence of an electric field?

Without an electric field, electrons move randomly due to thermal energy, with no preferred direction. The average velocity of electrons cancels out, resulting in zero net current.

Electrons stop moving

Random motion cancels net flow

Charge carriers disappear

Resistance becomes infinite

2

A force \( \mathbf{F} = -2 \, \hat{\mathbf{i}} + 3 \, \hat{\mathbf{j}} \, \text{N} \) acts at \( \mathbf{r} = 1 \, \hat{\mathbf{i}} + 2 \, \hat{\mathbf{j}} \, \text{m} \). What is the torque about the origin?

\( \mathbf{\tau} = \mathbf{r} \times \mathbf{F} = \begin{vmatrix} \hat{\mathbf{i}} & \hat{\mathbf{j}} & \hat{\mathbf{k}} \\ 1 & 2 & 0 \\ -2 & 3 & 0 \end{vmatrix} = \hat{\mathbf{k}} (1 \times 3 - 2 \times (-2)) = \hat{\mathbf{k}} (3 + 4) = 7 \, \hat{\mathbf{k}} \, \text{Nm} \).

5 Nm

6 Nm

7 Nm

8 Nm

3

A Ge crystal with \( 4 \times 10^{28} \, \text{atoms} \, \text{m}^{-3} \) is doped with 1.5 ppm of trivalent impurity. The number of holes per cubic meter is approximately:

1.5 ppm = \( 1.5 \times 10^{-6} \). Number of acceptor atoms = \( 1.5 \times 10^{-6} \times 4 \times 10^{28} = 6 \times 10^{22} \, \text{m}^{-3} \), each creating one hole, assuming full ionization.

\( 2 \times 10^{22} \, \text{m}^{-3} \)

\( 4 \times 10^{22} \, \text{m}^{-3} \)

\( 8 \times 10^{22} \, \text{m}^{-3} \)

\( 6 \times 10^{22} \, \text{m}^{-3} \)

4

A solenoid with 500 turns per meter carries a current of \( 4.5 \, \text{A} \). What is the magnetic intensity \( H \) inside?

Magnetic intensity \( H = n I \).

Given: \( n = 500 \, \text{m}^{-1} \), \( I = 4.5 \, \text{A} \).

Substitute: \( H = 500 \times 4.5 = 2250 \, \text{A m}^{-1} \).

2250 A m⁻¹

2300 A m⁻¹

2400 A m⁻¹

2500 A m⁻¹

1

The velocity of light in a medium with permittivity \( \varepsilon \) and permeability \( \mu \) is:

As per Maxwell's equations, the velocity of light in a medium is \( v = \frac{1}{\sqrt{\mu \varepsilon}} \).

\( \frac{1}{\sqrt{\mu_0 \varepsilon_0}} \)

\( \frac{1}{\sqrt{\mu \varepsilon}} \)

\( \sqrt{\mu \varepsilon} \)

\( \sqrt{\mu_0 \varepsilon_0} \)

2

What is the molar specific heat capacity at constant volume for a monatomic gas if \( R = 8.3 \, \text{J mol}^{-1} \text{K}^{-1} \)?

For monatomic gas: \( C_v = \frac{3}{2} R \).

\( C_v = \frac{3}{2} \times 8.3 = 12.45 \, \text{J mol}^{-1} \text{K}^{-1} \).

8.3 J mol⁻¹ K⁻¹

12.45 J mol⁻¹ K⁻¹

16.6 J mol⁻¹ K⁻¹

20.8 J mol⁻¹ K⁻¹

2

A prism of angle \( 60^\circ \) and refractive index \( 1.5 \) produces a minimum deviation of \( 30^\circ \). What is the angle of incidence?

At minimum deviation: \( i = \frac{A + D_m}{2} \).

\( A = 60^\circ \), \( D_m = 30^\circ \).

\( i = \frac{60 + 30}{2} = \frac{90}{2} = 45^\circ \).

30°

45°

60°

75°

2

A gas has a \(C_v\) of \(20.8 \, \text{J mol}^{-1} \text{K}^{-1}\). What is the ratio of specific heats (\(\gamma\))? (\(R = 8.31 \, \text{J mol}^{-1} \text{K}^{-1}\))

\(C_p = C_v + R = 20.8 + 8.31 = 29.11 \, \text{J mol}^{-1} \text{K}^{-1}\).

\(\gamma = \frac{C_p}{C_v} = \frac{29.11}{20.8} \approx 1.40\).

1.25

1.33

1.40

1.67

3

A pendulum of length \( 0.49 \, \text{m} \) oscillates with \( g = 9.8 \, \text{m/s}^2 \). What is its frequency?

Period: \( T = 2\pi \sqrt{\frac{L}{g}} = 2\pi \sqrt{\frac{0.49}{9.8}} = 2\pi \sqrt{0.05} \approx 1.404 \, \text{s} \).

Frequency: \( v = \frac{1}{T} = \frac{1}{1.404} \approx 0.712 \, \text{Hz} \).

0.6 Hz

0.65 Hz

0.712 Hz

0.8 Hz

3

Why does a non-ohmic device, like a diode, exhibit a non-linear current-voltage relationship?

In a diode, resistance depends on the direction and magnitude of the applied voltage due to its semiconductor junction properties. Forward bias reduces resistance, while reverse bias increases it, leading to a non-linear \( I \)-versus-\( V \) curve.

Temperature fluctuates

Resistance varies with voltage

Current is constant

Conductor length changes

2

A car accelerates uniformly from rest at \( 4 \, \text{m/s}^2 \) for \( 5 \, \text{s} \). What is the final velocity?

Use the equation \( v = v_0 + a t \).

Here, initial velocity \( v_0 = 0 \), acceleration \( a = 4 \, \text{m/s}^2 \), time \( t = 5 \, \text{s} \).

Substitute: \( v = 0 + 4 \cdot 5 = 20 \, \text{m/s} \).

The final velocity is \( 20 \, \text{m/s} \).

20 m/s

25 m/s

15 m/s

10 m/s

1

A \( 4.6 \, \text{kg} \) block on a horizontal surface (\( \mu_k = 0.2 \)) is connected to a \( 6.6 \, \text{kg} \) mass over a pulley. A \( 9 \, \text{N} \) force aids the \( 4.6 \, \text{kg} \) block. What is the acceleration? (Take \( g = 10 \, \text{m/s}^2 \))

The \( 6.6 \, \text{kg} \) mass descends, pulling the \( 4.6 \, \text{kg} \) block with an aiding force.

For \( 6.6 \, \text{kg} \): \( 6.6g - T = 6.6a \Rightarrow 66 - T = 6.6a \).

For \( 4.6 \, \text{kg} \): \( T + 9 - f_k = 4.6a \).

Normal: \( N = mg = 4.6 \times 10 = 46 \, \text{N} \).

Friction: \( f_k = 0.2 \times 46 = 9.2 \, \text{N} \).

Net force: \( T + 9 - 9.2 = 4.6a \Rightarrow T - 0.2 = 4.6a \).

Solve: \( 66 - T = 6.6a \), \( T - 0.2 = 4.6a \).

Substitute: \( 66 - (4.6a + 0.2) = 6.6a \Rightarrow 66 - 0.2 - 4.6a = 6.6a \Rightarrow 65.8 = 11.2a \).

\( a = \frac{65.8}{11.2} \approx 5.88 \, \text{m/s}^2 \).

5.5 m/s²

5.9 m/s²

6.2 m/s²

6.5 m/s²

2

A point charge \( Q = 8 \times 10^{-9} \, \text{C} \) is placed at the origin. Calculate the potential at a point 4 m away from the charge. (Take \( \frac{1}{4 \pi \varepsilon_0} = 9 \times 10^9 \, \text{Nm}^2 \text{C}^{-2} \)).

Potential due to a point charge: \( V = \frac{1}{4 \pi \varepsilon_0} \frac{Q}{r} \).

Substitute: \( V = 9 \times 10^9 \times \frac{8 \times 10^{-9}}{4} = 9 \times 10^9 \times 2 \times 10^{-9} = 18 \, \text{V} \).

18 V

15 V

20 V

22 V

1

Check the dimensional consistency of \( a = \frac{F}{m} \), where \( a \) is acceleration, \( F \) is force, and \( m \) is mass.

LHS: \( [a] = [L T^{-2}] \).

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

Consistent.

Inconsistent

Partially consistent

Consistent

Cannot determine

3

A rod of length 0.25 m moves at 3 m/s in a 0.4 T field perpendicular to its length. What is the induced emf?

\( \varepsilon = B l v = 0.4 \times 0.25 \times 3 = 0.3 \, \text{V} \).

0.3 V

0.35 V

0.4 V

0.45 V

1

A parallel plate capacitor with \( C = 20 \, \text{pF} \) in air has a dielectric (\( K = 3 \)) inserted fully between plates. What is the new capacitance?

\( C' = K C = 3 \times 20 = 60 \, \text{pF} \).

40 pF

60 pF

80 pF

100 pF

2

The recombination process in a semiconductor:

Recombination occurs when a free electron collides with a hole, annihilating both and releasing energy, balancing the generation rate at equilibrium.

Generates new electron-hole pairs

Increases minority carriers

Reduces free carriers

Enhances conductivity

3

A gas at \( 1 \, \text{atm} \) and \( 27^\circ \text{C} \) occupies \( 5 \, \text{L} \). What will be its volume at \( 2 \, \text{atm} \) and \( 127^\circ \text{C} \)?

Given: \( P_1 = 1 \, \text{atm} \), \( V_1 = 5 \, \text{L} \), \( T_1 = 27^\circ \text{C} = 300 \, \text{K} \), \( P_2 = 2 \, \text{atm} \), \( T_2 = 127^\circ \text{C} = 400 \, \text{K} \).

Ideal gas law: \( \frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2} \).

\( V_2 = V_1 \times \frac{P_1}{P_2} \times \frac{T_2}{T_1} = 5 \times \frac{1}{2} \times \frac{400}{300} = 5 \times 0.5 \times 1.33 \approx 3.33 \, \text{L} \).

3.0 L

3.33 L

3.5 L

4.0 L

2

A copper cube of edge length 0.1 m is subjected to a hydraulic pressure of 5 × 10⁶ N/m². If the bulk modulus of copper is 1.4 × 10¹¹ N/m², what is the change in volume?

Bulk modulus: B = -p / (ΔV / V).

Volume: V = (0.1)³ = 0.001 m³.

Fractional change: ΔV / V = -p / B = -(5 × 10⁶) / (1.4 × 10¹¹) ≈ -3.57 × 10^-5.

Change in volume: ΔV = (ΔV / V) × V = -3.57 × 10^-5 × 0.001 ≈ -3.57 × 10^-8 m³.

3 × 10^-8 m³

3.57 × 10^-8 m³

4 × 10^-8 m³

5 × 10^-8 m³

2

A square loop of side \( 0.18 \, \text{m} \) with 30 turns carries \( 2 \, \text{A} \) in a magnetic field of \( 0.4 \, \text{T} \). The plane of the loop is at \( 60^\circ \) to the field. What is the torque?

Torque \( \tau = N I A B \sin \theta \), where \( A = 0.18 \times 0.18 = 0.0324 \, \text{m}^2 \).

\( \tau = 30 \times 2 \times 0.0324 \times 0.4 \times \sin 60^\circ = 0.7776 \times 0.866 = 0.6734 \approx 0.67 \, \text{N m} \).

0.34 N m

0.67 N m

1.34 N m

1.01 N m

2

What is the angular width of the central maximum in a single-slit diffraction pattern if the slit width is \( 5.0 \, \mu\text{m} \) and the wavelength is \( 650 \, \text{nm} \)?

Angular width \( 2\theta = \frac{2\lambda}{a} \).

\( \lambda = 6.5 \times 10^{-7} \, \text{m} \), \( a = 5.0 \times 10^{-6} \, \text{m} \).

\( \sin \theta = \frac{\lambda}{a} = \frac{6.5 \times 10^{-7}}{5.0 \times 10^{-6}} = 0.13 \), \( \theta = \sin^{-1}(0.13) \approx 7.5^\circ \), \( 2\theta \approx 15^\circ \).

17.2°

10°

15°

20°

3

Why does an object need a minimum speed to escape Earth’s gravity?

Escape speed (\( v_e = \sqrt{\frac{2 G M}{R}} \)) is the minimum speed where kinetic energy equals the gravitational potential energy’s magnitude, ensuring total energy is zero, allowing escape to infinity.

To overcome air resistance

To balance kinetic and potential energy

To match Earth’s rotational speed

To exceed gravitational constant

2

Which of the following reactions is used to test for primary amines by producing a foul-smelling compound?

The carbylamine reaction (\( \ce{CHCl3} \) + alcoholic \( \ce{KOH} \)) with primary amines produces isocyanides, which have a foul odor, distinguishing them from other amines.

Carbylamine reaction

Hinsberg test

Nitrous acid test

Acylation reaction

1

What is \(\Delta H\) for \(\ce{C6H6(l) + 15/2O2(g) -> 6CO2(g) + 3H2O(l)}\) if \(\Delta_f H^\circ\): C₆H₆(l) = 49 kJ/mol, CO₂(g) = -393.5 kJ/mol, H₂O(l) = -285.8 kJ/mol?

\(\Delta_r H = [6(-393.5) + 3(-285.8)] - [49 + 0] = -2361 - 857.4 - 49 = -3267.4 kJ/mol\).

-3218.4 kJ/mol

-3267.4 kJ/mol

-3316.4 kJ/mol

-2912.4 kJ/mol

2

For the reaction \( \ce{A + B -> 3C} \), the concentration of A decreases from 0.25 M to 0.22 M in 30 seconds. What is the average rate of formation of C in \( \ce{mol L^{-1} s^{-1}} \)?

Rate = \( -\frac{\Delta[\ce{A}]}{\Delta t} = -\frac{\Delta[\ce{B}]}{\Delta t} = \frac{1}{3} \frac{\Delta[\ce{C}]}{\Delta t} \).

\( \Delta[\ce{A}] = 0.22 - 0.25 = -0.03 \, \ce{mol L^{-1}} \), \( \Delta t = 30 \, \ce{s} \).

\( -\frac{\Delta[\ce{A}]}{\Delta t} = 1.0 \times 10^{-3} \), so \( \frac{\Delta[\ce{C}]}{\Delta t} = 3 \times 1.0 \times 10^{-3} = 3.0 \times 10^{-3} \).

\( 3.0 \times 10^{-3} \)

\( 1.0 \times 10^{-3} \)

\( 1.5 \times 10^{-3} \)

\( 6.0 \times 10^{-3} \)

1

Calculate the frequency of radiation with wavelength 600 nm. (\( c = 3.0 \times 10^8 \, \text{m s}^{-1} \))

Frequency \( \nu = \frac{c}{\lambda} = \frac{3.0 \times 10^8}{600 \times 10^{-9}} = 5.0 \times 10^{14} \, \text{s}^{-1} \).

4.0 × 10¹⁴ s^-1

5.0 × 10¹⁴ s^-1

6.0 × 10¹⁴ s^-1

7.5 × 10¹⁴ s^-1

2

Which one of the following is an unsaturated hydrocarbon?

Unsaturated hydrocarbons contain double or triple bonds. Alkynes, like ethyne (\( \ce{C2H2} \)), are examples of unsaturated hydrocarbons.

Propane

Ethyne

Cyclohexane

Pentane

2

The \( K_p \) for \( \ce{H2(g) + CO2(g) <=> H2O(g) + CO(g)} \) is 0.25 at 1000 K. What is \( K_c \) if \( R = 0.0821 \, \text{L·atm·mol}^{-1}\text{·K}^{-1} \)?

\( \Delta n = (1 + 1) - (1 + 1) = 0 \), so \( K_p = K_c (RT)^{\Delta n} = K_c \).

Thus, \( K_c = K_p = 0.25 \).

0.50

0.25

0.003

82.1

1

Which of the following is a characteristic of metalloids?

Metalloids (e.g., Si) exhibit properties intermediate between metals and non-metals, such as semi-conductivity.

High conductivity

High ductility

Intermediate properties

Low electronegativity

3

Which complex produces 1 mole of \( \ce{AgCl} \) per mole when treated with excess \( \ce{AgNO3} \)?

\( \ce{[CoCl2(NH3)4]Cl} \) has one ionizable \( \ce{Cl^-} \) outside the coordination sphere, yielding 1 mole of \( \ce{AgCl} \), while the two inside are non-ionizable.

\( \ce{[CoCl2(NH3)4]Cl} \)

\( \ce{[Co(NH3)6]Cl3} \)

\( \ce{[Co(NH3)5Cl]Cl2} \)

\( \ce{[CoCl3(NH3)3]} \)

1

Which product is formed when ethene reacts with bromine in carbon tetrachloride?

Ethene reacts with bromine to form a vicinal dibromide.

1-Bromoethane

Ethylene dibromide

Bromoform

Vinyl bromide

2

A reaction has \( k = 2.5 \times 10^{-5} \, \ce{s^{-1}} \) at 300 K and \( E_a = 44 \, \ce{kJ mol^{-1}} \). What is the pre-exponential factor \( A \) in \( \ce{s^{-1}} \)? (R = 8.314 J/mol·K)

\( k = A e^{-E_a/RT} \).

\( 2.5 \times 10^{-5} = A e^{-44000/(8.314 \times 300)} \), \( A = 2.5 \times 10^{-5} / e^{-17.64} = 6.2 \times 10^2 \).

\( 3.1 \times 10^2 \)

\( 1.2 \times 10^3 \)

\( 2.5 \times 10^2 \)

\( 6.2 \times 10^2 \)

4

What is the secondary valence of palladium in \( \ce{PdCl2 \cdot 4NH3} \)?

In \( \ce{PdCl2 \cdot 4NH3} \), formulated as \( \ce{[Pd(NH3)4]Cl2} \), the secondary valence is the coordination number, i.e., the number of ligands directly bonded to Pd. Here, 4 \( \ce{NH3} \) ligands give a secondary valence of 4.

4

2

6

3

1

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

\( \ce{CH3CH2CH2CH2CH2CH3} \) (hexane) is a straight chain. \( \ce{CH3CH(CH3)CH2CH2CH3} \) (2-methylpentane) has the same formula (\( \ce{C6H14} \)) but a branched chain.

\( \ce{CH3CH2CH2OH} \)

\( \ce{CH3CH2CH=CH2} \)

\( \ce{CH3CH(CH3)CH2CH2CH3} \)

\( \ce{CH3CH2CH2CH3} \)

3

The conjugate base of \( \ce{HCO3-} \) is:

\( \ce{HCO3- -> CO3^2- + H+} \), so \( \ce{CO3^2-} \) is the conjugate base.

\( \ce{H2CO3} \)

\( \ce{OH-} \)

\( \ce{H3O+} \)

\( \ce{CO3^2-} \)

4

Which compound involves ionic bonding between a group 2 element and a group 16 element?

\( \ce{BaO} \) forms by electron transfer from barium (group 2) to oxygen (group 16), creating \( \ce{Ba^2+} \) and \( \ce{O^2-} \).

\( \ce{H2O} \)

\( \ce{BaO} \)

\( \ce{CH4} \)

\( \ce{NH3} \)

2

Which carbon atom in \( \ce{CH3CH2COOH} \) has \( sp^2 \) hybridization?

The carbon in the -COOH group (carbon 3) forms a double bond with O and single bonds with O and C, indicating \( sp^2 \) hybridization.

Carbon-1

Carbon-3

Carbon-2

Carbon-4

2

A compound contains 40% carbon and 60% oxygen by mass. What is its empirical formula? (Atomic masses: C = 12, O = 16)

Assume 100 g. C = 40 g, O = 60 g.

Moles: C = 40 / 12 = 3.33, O = 60 / 16 = 3.75.

Ratio: 3.33 / 3.33 : 3.75 / 3.33 ≈ 1 : 1.125. Multiply by 4: 4 : 5.

Empirical formula = C₄O₅.

C₄O₅

CO₂

C₂O₃

CO

1

Calculate the boiling point elevation of a solution containing 9 g of urea (\( \ce{NH2CONH2} \)) in 200 g of water. (\( K_b = 0.52 \, \text{K kg/mol}, \text{Molar mass of urea} = 60 \, \text{g/mol} \))

Moles of urea = \( \frac{9}{60} = 0.15 \, \text{mol} \).

Molality = \( \frac{0.15}{0.2} = 0.75 \, \text{mol/kg} \).

\( \Delta T_b = 0.52 \times 0.75 = 0.39 \, \text{K} \).

0.195 K

0.39 K

0.78 K

0.52 K

2

What is the mass number of an ion with 13 protons, 14 neutrons, and a -1 charge?

Mass number (\(A\)) = protons + neutrons = \(13 + 14 = 27\). Charge affects electrons (14), not mass number.

26

27

13

14

2

Which of the following is a Freon compound used as a refrigerant?

Freon-12 (\( \ce{CCl2F2} \)) is widely used in refrigeration systems.

\( \ce{CHCl3} \)

\( \ce{CCl4} \)

\( \ce{CCl2F2} \)

\( \ce{CH2Cl2} \)

3

Which of the following reactions converts benzaldehyde to benzophenone?

Benzaldehyde reacts with a Grignard reagent followed by hydrolysis to form benzophenone.

Rosenmund reduction

Gattermann-Koch reaction

Reaction with Grignard reagent

Cannizzaro reaction

3

Which molecule has a triple covalent bond formed by sharing six electrons between identical atoms?

In \( \ce{N2} \), two nitrogen atoms share three pairs of electrons (6 electrons), forming a triple covalent bond.

\( \ce{N2} \)

\( \ce{O2} \)

\( \ce{F2} \)

\( \ce{Cl2} \)

1

What is \(\Delta H\) for \(\ce{2H2(g) + O2(g) -> 2H2O(l)}\) if \(\Delta_f H^\circ\) of H₂O(l) is -285.8 kJ/mol?

\(\Delta_r H = \sum \Delta_f H^\circ_{\text{products}} - \sum \Delta_f H^\circ_{\text{reactants}} = 2 \times (-285.8) - (0 + 0) = -571.6 kJ/mol\).

-285.8 kJ/mol

-571.6 kJ/mol

571.6 kJ/mol

0 kJ/mol

2

A reaction follows \( \ce{Rate = k[A][B]^2} \) with \( k = 0.1 \, \ce{L^2 mol^{-2} s^{-1}} \), [A] = 0.2 M, and [B] = 0.4 M. What is the rate in \( \ce{mol L^{-1} s^{-1}} \)?

Rate = \( k[\ce{A}][\ce{B}]^2 = 0.1 \times 0.2 \times (0.4)^2 = 0.1 \times 0.2 \times 0.16 = 0.0032 \).

0.0016

0.0032

0.0064

0.0128

2

Which of the following 3d series elements has a cubic close-packed (ccp) lattice structure?

Copper (Cu) has a ccp structure, contributing to its ductility and conductivity.

Fe

Cr

Cu

Mn

3

Which reagent is used to test for the presence of phenol?

Phenols give a violet coloration with neutral FeCl₃, which is a characteristic test for their presence.

Lucas reagent

Tollens' reagent

FeCl₃

Brady’s reagent

3

The bond formed between two amino acids in a protein is:

A peptide bond (\( \ce{-CO-NH-} \)) is an amide linkage formed by the condensation of the carboxyl group of one amino acid and the amino group of another, releasing water.

Glycosidic

Peptide

Hydrogen

Disulfide

2

What is the oxidation state of chromium in the dichromate ion \( \ce{Cr2O7^{2-}} \)?

In \( \ce{Cr2O7^{2-}} \), O = -2 (7 oxygens = -14). Let Cr = x. Then, \( 2x - 14 = -2 \), so \( 2x = 12 \), \( x = +6 \).

+6

+5

+4

+3

1

The oxidation state of cobalt in \( \ce{CoCl2} \) is:

In \( \ce{CoCl2} \), Cl = -1 (2 chlorines = -2). For neutrality, Co = +2.

+2

+3

+1

+4

1

Which of the following groups exerts a -I effect?

The \( \ce{-NO2} \) group is electron-withdrawing due to its electronegativity and resonance, exhibiting a -I effect.

\( \ce{-CH3} \)

\( \ce{-OH} \)

\( \ce{-NH2} \)

\( \ce{-NO2} \)

4

What is the mass percentage of a solution formed by mixing 50 g of a 10% (w/w) solution with 100 g of a 25% (w/w) solution?

Mass of solute from first = \( 0.1 \times 50 = 5 \, \text{g} \).

Mass of solute from second = \( 0.25 \times 100 = 25 \, \text{g} \).

Total solute = 5 + 25 = 30 g.

Total mass = 50 + 100 = 150 g.

Mass % = \( \frac{30}{150} \times 100 = 20\% \).

15%

18%

22%

20%

4

Which of the following hydrocarbons undergoes oxidation to form an acid with the same number of carbon atoms?

Alkylbenzenes, such as toluene, undergo oxidation to form benzoic acid, retaining the same carbon count.

Methane

Ethene

Toluene

Cyclohexane

3

Which reaction is used to prepare benzaldehyde from toluene?

Etard reaction involves the partial oxidation of toluene using chromyl chloride (\(\ce{CrO2Cl2}\)) to form benzaldehyde.

Friedel-Crafts acylation

Etard reaction

Rosenmund reduction

Cannizzaro reaction

2

What is the standard cell potential for a galvanic cell where Sn(s) is oxidized to Sn²⁺(aq) and Cu²⁺(aq) is reduced to Cu(s), given their standard reduction potentials are -0.14 V and 0.34 V respectively?

\( E_{\text{cell}}^0 = E_{\text{cathode}}^0 - E_{\text{anode}}^0 \).

For Sn(s) → Sn²⁺(aq) + 2e⁻ (anode) and Cu²⁺(aq) + 2e⁻ → Cu(s) (cathode):

\( E_{\text{cell}}^0 = 0.34 - (-0.14) = 0.48 \, \text{V} \).

0.48 V

0.20 V

-0.48 V

0.62 V

1

What is the oxidation state of cobalt in \( \ce{[Co(en)2Cl2]Cl} \)?

In \( \ce{[Co(en)2Cl2]+} \), 2 \( \ce{en} \) are neutral, 2 \( \ce{Cl^-} \) contribute -2. The complex charge is +1 (balanced by 1 Cl⁻), so Co’s oxidation state is \( x - 2 = +1 \), \( x = +3 \).

+3

+2

+1

+4

1

What is the oxidation number of oxygen in \( \ce{OF2} \)?

In \( \ce{OF2} \), F is -1 (more electronegative), sum is zero: \( x + 2(-1) = 0 \), \( x - 2 = 0 \), \( x = +2 \).

+2

+1

-1

-2

1

What is the bond angle in the \( \ce{C2H2} \) molecule around the carbon atoms?

\( \ce{C2H2} \) has a triple bond between carbons, each bonded to one hydrogen, with no lone pairs, resulting in a linear shape with a bond angle of 180°.

120°

109.5°

180°

104.5°

3

What is the mass percentage of oxygen in NaNO₃? (Atomic masses: Na = 23, N = 14, O = 16)

Molar mass = 23 + 14 + (3 × 16) = 23 + 14 + 48 = 85 g/mol.

Mass of O = 48 g.

% O = (48 / 85) × 100 ≈ 56.47%.

54%

55%

56.47%

58%

3

For \( \ce{2NO2(g) <=> N2(g) + 2O2(g)} \), \( K_c = 0.25 \) at 600 K. If initial \( [\ce{NO2}] = 0.4 \) M, what is \( [\ce{O2}] \) at equilibrium?

Let \( [\ce{N2}] = x \), \( [\ce{O2}] = 2x \), \( [\ce{NO2}] = 0.4 - 2x \).

\( K_c = \frac{[\ce{N2}][\ce{O2}]^2}{[\ce{NO2}]^2} = \frac{x (2x)^2}{(0.4 - 2x)^2} = 0.25 \).

\( \frac{4x^3}{(0.4 - 2x)^2} = 0.25 \), solve: \( x \approx 0.05 \), \( 2x = 0.1 \) M.

0.2 M

0.1 M

0.05 M

0.4 M

2

What is the EMF of a cell with Fe(s) | Fe²⁺(0.01 M) || H⁺(1 M) | H₂(g, 1 bar) | Pt(s) at 298 K, given \( E_{\text{Fe}^{2+}/\text{Fe}}^0 = -0.44 \, \text{V} \) and \( E_{\text{H}^{+}/\text{H}_2}^0 = 0 \, \text{V} \)?

\( E_{\text{cell}}^0 = 0 - (-0.44) = 0.44 \, \text{V} \), \( n = 2 \).

\( E_{\text{cell}} = E_{\text{cell}}^0 - \frac{0.059}{2} \log \frac{[\text{Fe}^{2+}]}{[\text{H}^{+}]^2} \).

\( Q = \frac{0.01}{1^2} = 0.01 \), \( \log Q = -2 \).

\( E_{\text{cell}} = 0.44 - \frac{0.059}{2} \times (-2) = 0.44 + 0.059 = 0.499 \, \text{V} \approx 0.50 \, \text{V} \).

0.50 V

0.38 V

0.56 V

0.44 V

1

Which compound is obtained when benzophenone is reduced using Zn-Hg/HCl?

Clemmensen reduction of benzophenone using Zn-Hg/HCl reduces the carbonyl group to a methylene (\(\ce{-CH2-}\)) group, forming diphenylmethane.

Benzyl alcohol

Benzoic acid

Diphenylmethane

Benzophenone oxime

3

Hess’s law is a consequence of which thermodynamic principle?

Hess’s law states that enthalpy change is path-independent, a result of enthalpy being a state function.

First law

State function nature of enthalpy

Second law

Conservation of mass

2

Which amine can be synthesized from \( \ce{CH3CH2CH2Br} \) using Gabriel phthalimide synthesis?

Gabriel phthalimide synthesis converts primary alkyl halides like \( \ce{CH3CH2CH2Br} \) to primary amines, yielding \( \ce{CH3CH2CH2NH2} \) (propan-1-amine).

\( \ce{(CH3CH2CH2)2NH} \)

\( \ce{(CH3CH2)2NH} \)

\( \ce{CH3CH2CH2NH2} \)

\( \ce{(CH3CH2CH2)3N} \)

3

Which of the following compounds does not give a positive iodoform test?

The iodoform test is given by compounds containing the CH₃-C=O or CH₃-CHOH groups.

Ethanol

Acetone

2-Propanol

Methanol

4

Which element has the lowest electron gain enthalpy in Group 15?

Bismuth (Bi), at the bottom of Group 15, has the least negative electron gain enthalpy due to its large size reducing electron attraction.

N

P

As

Bi

4

What is the mass percentage of nitrogen in NH₄NO₃? (Atomic masses: N = 14, H = 1, O = 16)

Molar mass = (2 × 14) + (4 × 1) + (3 × 16) = 28 + 4 + 48 = 80 g/mol.

Mass of N = 28 g.

% N = (28 / 80) × 100 = 35%.

35%

30%

40%

45%

1

Which of the following is a correct statement about pleiotropy?

A single gene affects multiple traits.

Multiple genes control a single phenotype.

Pleiotropy follows Mendel’s Law of Independent Assortment.

It occurs only in plants.

1

Pleiotropy occurs when a single gene influences multiple phenotypic traits, such as in sickle-cell anemia.

Which of the following is correct about the cytoplasm?

The cytoplasm is found only in prokaryotic cells.

The cytoplasm is the site for most cellular activities.

The cytoplasm stores genetic information.

The cytoplasm is a solid, rigid structure.

2

The cytoplasm is the site for most cellular activities, including metabolic pathways such as glycolysis.

Which of the following best describes the function of the Human Genome Project (HGP)?

To identify and sequence all human genes

To find a cure for genetic diseases

To increase human intelligence

To modify human genetic material

1

The Human Genome Project aimed to identify all human genes and determine the complete DNA sequence of the human genome.

Which of the following is true about exons?

They are removed during splicing

They do not code for proteins

They are coding regions of genes

They are present only in prokaryotic cells

3

Exons are the coding regions of genes that remain in mRNA after splicing and are translated into proteins.

What is the function of spindle fibers during cell division?

Replicate DNA

Condense chromosomes

Separate chromatids or homologous chromosomes

Form the nuclear membrane

3

Spindle fibers attach to kinetochores and help in the movement and separation of chromatids or homologous chromosomes during cell division.

Which of the following statements about flower symmetry is correct?

Actinomorphic flowers have radial symmetry

Zygomorphic flowers can be divided into multiple symmetrical halves

Sunflower flowers exhibit zygomorphic symmetry

Pea flowers exhibit actinomorphic symmetry

1

Actinomorphic flowers, such as mustard, can be divided into equal halves in multiple planes.

Which of the following statements about Chlorophyceae is incorrect?

Chlorophyceae are grass-green due to chlorophyll a and b.

Their chloroplasts can be discoid, spiral, or ribbon-shaped.

Chlorophyceae store food only as oil droplets.

Asexual reproduction occurs via flagellated zoospores.

3

Chlorophyceae store food as starch in pyrenoids, though some may also store it as oil droplets.

Which of the following statements about root modifications is incorrect?

Tuberous roots store food

Stilt roots provide support in maize

Pneumatophores help in water absorption

Prop roots arise from aerial parts of the stem

3

Pneumatophores help in gaseous exchange, not in water absorption. They are found in mangrove plants.

Which scientist proposed the RNA World Hypothesis?

James Watson

Francis Crick

Carl Woese

Maurice Wilkins

3

Carl Woese proposed the RNA World Hypothesis, which suggests that RNA was the first genetic material.

Which of the following statements about the respiratory quotient (RQ) is correct?

RQ for carbohydrates is greater than 1

RQ for proteins is exactly 1

RQ for fats is less than 1

RQ for all substrates is always the same

3

The RQ for fats is less than 1 because more oxygen is consumed compared to the amount of carbon dioxide produced.

Which of the following conditions promotes the C4 pathway in plants?

Low light intensity

Cool and humid environment

High oxygen concentration

Hot and dry environment

4

The C4 pathway helps plants avoid photorespiration in hot, dry environments.

Which molecule serves as a template for transcription?

mRNA

rRNA

DNA

tRNA

3

DNA serves as a template for the synthesis of RNA during transcription.

Which type of cell division is primarily responsible for increasing the number of cells during growth?

Meiosis

Binary fission

Mitosis

Budding

3

Mitosis is responsible for producing genetically identical cells, increasing cell number during plant growth.

Which tissue in the vascular system is responsible for the transport of water and minerals?

Xylem

Phloem

Parenchyma

Collenchyma

1

Xylem is responsible for transporting water and minerals from roots to other parts of the plant.

What happens to protons (H⁺) during ATP synthesis in photosynthesis?

They are pumped into the stroma

They move from the stroma to the lumen

They pass through ATP synthase into the stroma

They are used to reduce NADP⁺

3

Protons move through ATP synthase from the lumen to the stroma, generating ATP through chemiosmosis.

Which type of transport across the plasma membrane occurs without energy input?

Active transport

Facilitated diffusion

Endocytosis

Exocytosis

2

Facilitated diffusion allows molecules to move across the membrane via transport proteins without using energy, following their concentration gradient.

Which statement regarding pollen tube growth is correct?

Pollen tube growth is guided by a gradient of calcium ions and chemical attractants secreted by synergid cells.

Pollen tube growth occurs randomly within the style.

Pollen tube growth is independent of the pollen grain’s hydration.

Pollen tube growth is inhibited by the presence of chemical attractants.

1

Calcium ions and attractant peptides (like LURE) secreted by synergid cells guide the pollen tube toward the embryo sac.

Which of the following best describes resource partitioning?

Two species completely overlap in resource use

One species outcompetes the other, leading to extinction

Species use different parts of a resource to reduce competition

A predator preying on different species

3

Resource partitioning allows species to coexist by utilizing different parts of a resource, reducing direct competition.

Which layer of the dicot stem is rich in starch grains and is also called the starch sheath?

Endodermis

Pericycle

Epidermis

Cortex

1

In dicot stems, the endodermis is rich in starch grains and is referred to as the starch sheath.

Which of the following statements about transcription factors is correct?

They enhance the activity of DNA polymerase

They help regulate gene expression

They are involved in translation

They only bind to exons

2

Transcription factors regulate gene expression by binding to specific DNA sequences and influencing transcription.

India's share of global species diversity is approximately:

2.4%

8.1%

10.5%

12.7%

2

India constitutes about 8.1% of the global species diversity, making it one of the 12 mega-diverse countries.

What is the primary cause of Down’s syndrome?

Mutation in the hemoglobin gene

Trisomy of chromosome 21

Deletion of chromosome 18

Loss of the Y chromosome

2

Down’s syndrome is caused by trisomy of chromosome 21, leading to developmental and cognitive impairments.

Which of the following occurs during anaphase I but not in mitotic anaphase?

Sister chromatids separate

Homologous chromosomes separate

Nuclear envelope reforms

Spindle fibers disappear

2

During anaphase I, homologous chromosomes separate, whereas in mitotic anaphase, sister chromatids separate.

Which of the following microbes is commonly used for the biological control of soil-borne fungal pathogens?

Bacillus thuringiensis

Trichoderma

Azotobacter

Pseudomonas

2

Trichoderma is a fungus that acts as a biocontrol agent against soil-borne fungal pathogens.

Which part of a monocot seed absorbs nutrients from the endosperm?

Coleoptile

Scutellum

Plumule

Radicle

2

The scutellum is a specialized cotyledon in monocots that absorbs nutrients from the endosperm.

What is the primary function of the mesophyll in a leaf?

Providing structural support

Carrying out photosynthesis

Transporting water

Preventing water loss

2

The mesophyll contains chloroplasts and is the main site for photosynthesis in a leaf.

Which of the following statements about ATP is CORRECT?

ATP is an energy-storing molecule.

ATP is a protein enzyme.

ATP is only produced during glycolysis.

ATP is not involved in active transport.

1

ATP (Adenosine Triphosphate) is the primary energy currency of the cell.

Which of the following statements about embryo sac types in flowering plants is correct?

The Polygonum type is the most common, while the Allium type is less frequent.

The Allium type is the only embryo sac type found in monocots.

The Allium type always contains 12 nuclei.

There is no variation in embryo sac development among angiosperms.

1

The Polygonum type embryo sac is the most common among angiosperms, whereas the Allium type occurs less frequently and shows minor variations.

Which of the following statements about the nuclear envelope is correct?

The nuclear envelope is a single-layered membrane.

The nuclear envelope is permeable to all substances.

The nuclear envelope has pores that regulate material exchange.

The nuclear envelope produces ATP for the cell.

3

The nuclear envelope is a double membrane with pores that regulate the exchange of materials between the nucleus and cytoplasm.

Which of the following is NOT a biodiversity hotspot in India?

Western Ghats

Himalayas

Amazon Rainforest

Indo-Burma

3

The Amazon Rainforest is not in India. India's biodiversity hotspots include the Western Ghats, Himalayas, and Indo-Burma region.

Which of the following is an example of polygenic inheritance?

Hemophilia

Sickle-cell anemia

Human skin color

Cystic fibrosis

3

Human skin color is a polygenic trait influenced by multiple genes, leading to a continuous range of skin tones.

Which of the following is a function of biodiversity?

Regulation of climate

Maintenance of soil fertility

Pollination and seed dispersal

All of the above

4

Biodiversity plays a crucial role in climate regulation, soil fertility, and pollination, contributing to ecosystem stability.

Which of the following correctly describes pleiotropy?

One gene affects multiple traits.

Multiple genes affect a single trait.

One gene determines only one phenotype.

Traits are inherited through mitochondrial DNA.

1

Pleiotropy occurs when a single gene influences multiple phenotypic traits, as seen in sickle-cell anemia.

Which of the following is a characteristic of a species with a Type II survivorship curve?

High survival in early life and rapid decline in old age

Constant mortality rate throughout life

Extremely high juvenile mortality

Low mortality until reproductive age

2

Species with a Type II survivorship curve, such as birds, experience a constant mortality rate at all life stages.

Which of the following statements about the quiescent (G0) phase is correct?

Cells in G0 phase are metabolically inactive

Nerve and heart cells enter G0 permanently

Cells in G0 phase cannot re-enter the cell cycle

G0 phase occurs after mitosis and before cytokinesis

2

Nerve and heart cells remain in G0 permanently, while some other cells may re-enter the cycle under specific conditions.

Which of the following is a correct statement about habitat loss?

Habitat loss is a major cause of species extinction.

Habitat loss has no effect on biodiversity.

Habitat loss only affects aquatic species.

Habitat loss is beneficial for all species.

1

Habitat loss due to deforestation, land conversion, and urbanization is a leading cause of species extinction worldwide.

Which enzyme in C₄ plants releases CO₂ in bundle sheath cells?

PEP carboxylase

RuBisCO

Malic enzyme

ATP synthase

3

Malic enzyme releases CO₂ from malate in bundle sheath cells, providing high CO₂ concentration for RuBisCO.

Which of the following statements regarding the Law of Segregation is correct?

It states that two alleles for a trait separate during gamete formation.

It explains why linked genes are always inherited together.

It applies only to dominant alleles.

It was discovered through dihybrid crosses only.

1

The Law of Segregation states that two alleles segregate independently into gametes during meiosis.

Which phase of the growth curve is characterized by slow growth before the exponential phase?

Lag phase

Log phase

Stationary phase

Decline phase

1

The lag phase is the initial phase with slow growth before the exponential increase in the log phase.

Which of the following is incorrect about phylogenetic classification?

It is based on evolutionary history.

It considers genetic and molecular similarities.

It ignores fossil evidence.

It groups organisms based on common ancestry.

3

Phylogenetic classification considers fossil evidence, genetic information, and common ancestry to classify organisms.

Which of the following statements about lichens is incorrect?

Lichens are a symbiotic association of fungi and algae.

Lichens are highly sensitive to air pollution.

Lichens grow rapidly in heavily polluted areas.

Lichens play a role in soil formation.

3

Lichens do not grow well in polluted areas and are used as bioindicators of air pollution.

Which of the following fruit types is classified as a dry fruit?

Mango

Coconut

Capsule

Berry

3

A capsule is a type of dry fruit that splits open to release seeds.

Which of the following correctly describes the movement of energy in an ecosystem?

It is cyclic

It is unidirectional

It is constant at all trophic levels

It increases with higher trophic levels

2

Energy flow in an ecosystem is unidirectional, moving from producers to consumers and eventually lost as heat.

What type of spores are produced in Basidiomycetes?

Conidia

Basidiospores

Ascospores

Zoospores

2

Basidiomycetes reproduce sexually through basidiospores, which are produced externally on basidium.

Which of the following is incorrect about RNA processing in eukaryotes?

A 5' cap is added to mRNA.

Introns are removed during splicing.

Poly-A tail is added at the 5' end of mRNA.

RNA processing occurs in the nucleus.

3

The **poly-A tail is added to the 3' end** of mRNA, not the 5' end.

Which part of the nephron is responsible for the bulk reabsorption of water and solutes?

Loop of Henle

Distal convoluted tubule

Proximal convoluted tubule

Collecting duct

3

The proximal convoluted tubule (PCT) is responsible for the bulk reabsorption of water, glucose, amino acids, and ions.

Which phenomenon explains the rapid diversification of species from a common ancestor into various ecological niches?

Adaptive Radiation

Punctuated Equilibrium

Genetic Drift

Founder Effect

1

Adaptive radiation refers to the evolution of different species from a common ancestor, each adapting to different environments.

Which process is responsible for the degradation of maternal hormones, leading to menstruation if no fertilization occurs?

Activation of the acrosomal reaction

Cortical reaction in the oocyte

Hormonal withdrawal

Sperm capacitation

3

If fertilization does not occur, the withdrawal of progesterone and estrogen leads to the degeneration of the endometrium and the onset of menstruation.

Which of the following is NOT a characteristic of a cloning vector?

Origin of replication

Selectable marker

Multiple restriction sites

Inability to replicate

4

Cloning vectors must be able to replicate within a host cell to ensure the propagation of the inserted gene.

What is the function of the cloaca in frogs?

Digestion

Excretion and reproduction

Hearing

Gas exchange

2

The cloaca in frogs is a common chamber for excretion, reproduction, and digestive waste removal.

Which of the following statements about cancer cells is incorrect?

Cancer cells lose the ability to undergo controlled cell division.

Cancer cells exhibit metastasis.

Cancer cells always remain confined to their original location.

Cancer can be caused by genetic mutations.

3

Cancer cells can spread to other parts of the body through a process called metastasis.

Which of the following is incorrect?

Darwin’s finches are an example of adaptive radiation.

Panspermia suggests that life came from outer space.

Industrial melanism is unrelated to natural selection.

Mutation introduces new alleles into a population.

3

Industrial melanism is an example of natural selection, not unrelated to it.

Which of the following is a function of nucleotides other than being structural components of nucleic acids?

Energy carriers

Catalysts

Hormones

Structural proteins

1

Some nucleotides, like ATP and GTP, function as energy carriers in cellular metabolism.

Which of the following is used to extract and purify DNA fragments from an agarose gel?

Electroporation

Elution

Hybridization

Transformation

2

Elution is the process of extracting DNA fragments from an agarose gel for further use in recombinant DNA experiments.

What is the function of a multiple cloning site (MCS) in a vector?

To promote transcription

To provide multiple recognition sites for restriction enzymes

To facilitate DNA polymerase binding

To act as a selectable marker

2

A multiple cloning site (MCS) contains recognition sites for several restriction enzymes, making it easier to insert foreign DNA.

Which structure in the skeletal system helps protect the heart and lungs?

Pelvic girdle

Rib cage

Vertebral column

Cranium

2

The rib cage encloses and protects vital organs like the heart and lungs.

What is the primary function of histamine in allergic reactions?

Stimulates red blood cell production

Causes vasodilation and increases permeability of blood vessels

Enhances T-cell production

Acts as a neurotransmitter in the brain

2

Histamine is released from mast cells during allergic reactions, leading to vasodilation and increased vascular permeability.

Which of the following is correct about the Genetic Engineering Approval Committee (GEAC)?

GEAC regulates the use of GMOs in India.

GEAC approves traditional plant breeding methods.

GEAC monitors the use of antibiotics in hospitals.

GEAC is responsible for conducting genetic research.

1

The Genetic Engineering Approval Committee (GEAC) regulates the use, approval, and safety of genetically modified organisms (GMOs) in India.

Which contraceptive method works by suppressing ovulation and altering cervical mucus consistency?

Barrier methods

Oral contraceptive pills

Copper IUDs

Tubectomy

2

Oral contraceptive pills contain hormones that suppress ovulation and alter cervical mucus to prevent fertilization.

Which reproductive organ in female frogs is responsible for producing eggs?

Oviduct

Cloaca

Ovary

Bidder’s canal

3

The ovaries in female frogs produce eggs, which are later released into water for external fertilization.

What type of macromolecule is glycogen?

Protein

Polysaccharide

Nucleic acid

Lipid

2

Glycogen is a polysaccharide that serves as a storage form of glucose in animals.

Which of the following is correct about the hepatic portal system?

It transports oxygenated blood to the liver.

It carries nutrient-rich blood from the intestine to the liver.

It carries deoxygenated blood directly to the kidneys.

It is responsible for pumping blood into the lungs.

2

The **hepatic portal system** carries **nutrient-rich blood** from the intestine to the **liver** for metabolism before entering systemic circulation.

Which phylum includes animals with an open circulatory system?

Annelida

Chordata

Arthropoda

Echinodermata

3

Arthropods have an open circulatory system where the blood directly bathes organs in a hemocoel.

Which of the following is incorrect?

Darwin’s theory is based on natural selection.

Coelacanth is considered a living fossil.

Adaptive radiation is also known as convergent evolution.

Mutation introduces new genetic variations into populations.

3

Adaptive radiation is not convergent evolution; it refers to the diversification of species from a common ancestor.

Which of the following diseases is caused by a protozoan?

Tuberculosis

Diphtheria

Amoebiasis

Ringworm

3

Amoebiasis is caused by the protozoan Entamoeba histolytica, which infects the human intestine.

Which of the following is incorrect about Bt cotton?

Bt cotton is genetically modified to produce Cry proteins.

Bt cotton is resistant to insect pests like bollworms.

Bt cotton improves the nutritional value of cotton seeds.

Bt cotton reduces the need for chemical pesticides.

3

Bacillus thuringiensis (Bt) cotton provides pest resistance but does not improve the nutritional value of cotton seeds.

Why do echinoderms exhibit bilateral symmetry in their larval stage but radial symmetry as adults?

Which of the following statements about muscle contraction is correct?

ATP is not required for muscle contraction.

Myosin heads form cross-bridges with actin filaments.

Calcium ions play no role in muscle contraction.

Actin filaments shorten during contraction.

2

Myosin heads form cross-bridges with actin filaments during muscle contraction.

Which of the following statements about lymph is correct?

Lymph is a fluid that circulates only in blood vessels.

Lymph carries white blood cells and helps in immune responses.

Lymph transports oxygen to body tissues.

Lymph contains red blood cells.

2

Lymph is a fluid that carries white blood cells and helps in immune responses by transporting immune cells and nutrients.

Which of the following statements about cartilaginous fishes is correct?

They have a bony endoskeleton

They have an operculum over the gills

They lack a swim bladder

They use external fertilization

3

Cartilaginous fishes lack a swim bladder, which is present in bony fishes.

Which of the following animals possesses a segmented body but lacks jointed appendages?

Earthworm

Cockroach

Spider

Crab

1

Earthworms belong to phylum Annelida and exhibit true segmentation but do not have jointed appendages like arthropods.

Which evolutionary event is associated with the extinction of dinosaurs?

Permian Extinction

Cretaceous Extinction

Triassic Extinction

Devonian Extinction

2

The Cretaceous Extinction event, about 65 million years ago, led to the extinction of dinosaurs.

Which of the following statements about polysaccharides is correct?

Starch and glycogen serve as energy storage molecules.

Chitin is a storage polysaccharide.

Glycogen is found only in plants.

Cellulose is easily digestible by humans.

1

Starch (plants) and glycogen (animals) are storage polysaccharides. Chitin is structural, and humans cannot digest cellulose.

Which part of the brain is primarily responsible for maintaining homeostasis?

Thalamus

Cerebellum

Hypothalamus

Medulla oblongata

3

The hypothalamus regulates body temperature, hunger, thirst, and various homeostatic processes.

Which of the following is an emergency contraceptive method?

Coitus interruptus

Oral contraceptive pills

Progestogen-estrogen combination pills taken within 72 hours of intercourse

Use of condoms

3

Emergency contraception includes the administration of progestogen-estrogen combination pills within 72 hours of unprotected intercourse.

Which gene in Bt cotton provides resistance to bollworms?

cryIAc

cryIAb

cryIIAb

cryIIIa

1

The cryIAc gene from Bacillus thuringiensis provides resistance to cotton bollworms in Bt cotton.

Which of the following is an example of a saddle joint?

Hip joint

Wrist joint

Thumb joint (carpometacarpal joint)

Elbow joint

3

The carpometacarpal joint of the thumb is an example of a saddle joint.

Which of the following best describes gel electrophoresis?

A technique to separate DNA fragments by size

A method to amplify DNA sequences

A technique to insert genes into cells

A process for synthesizing proteins

1

Gel electrophoresis is used to separate DNA fragments based on size using an electric field.

Which of the following disorders is characterized by multiple ovarian cysts, irregular menstrual cycles, and hyperandrogenism?

Endometriosis

Polycystic Ovary Syndrome (PCOS)

Uterine fibroids

Primary amenorrhea

2

PCOS is marked by the presence of multiple cysts on the ovaries, irregular cycles, and elevated androgen levels.

Which hormone is secreted by the parathyroid gland and increases blood calcium levels?

Calcitonin

Parathyroid Hormone (PTH)

Thyroxine

Insulin

2

PTH increases blood calcium levels by stimulating calcium release from bones and increasing absorption in the intestines.

Which respiratory disorder is caused by exposure to dust particles in industries such as stone grinding?

Asthma

Silicosis

Emphysema

Bronchitis

2

Silicosis is an occupational respiratory disorder caused by long-term exposure to fine dust particles, leading to lung fibrosis.

Which of the following statements about respiratory disorders is correct?

Asthma is caused by bacterial infection.

Silicosis is an occupational disease caused by long-term exposure to silica dust.

Pneumonia is a genetic disorder.

Emphysema is a temporary respiratory disorder.

2

Silicosis is a chronic occupational lung disease caused by prolonged exposure to silica dust.

Which condition occurs due to Rh incompatibility during pregnancy?

Thalassemia

Sickle cell anemia

Erythroblastosis fetalis

Hemophilia

3

Erythroblastosis fetalis occurs when an Rh-negative mother carries an Rh-positive fetus.

Which of the following best describes the role of the corpus callosum?

Connects the brain to the spinal cord

Connects the two cerebral hemispheres

Regulates circadian rhythms

Controls voluntary movements

2

The corpus callosum is a bundle of nerve fibers that connects the left and right cerebral hemispheres.

Which of the following is responsible for maintaining the corpus luteum during early pregnancy?

Luteinizing hormone (LH)

Follicle-stimulating hormone (FSH)

Human chorionic gonadotropin (hCG)

Progesterone

3

hCG, secreted by the trophoblast, maintains the corpus luteum and ensures continued progesterone production during early pregnancy.

Which disorder is caused by the hypersecretion of thyroid hormones?

Goiter

Cretinism

Myxedema

Graves’ disease

4

Graves’ disease is caused by the excessive secretion of thyroid hormones, leading to increased metabolism and weight loss.

Which of the following is an incorrect statement about kidney function?

The kidney helps maintain osmotic balance.

The kidney produces bile for digestion.

The kidney helps regulate blood pressure through renin secretion.

Nephrons filter waste from the blood.

2

The liver, not the kidney, produces bile for digestion.

Which plant tissue culture technique is used for large-scale plant propagation?

Somatic hybridization

Micropropagation

Callus culture

Protoplast fusion

2

Micropropagation is used for large-scale production of genetically identical plants.

Which of the following statements about polysaccharides is correct?

Glycogen is more highly branched than starch.

Cellulose is a storage polysaccharide in animals.

Starch is a polymer of fructose.

Chitin is found only in plants.

1

Glycogen has more branches than starch. Cellulose is structural, starch is a polymer of glucose, and chitin is found in fungi and arthropods.

Which hormone plays a critical role in stimulating the maturation of ovarian follicles during the early menstrual cycle?

Luteinizing hormone (LH)

Follicle-stimulating hormone (FSH)

Progesterone

Estrogen

2

FSH stimulates the growth and maturation of ovarian follicles during the early (follicular) phase of the menstrual cycle.

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NEET Full-Length Mock Test 16

NEET Mock Test - 2026

Test 16

Physics

Chemistry

Botany

Zoology

Performance Summary

Overall Score

Score: / 720