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POST UTME NOUN 2017 Physics | Objective

Are you preparing for POST UTME NOUN exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2017 Physics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

A particle of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. If the particle is subject to a centripetal force of 12 N, what is the magnitude of the force?

A. 10 N

Correct B. 12 N

C. 15 N

D. 20 N

Correct Answer: B

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Question 2

A block of mass 5 kg is placed on a frictionless surface and connected to a horizontal spring with a force cons\tant of 200 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, what is the maximum speed of the block?

A. 2 m/s

B. 4 m/s

Correct C. 6 m/s

D. 8 m/s

Correct Answer: C

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Question 3

A parallel plate capacitor has a capaci\tance of 2 μF and is charged to a potential difference of 10 V. If the plates are then separated by a dis\tance of 0.1 m, what is the new capaci\tance?

A. 1 μF

Correct B. 2 μF

C. 3 μF

D. 4 μF

Correct Answer: B

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Question 4

A photon of wavelength 500 nm is incident on a metal surface. If the work function of the metal is 2 eV, what is the maximum kinetic energy of the emitted electron?

A. 1 eV

Correct B. 2 eV

C. 3 eV

D. 4 eV

Correct Answer: B

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Question 5

A 100 W light bulb is connected to a 220 V power source. If the resis\tance of the bulb is 200 Ω, what is the current flowing through the bulb?

A. 0.5 A

Correct B. 1 A

C. 1.5 A

D. 2 A

Correct Answer: B

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Question 6

A particle of mass $m$ is projected from the origin with an initial velocity $vec{v}_0 = v_0 \cos \theta hat{i} + v_0 \sin \theta hat{j}$, where $\theta$ is the angle of projection. Find the equation of the trajectory of the particle in the $xy$-plane.

Correct A. $ y = x \tan \theta $

B. $ y = -x \tan \theta $

C. $ y = x cot \theta $

D. $ y = -x cot \theta $

Correct Answer: A

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Question 7

A s\tanding wave is formed by two waves of equal amplitude and frequency, traveling in opposite directions. If the wavelength of each wave is $lambda$, find the dis\tance between two consecutive nodes.

A. $ \frac{lambda}{4} $

Correct B. $ \frac{lambda}{2} $

C. $ \frac{3lambda}{4} $

D. $ \frac{lambda}{2} $

Correct Answer: B

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Question 8

A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. If the frequency of the alternating current is $f$, find the impedance of the circuit.

Correct A. $ \sqrt{R^2 + \( X_L - X_C \ $^2} )

B. $ \sqrt{R^2 + \( X_L + X_C \ $^2} )

C. $ \sqrt{R^2 + \( X_L - X_C \ $^2} )

D. $ \sqrt{R^2 + \( X_L + X_C \ $^2} )

Correct Answer: A

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Question 9

A gas is compressed adiabatically from an initial volume $V_1$ to a final volume $V_2$. If the initial pressure is $P_1$ and the final pressure is $P_2$, find the ratio of the final pressure to the initial pressure.

Correct A. $ \frac{P_2}{P_1} = left\( \frac{V_1}{V_2} \right \ $^{\gamma} )

B. $ \frac{P_2}{P_1} = left\( \frac{V_2}{V_1} \right \ $^{\gamma} )

C. $ \frac{P_2}{P_1} = left\( \frac{V_1}{V_2} \right \ $^{-\gamma} )

D. $ \frac{P_2}{P_1} = left\( \frac{V_2}{V_1} \right \ $^{-\gamma} )

Correct Answer: A

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Question 10

A projectile is launched from the origin with an initial velocity $vec{v}_0 = v_0 \cos \theta hat{i} + v_0 \sin \theta hat{j}$, where $\theta$ is the angle of projection. Find the time of flight of the projectile.

Correct A. $ \frac{2v_0 \sin \theta}{g} $

B. $ \frac{v_0 \sin \theta}{g} $

C. $ \frac{2v_0 \cos \theta}{g} $

D. $ \frac{v_0 \cos \theta}{g} $

Correct Answer: A

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Question 11

A particle of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. If the particle is subjected to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?

A. 2 m/s^2

B. 4 m/s^2

Correct C. 6 m/s^2

D. 8 m/s^2

Correct Answer: C

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Question 12

A parallel plate capacitor has a capaci\tance of 5 μF and is charged to a potential difference of 10 V. If the plates are separated by a dis\tance of 2 mm, what is the surface charge density on the plates?

A. 2.5 x 10^$ -6 $ C/m^2

Correct B. 5.0 x 10^$ -6 $ C/m^2

C. 7.5 x 10^$ -6 $ C/m^2

D. 1.0 x 10^$ -5 $ C/m^2

Correct Answer: B

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Question 13

A wave has a frequency of 50 Hz and a wavelength of 2 m. What is the speed of the wave?

A. 100 m/s

Correct B. 200 m/s

C. 300 m/s

D. 400 m/s

Correct Answer: B

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Question 14

A particle of mass 1 kg is moving in a straight line with an initial velocity of 5 m/s. If the particle is subjected to a cons\tant force of 2 N, what is the acceleration of the particle after 2 seconds?

A. 1 m/s^2

Correct B. 2 m/s^2

C. 3 m/s^2

D. 4 m/s^2

Correct Answer: B

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Question 15

A simple harmonic motion has a frequency of 2 Hz and an amplitude of 3 m. What is the maximum acceleration of the particle?

A. 6 m/s^2

B. 12 m/s^2

Correct C. 18 m/s^2

D. 24 m/s^2

Correct Answer: C

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Question 16

A particle of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. If the particle is subjected to a uniform magnetic field of strength 2 T, directed perp\endicular to the plane of the circular path, what is the magnitude of the magnetic force acting on the particle?

A. 8 N

Correct B. 16 N

C. 32 N

D. 64 N

Correct Answer: B

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Question 17

A capacitor consists of two parallel plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. If the capacitor is charged to a potential difference of 10 V, what is the capaci\tance of the capacitor?

Correct A. 1.6 x 10^-10 F

B. 1.6 x 10^-9 F

C. 1.6 x 10^-8 F

D. 1.6 x 10^-7 F

Correct Answer: A

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Question 18

A \sinusoidal voltage of peak value 100 V and frequency 50 Hz is applied across a resistor of resis\tance 10 ohms. What is the rms value of the current flowing through the resistor?

A. 5 A

Correct B. 10 A

C. 20 A

D. 50 A

Correct Answer: B

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Question 19

A sound wave has a frequency of 200 Hz and a wavelength of 0.5 m. What is the speed of the sound wave?

A. 100 m/s

B. 200 m/s

Correct C. 400 m/s

D. 800 m/s

Correct Answer: C

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Question 20

A particle of mass 1 kg is moving in a straight line with an initial velocity of 5 m/s. If the particle is subjected to a force of 10 N, directed in the opposite direction of the initial velocity, what is the acceleration of the particle?

A. 1 m/s^2

B. 2 m/s^2

C. 5 m/s^2

Correct D. 10 m/s^2

Correct Answer: D

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Question 21

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8.0 x 10^-12 F, what is the charge on the plates when the potential difference between them is 100 V?

A. 4.0 x 10^-10 C

Correct B. 8.0 x 10^-10 C

C. 1.6 x 10^-9 C

D. 3.2 x 10^-9 C

Correct Answer: B

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Question 22

A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. If the particle is subject to a centripetal force of 12 N, what is the angle between the force and the radius vector?

A. 30°

B. 45°

Correct C. 60°

D. 75°

Correct Answer: C

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Question 23

A radioactive sample has a half-life of 5 years. If the initial activity is 1000 Bq, what is the activity after 10 years?

A. 250 Bq

Correct B. 500 Bq

C. 750 Bq

D. 1000 Bq

Correct Answer: B

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Question 24

A magnetic field of 0.5 T is applied to a coil of 100 turns and radius 0.1 m. If the current in the coil is 2 A, what is the torque on the coil?

A. 0.1 Nm

Correct B. 0.2 Nm

C. 0.3 Nm

D. 0.4 Nm

Correct Answer: B

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Question 25

A photon of energy 2 eV is incident on a metal surface with work function 1.5 eV. What is the maximum kinetic energy of the emitted electron?

A. 0.5 eV

Correct B. 1.0 eV

C. 1.5 eV

D. 2.0 eV

Correct Answer: B

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