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POST UTME REDEEMERS UNIVERSITY 2022 Physics | Objective

Are you preparing for POST UTME REDEEMERS UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2022 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 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 2

A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 12 V. If the plates are separated by a dis\tance of 2 mm, what is the surface charge density on the plates?

A. 1.2 x 10^$ -4 $ C/m^2

B. 2.4 x 10^$ -4 $ C/m^2

Correct C. 3.6 x 10^$ -4 $ C/m^2

D. 4.8 x 10^$ -4 $ C/m^2

Correct Answer: C

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Question 3

A current of 5 A flows through a resistor of 10 Ω for 2 seconds. What is the energy dissipated in the resistor?

A. 50 J

Correct B. 100 J

C. 150 J

D. 200 J

Correct Answer: B

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Question 4

A gas is compressed from an initial volume of 2 L to a final volume of 1 L at a cons\tant temperature of 300 K. What is the work done on the gas?

A. 200 J

B. 400 J

Correct C. 600 J

D. 800 J

Correct Answer: C

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Question 5

A 10 μF capacitor is connected in series with a 20 Ω resistor and a 5 V battery. What is the current flowing through the circuit?

A. 0.25 A

Correct B. 0.5 A

C. 0.75 A

D. 1 A

Correct Answer: B

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Question 6

A thermodynamic system undergoes a process from state A to state B, where the initial temperature is 300 K and the final temperature is 400 K. If the heat capacity at cons\tant volume is 20 J/K and the heat capacity at cons\tant pressure is 30 J/K, calculate the change in internal energy (ΔU) and the change in enthalpy (ΔH) for the process.

Correct A. -1000 J

B. 1000 J

C. -2000 J

D. 2000 J

Correct Answer: A

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Question 7

A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 30 Ω resistor connected in series. If a voltage of 12 V is applied across the circuit, calculate the current flowing through the 20 Ω resistor.

A. 0.4 A

Correct B. 0.6 A

C. 0.8 A

D. 1.0 A

Correct Answer: B

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Question 8

A magnetic field is produced by a current-carrying wire. If the current is 5 A and the length of the wire is 2 m, calculate the magnetic field strength (B) at a dis\tance of 1 m from the wire.

A. 0.1 T

B. 0.2 T

Correct C. 0.3 T

D. 0.4 T

Correct Answer: C

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Question 9

A wave has a frequency of 50 Hz and a wavelength of 2 m. If the wave is traveling through a medium with a speed of 300 m/s, calculate the wave number (k) and the angular frequency (ω).

Correct A. k = 1.57 rad/m, ω = 314 rad/s

B. k = 3.14 rad/m, ω = 628 rad/s

C. k = 1.57 rad/m, ω = 628 rad/s

D. k = 3.14 rad/m, ω = 314 rad/s

Correct Answer: A

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Question 10

A body of mass 10 kg is moving with a velocity of 5 m/s. If the body is subjected to a force of 20 N, calculate the acceleration (a) of the body.

A. 2 m/s^2

Correct B. 4 m/s^2

C. 6 m/s^2

D. 8 m/s^2

Correct Answer: B

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Question 11

A 1000 Hz AC voltage source is connected to a 50 Ω resistor. If the maximum voltage is 100 V, calculate the root mean square (RMS) value of the current flowing through the resistor.

Correct A. 2.83 A

B. 5.66 A

C. 8.49 A

D. 11.32 A

Correct Answer: A

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Question 12

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 10 N, calculate the angular velocity of the particle.

A. 0.53 rad/s

B. 1.06 rad/s

Correct C. 1.59 rad/s

D. 2.12 rad/s

Correct Answer: C

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Question 13

A capacitor of capaci\tance 10 μF is connected in series with a resistor of resis\tance 50 Ω. If the circuit is driven by a 100 Hz AC voltage source of maximum voltage 200 V, calculate the impedance of the circuit.

A. 53.04 Ω

B. 66.67 Ω

Correct C. 80.30 Ω

D. 94.94 Ω

Correct Answer: C

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Question 14

A block of mass 5 kg is placed on a horizontal surface with a coefficient of kinetic friction of 0.2. If the block is pulled with a force of 20 N, calculate the acceleration of the block.

A. 0.40 m/s^2

B. 0.80 m/s^2

Correct C. 1.20 m/s^2

D. 1.60 m/s^2

Correct Answer: C

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Question 15

A parallel plate capacitor consists of two plates 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 100 V, calculate the capaci\tance of the capacitor.

Correct A. 0.01 F

B. 0.02 F

C. 0.03 F

D. 0.04 F

Correct Answer: A

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Question 16

A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. If the particle is subjected to a centripetal force $F_c = \frac{mv^2}{r}$, what is the work done by this force as the particle moves through an angle $\theta$?

A. $0$

Correct B. $W = \frac{1}{2}mv^2$ 1 - \cos\theta $$

C. $W = mv^2\sin\theta$

D. $W = \frac{1}{2}mv^2\sin\theta$

Correct Answer: B

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Question 17

A block of mass $m$ is attached to a horizontal, massless spring with a spring cons\tant $k$. The block is displaced by a dis\tance $x$ from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, what is the kinetic energy of the block at time $t$?

Correct A. $K = \frac{1}{2}momega^2x^2\sin^2(omega t)$

B. $K = \frac{1}{2}momega^2x^2\cos^2(omega t)$

C. $K = \frac{1}{2}momega^2x^2\sin(omega t)$

D. $K = \frac{1}{2}momega^2x^2\cos(omega t)$

Correct Answer: A

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Question 18

A container of volume $V$ is filled with an ideal gas at temperature $T$. The gas is then compressed to a volume $V/2$ while keeping the temperature cons\tant. What is the change in internal energy of the gas?

A. $Delta U = 0$

B. $Delta U = nC_VDelta T$

Correct C. $Delta U = nC_Vlnleft$ \frac{V}{V/2}\right $$

D. $Delta U = nC_Vlnleft$ \frac{V/2}{V}\right $$

Correct Answer: C

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Question 19

A radioactive sample decays at a rate given by the equation $N(t) = N_0e^{-lambda t}$. If the initial number of nuclei is $N_0 = 10^6$ and the decay cons\tant is $lambda = 0.1\text{ s}^{-1}$, what is the number of nuclei remaining after $t = 10\text{ s}$?

A. $N(10) = 10^6e^{-1}$

Correct B. $N(10) = 10^6e^{-0.1}$

C. $N(10) = 10^6e^{-10}$

D. $N(10) = 10^6e^{-0.01}$

Correct Answer: B

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Question 20

A block of mass $m$ is susp\ended from a spring with a spring cons\tant $k$. The block is then displaced by a dis\tance $x$ from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, what is the angular frequency of the block?

Correct A. $omega = \sqrt{\frac{k}{m}}$

B. $omega = \sqrt{\frac{m}{k}}$

C. $omega = \frac{1}{\sqrt{km}}$

D. $omega = \frac{1}{\sqrt{mk}}$

Correct Answer: A

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Question 21

A coil of wire is placed in a magnetic field with a magnetic flux density of 0.5 T. If the coil has 100 turns and a cross-sectional area of 0.01 m^2, what is the induced emf in the coil?

A. 0.25 V

B. 0.5 V

Correct C. 1 V

D. 2 V

Correct Answer: C

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Question 22

A block of wood is floating in a \tank of water. If the block has a volume of 0.05 m^3 and a mass of 0.5 kg, what is the pressure at the bottom of the \tank?

A. 1000 Pa

B. 2000 Pa

Correct C. 3000 Pa

D. 4000 Pa

Correct Answer: C

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Question 23

A simple harmonic motion has a maximum displacement of 0.2 m and a period of 2 s. What is the angular frequency of the motion?

A. 1.57 rad/s

Correct B. 3.14 rad/s

C. 4.71 rad/s

D. 6.28 rad/s

Correct Answer: B

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Question 24

A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 5 Ω resistor connected in series. What is the equivalent resis\tance of the circuit?

A. 35 Ω

B. 40 Ω

C. 45 Ω

Correct D. 50 Ω

Correct Answer: D

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Question 25

A block of metal is heated from 20°C to 80°C. What is the change in entropy of the block?

A. 0.1 J/K

B. 0.2 J/K

Correct C. 0.3 J/K

D. 0.4 J/K

Correct Answer: C

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