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POST UTME UNILORIN 2022 Physics | Objective

Are you preparing for POST UTME UNILORIN 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 gas is enclosed in a container with a movable piston. The gas is heated at cons\tant pressure. Which of the following statements is true about the change in volume of the gas?

A. The volume of the gas increases exponentially.

Correct B. The volume of the gas increases linearly with temperature.

C. The volume of the gas remains cons\tant.

D. The volume of the gas decreases exponentially.

Correct Answer: B

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Question 2

A radioactive sample emits \alpha particles with a half-life of 5 days. If the initial activity of the sample is 100 Bq, what is the activity of the sample after 10 days?

A. 50 Bq

B. 25 Bq

Correct C. 12.5 Bq

D. 6.25 Bq

Correct Answer: C

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Question 3

A 2.0 m long wire has a resis\tance of 5.0 Ω. If the wire is stretched to a length of 4.0 m, what is its new resis\tance?

A. 2.5 Ω

B. 5.0 Ω

C. 10.0 Ω

Correct D. 20.0 Ω

Correct Answer: D

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Question 4

A particle is projected at an angle of 60° to the horizontal with an initial velocity of 20 m/s. If the acceleration due to gravity is 9.8 m/s², what is the time of flight of the particle?

A. 2.0 s

B. 4.0 s

Correct C. 6.0 s

D. 8.0 s

Correct Answer: C

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Question 5

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the current flowing through the circuit?

A. 1.5 A

B. 2.0 A

Correct C. 2.5 A

D. 3.0 A

Correct Answer: C

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Question 6

A charged particle of mass $m$ and charge $q$ is moving in a uniform magnetic field of strength $B$ with an initial velocity $v_0$ perp\endicular to the magnetic field. If the particle is deflected by an angle $\theta$ from its initial direction, what is the magnitude of the magnetic field $B$?

Correct A. B = \frac{mv_0 \sin \theta}{q}

B. B = \frac{mv_0 \cos \theta}{q}

C. B = \frac{mv_0 \sin \theta}{2q}

D. B = \frac{mv_0 \cos \theta}{2q}

Correct Answer: A

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Question 7

A ray of light passes from air into a glass slab of re\fractive index $\mu$ at an angle of incidence $\theta_i$. If the angle of re\fraction is $\theta_r$, what is the relationship between $\theta_i$ and $\theta_r$?

Correct A. \sin \theta_i = \frac{\sin \theta_r}{\mu}

B. \sin \theta_i = \mu \sin \theta_r

C. \sin \theta_i = \frac{\mu \sin \theta_r}{\mu^2}

D. \sin \theta_i = \frac{\sin \theta_r}{\mu^2}

Correct Answer: A

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Question 8

A sound wave of frequency $f$ and amplitude $A$ is traveling through a medium of density $\rho$ and speed of sound $v_s$. If the wave is reflected from a rigid surface, what is the amplitude of the reflected wave?

Correct A. A_r = A \left$ \frac{v_s - v_i}{v_s + v_i} \right $^2

B. A_r = A \left$ \frac{v_s + v_i}{v_s - v_i} \right $^2

C. A_r = A \left$ \frac{v_s - v_i}{v_s + v_i} \right $

D. A_r = A \left$ \frac{v_s + v_i}{v_s - v_i} \right $

Correct Answer: A

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Question 9

A radioactive sample of half-life $T_{1/2}$ decays to a stable nucleus. If the initial activity is $A_0$ and the decay cons\tant is $\lambda$, what is the activity of the sample after time $t$?

Correct A. A(t) = A_0 e^{-\lambda t}

B. A(t) = A_0 e^{\lambda t}

C. A(t) = A_0 \left$ 1 - \frac{\lambda t}{T_{1/2}} \right $

D. A(t) = A_0 \left$ 1 + \frac{\lambda t}{T_{1/2}} \right $

Correct Answer: A

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Question 10

A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. If the circuit is driven by a voltage source of amplitude $V_0$ and frequency $f$, what is the impedance of the circuit?

Correct A. Z = \sqrt{R^2 + $ X_L - X_C $^2}

B. Z = \sqrt{R^2 + $ X_L + X_C $^2}

C. Z = \sqrt{R^2 - $ X_L - X_C $^2}

D. Z = \sqrt{R^2 - $ X_L + X_C $^2}

Correct Answer: A

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Question 11

A particle of mass $m$ is projected from the origin with an initial velocity $v_0$ at an angle $\theta$ to the horizontal. If the particle experiences a uniform gravitational field of strength $g$, find the time $t$ at which the particle reaches its maximum height.

Correct A. t = \frac{v_0 \sin \theta}{g}

B. t = \frac{v_0 \cos \theta}{g}

C. t = \frac{v_0 \sin \theta}{g^2}

D. t = \frac{v_0 \cos \theta}{g^2}

Correct Answer: A

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Question 12

A wave of frequency $f$ and amplitude $A$ is described by the equation $y = A \sin $ 2 \pi f t $$, where $y$ is the displacement of the wave at time $t$. If the wave is reflected from a fixed \end, find the equation of the reflected wave.

Correct A. y_{\text{reflected}} = A \sin $ 2 \pi f \( t - \frac{L}{2v} \ $)

B. y_{\text{reflected}} = A \sin $ 2 \pi f \( t + \frac{L}{2v} \ $)

C. y_{\text{reflected}} = A \sin $ 2 \pi f \( t - \frac{L}{v} \ $)

D. y_{\text{reflected}} = A \sin $ 2 \pi f \( t + \frac{L}{v} \ $)

Correct Answer: A

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Question 13

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

Correct A. Z = \sqrt{R^2 + $ X_L - X_C $^2}

B. Z = \sqrt{R^2 + $ X_L + X_C $^2}

C. Z = \sqrt{R^2 - $ X_L - X_C $^2}

D. Z = \sqrt{R^2 - $ X_L + X_C $^2}

Correct Answer: A

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Question 14

A sample of radioactive material has a half-life of $T_{1/2}$. If the initial activity is $A_0$, find the activity $A$ after a time $t$.

Correct A. A = A_0 \left$ \frac{1}{2}\right $^{t/T_{1/2}}

B. A = A_0 \left$ \frac{1}{2}\right $^{T_{1/2}/t}

C. A = A_0 \left$ \frac{1}{2}\right $^{t/2T_{1/2}}

D. A = A_0 \left$ \frac{1}{2}\right $^{2T_{1/2}/t}

Correct Answer: A

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Question 15

A heat engine operates between two reservoirs at temperatures $T_1$ and $T_2$. If the engine has an efficiency of $\eta$, find the temperature $T_2$.

Correct A. \eta = 1 - \frac{T_2}{T_1}

B. \eta = 1 - \frac{T_1}{T_2}

C. \eta = \frac{T_2}{T_1}

D. \eta = \frac{T_1}{T_2}

Correct Answer: A

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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 centripetal force of 12 N, what is the angle between the velocity vector and the radius vector at the ins\tant when the particle is at the top of its path?

A. π/2

Correct B. π/3

C. π/4

D. π/6

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 plates are charged to a potential difference of 10 V, what is the capaci\tance of the capacitor?

Correct A. 0.1 F

B. 0.01 F

C. 0.001 F

D. 0.0001 F

Correct Answer: A

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Question 18

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. If air resis\tance is neglected, what is the maximum height reached by the projectile?

A. 10 m

Correct B. 15 m

C. 20 m

D. 25 m

Correct Answer: B

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Question 19

A spring with a spring cons\tant of 100 N/m is stretched by 0.1 m. What is the work done in stretching the spring?

A. 1 J

Correct B. 5 J

C. 10 J

D. 20 J

Correct Answer: B

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Question 20

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

A. 0.5 J

Correct B. 1 J

C. 5 J

D. 10 J

Correct Answer: B

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Question 21

A radioactive sample of Δₗ emits Δₗπ particles with a half-life of 5.27 years. If the initial activity is 1.00 µCi, what is the activity after 10.5 years?

Correct A. 0.125 µCi

B. 0.250 µCi

C. 0.500 µCi

D. 1.00 µCi

Correct Answer: A

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Question 22

A 2.00 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 0.200 m from its equilibrium position and released from rest. What is the speed of the block when it passes through the equilibrium position?

A. 0.400 m/s

B. 0.800 m/s

Correct C. 1.00 m/s

D. 1.20 m/s

Correct Answer: C

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Question 23

A 5.00 µF capacitor is charged to a potential difference of 12.0 V. What is the energy stored in the capacitor?

A. 0.300 J

B. 0.600 J

Correct C. 1.20 J

D. 2.40 J

Correct Answer: C

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Question 24

A 0.500 kg object is attached to a horizontal, massless string and rotated in a circle with a radius of 0.200 m. If the object is rotating at a frequency of 2.00 Hz, what is the tension in the string?

A. 1.00 N

B. 2.00 N

Correct C. 3.00 N

D. 4.00 N

Correct Answer: C

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Question 25

A 0.500 kg block is moving in a straight line with a speed of 2.00 m/s. If the block is brought to rest in 0.200 s, what is the average force applied to the block?

A. 1.00 N

B. 2.00 N

Correct C. 3.00 N

D. 4.00 N

Correct Answer: C

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