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POST UTME SKYLINE UNIVERSITY 2024 Physics | Objective

Are you preparing for POST UTME SKYLINE UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2024 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 $m$ is attached to a spring with spring cons\tant $k$. The particle is displaced by a dis\tance $x$ from its equilibrium position and released from rest. Assuming the motion is simple harmonic, find the angular frequency of the particle's motion.

Correct A. \sqrt{k/m}

B. k/m

C. m/k

D. \sqrt{m/k}

Correct Answer: A

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Question 2

A circuit consists of a 12 V battery, a 4 Ω resistor, and an inductor with induc\tance L. The circuit is connected in series. Find the current in the circuit when the switch is closed.

Correct A. \frac{12}{4+L\omega}

B. \frac{12}{4-L\omega}

C. \frac{12}{4+L\omega^2}

D. \frac{12}{4-L\omega^2}

Correct Answer: A

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Question 3

A block of mass m is placed on a frictionless surface and attached to a spring with spring cons\tant k. The block is displaced by a dis\tance x from its equilibrium position and released from rest. Assuming the motion is simple harmonic, find the force exerted on the block by the spring.

Correct A. -kx

B. kx

C. mx

D. -mx

Correct Answer: A

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Question 4

A particle of mass m is moving in a circular path of radius r with a cons\tant speed v. Find the force exerted on the particle by the centripetal force.

Correct A. \frac{mv^2}{r}

B. \frac{mr^2}{v}

C. \frac{v^2}{mr}

D. \frac{r^2}{mv}

Correct Answer: A

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Question 5

A circuit consists of a 12 V battery, a 4 Ω resistor, and a capacitor with capaci\tance C. The circuit is connected in series. Find the current in the circuit when the switch is closed.

Correct A. \frac{12}{4+\frac{1}{C\omega}}

B. \frac{12}{4-\frac{1}{C\omega}}

C. \frac{12}{4+\frac{1}{C\omega^2}}

D. \frac{12}{4-\frac{1}{C\omega^2}}

Correct Answer: A

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Question 6

A 1000 W heater is connected to a 240 V AC supply. If the power factor is 0.8, calculate the current drawn from the supply.

A. 4.17 A

Correct B. 5.12 A

C. 6.25 A

D. 7.69 A

Correct Answer: B

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Question 7

A radioactive sample has a half-life of 5 years. If the initial activity is 100 Bq, calculate the activity after 10 years.

Correct A. 12.5 Bq

B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: A

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Question 8

A s\tanding wave is formed by a string fixed at both \ends. If the wavelength of the wave is 2 m, calculate the length of the string.

A. 1 m

Correct B. 2 m

C. 3 m

D. 4 m

Correct Answer: B

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Question 9

A 2 kg block is attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.5 m from its equilibrium position, calculate the potential energy stored in the spring.

A. 12.5 J

Correct B. 25 J

C. 50 J

D. 100 J

Correct Answer: B

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Question 10

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

A. 0.4 A

B. 0.6 A

Correct C. 0.8 A

D. 1 A

Correct Answer: C

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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 subject to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?

A. 6 m/s^2

B. 8 m/s^2

Correct C. 10 m/s^2

D. 12 m/s^2

Correct Answer: C

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Question 12

A sound wave with a frequency of 200 Hz has a speed of 340 m/s. What is the wavelength of the sound wave?

A. 1.7 m

Correct B. 1.8 m

C. 1.9 m

D. 2.0 m

Correct Answer: B

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Question 13

A block of mass 5 kg is placed on a frictionless surface and a horizontal force of 10 N is applied to it. What is the acceleration of the block?

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 14

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 capaci\tance is 10^-6 F, what is the charge stored on the capacitor when a potential difference of 10 V is applied?

Correct A. 10^-5 C

B. 10^-6 C

C. 10^-7 C

D. 10^-8 C

Correct Answer: A

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Question 15

A particle of mass 1 kg is moving in a circular path of radius 2 m with a cons\tant speed of 3 m/s. If the particle is subject to a centripetal force of 6 N, what is the magnitude of the acceleration of the particle?

A. 3 m/s^2

B. 4 m/s^2

C. 5 m/s^2

Correct D. 6 m/s^2

Correct Answer: D

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Question 16

A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. It is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the angular frequency of the particle's motion.

A. 1 rad/s

B. 2 rad/s

Correct C. 5 rad/s

D. 10 rad/s

Correct Answer: C

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Question 17

A capacitor consists of two parallel plates, each of area 0.01 m^2, separated by a dis\tance of 0.001 m. The capaci\tance of the capacitor is given by C = ε0A/d. Calculate the capaci\tance of the capacitor.

Correct A. 10^-9 F

B. 10^-10 F

C. 10^-11 F

D. 10^-12 F

Correct Answer: A

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Question 18

A circuit consists of a resistor, an inductor, and a capacitor connected in series. The resis\tance of the resistor is 10 Ω, the inductive reac\tance is 20 Ω, and the capacitive reac\tance is 15 Ω. Calculate the impedance of the circuit.

A. 25 Ω

Correct B. 30 Ω

C. 35 Ω

D. 40 Ω

Correct Answer: B

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Question 19

A vector A has a magnitude of 5 units and makes an angle of 30° with the positive x-axis. Calculate the x-component of vector A.

Correct A. 3 units

B. 4 units

C. 5 units

D. 6 units

Correct Answer: A

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Question 20

A body is in equilibrium under the action of two forces, one of magnitude 10 N and the other of magnitude 15 N. Calculate the angle between the two forces.

A. 30°

Correct B. 45°

C. 60°

D. 75°

Correct Answer: B

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