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POST UTME UNIPORT 2024 Physics | Objective

Are you preparing for POST UTME UNIPORT 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.

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Question 1

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8 nF, find the charge stored when the potential difference between the plates is 10 V.

Correct A. 0.08 C

B. 0.16 C

C. 0.32 C

D. 0.64 C

Correct Answer: A

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Question 2

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. Find the magnitude of the force acting on the particle.

A. 10 N

B. 20 N

Correct C. 30 N

D. 40 N

Correct Answer: C

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Question 3

A ray of light passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, find the angle of re\fraction.

A. 20°

Correct B. 30°

C. 40°

D. 50°

Correct Answer: B

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Question 4

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, find the current flowing through the circuit.

A. 0.4 A

B. 0.6 A

C. 0.8 A

Correct D. 1.0 A

Correct Answer: D

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Question 5

A wave has a frequency of 50 Hz and a wavelength of 0.1 m. Find the speed of the wave.

A. 5 m/s

B. 10 m/s

C. 20 m/s

Correct D. 50 m/s

Correct Answer: D

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Question 6

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. The capaci\tance is 2.5 nF. If a potential difference of 10 V is applied across the plates, what is the magnitude of the displacement current?

A. 1.25 A

Correct B. 2.5 A

C. 5 A

D. 10 A

Correct Answer: B

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Question 7

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. What is the magnitude of the centripetal acceleration?

A. 1.33 m/s^2

Correct B. 2.67 m/s^2

C. 4 m/s^2

D. 6.67 m/s^2

Correct Answer: B

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Question 8

A heat engine operates between a source at 500 K and a \sink at 300 K. If the engine absorbs 100 J of heat from the source, what is the efficiency of the engine?

A. 0.25

Correct B. 0.33

C. 0.5

D. 0.67

Correct Answer: B

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Question 9

A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 5 Ω resistor connected in series. If a voltage of 12 V is applied across the circuit, what is the current flowing through the 5 Ω resistor?

A. 0.5 A

B. 1 A

Correct C. 2 A

D. 3 A

Correct Answer: C

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Question 10

A block of mass 5 kg is attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position and released, 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 11

A particle of mass $m$ is confined to a one-dimensional box of length $L$. The wave function of the particle is given by (psi(x) = \sqrt{\frac{2}{L}} \sinleft$ \frac{npi x}{L}\right $). What is the expectation value of the position operator for this particle?

Correct A. \frac{L}{2}

B. \frac{L}{4}

C. \frac{3L}{4}

D. \frac{L}{3}

Correct Answer: A

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Question 12

A charged particle of mass $m$ and charge $q$ is moving in a uniform magnetic field of strength $B$. The particle's velocity is perp\endicular to the magnetic field. What is the radius of the circular path that the particle will follow?

Correct A. \frac{mv}{qB}

B. \frac{qB}{mv}

C. \frac{m^2v^2}{qB}

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

Correct Answer: A

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Question 13

A gas of non-interacting particles is in thermal equilibrium with a heat reservoir at temperature $T$. The particles have an energy spectrum given by $ epsilon_n = n^2 hbar omega $. What is the average energy of the particles in the gas?

Correct A. \frac{pi^2}{15} hbar omega $ k_B T $^2

B. \frac{1}{2} k_B T

C. \frac{3}{2} k_B T

D. \frac{5}{2} k_B T

Correct Answer: A

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Question 14

A simple harmonic oscillator has a mass of $m$ and a spring cons\tant of $k$. The oscillator is displaced from its equilibrium position by a dis\tance $x_0$ and released from rest. What is the maximum kinetic energy of the oscillator?

Correct A. \frac{1}{2} m omega^2 x_0^2

B. \frac{1}{2} m omega^2 x_0

C. \frac{1}{2} m omega^2

D. \frac{1}{2} m x_0^2

Correct Answer: A

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Question 15

A magnetic dipole is placed in a uniform magnetic field of strength $B$. The dipole moment of the dipole is $m$. What is the potential energy of the dipole in the magnetic field?

Correct A. -mB

B. mB

C. \frac{mB}{2}

D. -\frac{mB}{2}

Correct Answer: A

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Question 16

A particle of mass 0.5 kg is attached to a spring with a spring cons\tant of 100 N/m. The particle is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the maximum kinetic energy of the particle.

A. 0.5 J

Correct B. 1.0 J

C. 1.5 J

D. 2.0 J

Correct Answer: B

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Question 17

A circuit consists of a 12 V battery, a 4 Ω resistor, and an inductor with an induc\tance of 0.5 H. The circuit is connected to a switch that is initially open. At time t = 0, the switch is closed. Assuming the current in the circuit is initially zero, calculate the current in the circuit at time t = 2 s.

A. 0.6 A

B. 0.8 A

Correct C. 1.0 A

D. 1.2 A

Correct Answer: C

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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. Assuming the air resis\tance is negligible, calculate the maximum height reached by the projectile.

A. 10 m

B. 15 m

Correct C. 20 m

D. 25 m

Correct Answer: C

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Question 19

A gas is contained in a cylinder with a volume of 2 L at a temperature of 300 K. The gas is then heated to a temperature of 400 K while the volume is kept cons\tant. Assuming the gas is ideal, calculate the final pressure of the gas.

A. 2 atm

B. 3 atm

Correct C. 4 atm

D. 5 atm

Correct Answer: C

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Question 20

A block of mass 5 kg is attached to a horizontal spring with a spring cons\tant of 200 N/m. The block is displaced by 0.1 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the angular frequency of the block.

A. 2 rad/s

B. 4 rad/s

Correct C. 6 rad/s

D. 8 rad/s

Correct Answer: C

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Question 21

A projectile is launched from the ground with an initial velocity of 25 m/s at an angle of 45° above the horizontal. Assuming the air resis\tance is negligible, calculate the time of flight of the projectile.

A. 2 s

B. 3 s

Correct C. 4 s

D. 5 s

Correct Answer: C

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Question 22

A gas is contained in a cylinder with a volume of 3 L at a temperature of 200 K. The gas is then compressed to a volume of 1 L while the temperature is kept cons\tant. Assuming the gas is ideal, calculate the final pressure of the gas.

A. 4 atm

B. 6 atm

Correct C. 8 atm

D. 10 atm

Correct Answer: C

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Question 23

A 2.5 m long wire of resis\tance 3.5 Ω is connected in series with a 4.2 V battery. If the wire is stretched to 3.2 m, what is the new resis\tance?

A. 2.1 Ω

Correct B. 2.5 Ω

C. 3.1 Ω

D. 3.5 Ω

Correct Answer: B

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Question 24

A particle of mass 0.5 kg is moving in a circular path of radius 0.8 m with a cons\tant speed of 2.5 m/s. What is the magnitude of the force acting on the particle?

A. 0.5 N

B. 1.0 N

Correct C. 1.5 N

D. 2.0 N

Correct Answer: C

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Question 25

A 100 W light bulb is connected to a 220 V power source. What is the current flowing through the bulb?

A. 0.4 A

Correct B. 0.5 A

C. 0.6 A

D. 0.7 A

Correct Answer: B

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