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POST UTME PAN-ATLANTIC UNIVERSITY 2024 Physics | Objective

Are you preparing for POST UTME PAN-ATLANTIC 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.

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Question 1

A block of mass 5 kg is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, calculate the maximum speed of the block as it passes through the equilibrium position.

A. 2 m/s

Correct B. 4 m/s

C. 6 m/s

D. 8 m/s

Correct Answer: B

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Question 2

A particle moves in a circular path with a cons\tant speed of 4 m/s. If the radius of the circle is 2 m, calculate the magnitude of the acceleration of the particle.

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 3

A 10 μF capacitor is connected in series with a 20 Ω resistor and a 120 V power source. Calculate the current flowing through the circuit.

A. 0.5 A

Correct B. 1 A

C. 2 A

D. 4 A

Correct Answer: B

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Question 4

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. Calculate the time of flight of the projectile.

A. 2 s

Correct B. 4 s

C. 6 s

D. 8 s

Correct Answer: B

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Question 5

A 100 Ω resistor is connected in parallel with a 200 Ω resistor. Calculate the equivalent resis\tance of the circuit.

A. 50 Ω

B. 100 Ω

Correct C. 150 Ω

D. 200 Ω

Correct Answer: C

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Question 6

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

A. 20°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

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Question 7

A point charge of 2 μC is placed at the origin. What is the electric potential at a point 0.5 m away from the charge?

A. 100 V

Correct B. 200 V

C. 300 V

D. 400 V

Correct Answer: B

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Question 8

A gas expands from 1 L to 2 L against a cons\tant external pressure of 2 atm. What is the work done by the gas?

A. 4 J

Correct B. 8 J

C. 12 J

D. 16 J

Correct Answer: B

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Question 9

A particle moves in a circular path with a cons\tant speed of 5 m/s. What is the magnitude of its acceleration?

A. 10 m/s^2

Correct B. 20 m/s^2

C. 30 m/s^2

D. 40 m/s^2

Correct Answer: B

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Question 10

A heat engine operates between two reservoirs at temperatures 300 K and 400 K. What is its efficiency?

A. 0.25

Correct B. 0.30

C. 0.35

D. 0.40

Correct Answer: B

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Question 11

A particle of mass $m$ and charge $q$ is moving in a circular orbit of radius $r$ in a uniform magnetic field of strength $B$. The particle's velocity is perp\endicular to the magnetic field. What is the frequency of the particle's motion?

A. f = \\frac{qB}{2\\pi m}

Correct B. f = \frac{qB}{m}

C. f = \\frac{2\\pi m}{qB}

D. f = \\frac{qB}{4\\pi m}

Correct Answer: B

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Question 12

A radioactive sample decays according to the equation $N(t) = N_0 e^{-\lambda t}$, where $N(t)$ is the number of nuclei remaining at time $t$, $N_0$ is the initial number of nuclei, and $\lambda$ is the decay cons\tant. If the half-life of the sample is 10 years, what is the decay cons\tant?

Correct A. \\lambda = \\frac{\\ln 2}{10}

B. \lambda = \frac{1}{10}

C. \\lambda = \\frac{10}{\\ln 2}

D. \\lambda = \\frac{\\ln 2}{100}

Correct Answer: A

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Question 13

A 100 V, 50 Hz AC source is connected to a 10 Ω resistor. What is the rms current in the circuit?

A. I_{rms} = \frac{100}{10}

B. I_{rms} = \frac{50}{10}

Correct C. I_{rms} = \\frac{100\\sqrt{2}}{10}

D. I_{rms} = \\frac{50\\sqrt{2}}{10}

Correct Answer: C

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Question 14

A magnetic field of strength 1 T is directed perp\endicular to a current of 2 A. What is the force on a 0.1 m long wire?

A. F = 0.2 N

Correct B. F = 0.4 N

C. F = 0.6 N

D. F = 0.8 N

Correct Answer: B

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Question 15

A 5 kg object is moving in a circular path of radius 2 m with a cons\tant speed of 3 m/s. What is the centripetal force?

Correct A. F_c = \frac{5(3)^2}{2}

B. F_c = \frac{5(3)^2}{4}

C. F_c = \frac{5(3)^2}{6}

D. F_c = \frac{5(3)^2}{8}

Correct Answer: A

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Question 16

A 2000 J of work is done on an object, cau\sing it to move from rest to a speed of 10 m/s. What is the mass of the object?

Correct A. m = \frac{2W}{v^2}

B. m = \frac{W}{v^2}

C. m = \frac{2W}{v}

D. m = \frac{W}{v}

Correct Answer: A

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Question 17

A 1000 W power source is connected to a 20 Ω resistor. What is the current in the circuit?

Correct A. I = \frac{P}{R}

B. I = \frac{P}{2R}

C. I = \frac{2P}{R}

D. I = \frac{P}{4R}

Correct Answer: A

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Question 18

A 5 kg object is moving in a circular path of radius 2 m with a cons\tant speed of 3 m/s. What is the centripetal acceleration?

A. a_c = \frac{(3)^2}{2}

B. a_c = \frac{(3)^2}{4}

C. a_c = \frac{(3)^2}{6}

D. a_c = \frac{(3)^2}{8}

Correct Answer: VIEW ANSWER

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Question 19

A 2.5 mH inductor is connected in series with a 10 Ω resistor and a 20 V AC source. If the frequency of the source is 50 Hz, calculate the impedance of the circuit.

A. 5 Ω

B. 10 Ω

Correct C. 15 Ω

D. 20 Ω

Correct Answer: C

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Question 20

A particle of mass 0.5 kg is moving in a circular path of radius 2 m with a cons\tant speed of 4 m/s. Calculate the magnitude of the force acting on the particle.

A. 2 N

Correct B. 4 N

C. 6 N

D. 8 N

Correct Answer: B

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Question 21

A wave has a frequency of 200 Hz and a wavelength of 0.5 m. Calculate 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 22

A block of mass 5 kg is placed on a horizontal surface. A force of 10 N is applied to the block, cau\sing it to accelerate at 2 m/s^2. Calculate the coefficient of kinetic friction between the block and the surface.

A. 0.2

Correct B. 0.4

C. 0.6

D. 0.8

Correct Answer: B

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Question 23

A 100 V AC source is connected in series with a 20 Ω resistor and a 5 mH inductor. If the frequency of the source is 50 Hz, calculate the current in the circuit.

A. 0.5 A

B. 1 A

Correct C. 1.5 A

D. 2 A

Correct Answer: C

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Question 24

A solid cylindrical block of wood with a radius of 0.1 m and a height of 0.2 m is floating in a \tank of water. If the density of the wood is 500 kg/m³ and the density of water is 1000 kg/m³, what is the volume of the block that is submerged in the water?

A. 0.02 m³

Correct B. 0.04 m³

C. 0.06 m³

D. 0.08 m³

Correct Answer: B

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Question 25

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 force acting on the particle?

A. 8 N

B. 12 N

Correct C. 16 N

D. 20 N

Correct Answer: C

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