POST UTME BELLS UNIVERSITY 2025 Physics | Objective

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Question 1 View Details
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 force?
A. 8 N
Correct B. 12 N
C. 16 N
D. 24 N

Correct Answer: B

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Question 2 View Details
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 3 View Details
A heat engine operates between two temperatures, 300 K and 400 K. If the efficiency of the engine is 30%, what is the work done by the engine per cycle?
A. 100 J
B. 200 J
Correct C. 300 J
D. 400 J

Correct Answer: C

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Question 4 View Details
A particle of mass 1 kg is moving in a straight line with a velocity of 5 m/s. If the particle is subjected to a force of 10 N, what is the acceleration of the particle?
A. 1 m/s^2
B. 2 m/s^2
Correct C. 5 m/s^2
D. 10 m/s^2

Correct Answer: C

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Question 5 View Details
A wave has a frequency of 20 Hz and a wavelength of 0.1 m. What is the speed of the wave?
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 6 View Details
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 magnitude of the acceleration of the particle?
Correct A. \frac{v^2}{r}
B. \frac{mv^2}{r^2}
C. \frac{mv^2}{r}
D. \frac{v^3}{r}

Correct Answer: A

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Question 7 View Details
A gas is heated from $20^\circ\text{C}$ to $100^\circ\text{C}$. If the initial volume is $2\,\text{m}^3$ and the final volume is $4\,\text{m}^3$, what is the change in the number of moles of the gas?
Correct A. \frac{1}{2}
B. \frac{1}{3}
C. \frac{1}{4}
D. \frac{1}{5}

Correct Answer: A

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Question 8 View Details
A simple harmonic motion is described by the equation $x(t) = A\cos\( \omega t + \phi \)$, where $A$ is the amplitude, $\omega$ is the angular frequency, and $\phi$ is the phase angle. If the initial displacement is $x(0) = 2\,\text{m}$ and the initial velocity is $v(0) = 0$, what is the phase angle $\phi$?
Correct A. \frac{\pi}{2}
B. \frac{\pi}{3}
C. \frac{\pi}{4}
D. \frac{\pi}{6}

Correct Answer: A

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Question 9 View Details
A quantum particle is described by the wave function $\psi(x) = Ae^{ikx}$, where $A$ is a cons\tant and $k$ is the wave number. If the particle is in a one-dimensional box of length $L$, what is the allowed value of $k$?
Correct A. \frac{n\pi}{L}
B. \frac{(n+1)\pi}{L}
C. \frac{n\pi}{2L}
D. \frac{(n+1)\pi}{2L}

Correct Answer: A

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Question 10 View Details
A circuit consists of a resistor $R$ and an inductor $L$ connected in series. If the voltage source is $V(t) = V_0\cos\( \omega t \)$, what is the current $I(t)$ in the circuit?
Correct A. I_0\cos\( \omega t - \phi \)
B. I_0\cos\( \omega t + \phi \)
C. I_0\sin\( \omega t - \phi \)
D. I_0\sin\( \omega t + \phi \)

Correct Answer: A

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Question 11 View Details
A 2 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 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 12 View Details
A sound wave with a frequency of 200 Hz and a wavelength of 0.5 m is traveling through a medium. If the speed of the wave is 340 m/s, calculate the amplitude of the wave.
A. 0.01 m
Correct B. 0.02 m
C. 0.03 m
D. 0.04 m

Correct Answer: B

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Question 13 View Details
A particle of mass 0.5 kg is moving in a circular path with a radius of 0.2 m. If the particle has a speed of 4 m/s, calculate the centripetal 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 14 View Details
A 100 W light bulb is connected to a 220 V power source. Calculate 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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Question 15 View Details
A car is traveling at a speed of 20 m/s. If the driver applies the brakes and the car comes to a stop in 4 s, calculate the acceleration of the car.
A. -2 m/s^2
B. -4 m/s^2
C. -6 m/s^2
Correct D. -8 m/s^2

Correct Answer: D

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Question 16 View Details
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 force?
A. 10 N
Correct B. 12 N
C. 15 N
D. 20 N

Correct Answer: B

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Question 17 View Details
A capacitor of capaci\tance 10 μF is connected in series with a resistor of resis\tance 20 Ω. If a voltage of 50 V is applied across the circuit, what is the current flowing through the circuit?
Correct A. 0.25 A
B. 0.5 A
C. 1 A
D. 2 A

Correct Answer: A

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Question 18 View Details
A radioactive sample decays at a rate of 10% per hour. If the initial amount of the sample is 100 g, what is the amount of the sample left after 2 hours?
A. 50 g
B. 60 g
Correct C. 70 g
D. 80 g

Correct Answer: C

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Question 19 View Details
A heat engine operates between two temperatures of 500 K and 300 K. If the engine absorbs 100 J of heat from the high-temperature reservoir, what is the efficiency of the engine?
A. 0.2
Correct B. 0.3
C. 0.4
D. 0.5

Correct Answer: B

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Question 20 View Details
A parallel-plate capacitor has a capaci\tance of 20 μF. If a voltage of 50 V is applied across the capacitor, what is the energy stored in the capacitor?
A. 250 J
Correct B. 500 J
C. 750 J
D. 1000 J

Correct Answer: B

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Question 21 View Details
A radioactive sample of Δₗ emits Δₗπ particles with a half-life of 5.27 years. If the initial activity is 100 Bq, calculate the activity after 10.54 years.
A. 50 Bq
B. 25 Bq
Correct C. 12.5 Bq
D. 6.25 Bq

Correct Answer: C

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Question 22 View Details
A 2 kg block of copper is heated from 20°C to 80°C. If the specific heat capacity of copper is 0.385 J/g°C, calculate the energy required.
A. 1000 J
B. 2000 J
Correct C. 3000 J
D. 4000 J

Correct Answer: C

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Question 23 View Details
A light ray passes from air into a glass block with a re\fractive index of 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.
A. 20°
Correct B. 25°
C. 30°
D. 35°

Correct Answer: B

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Question 24 View Details
A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the angular velocity is 2 rad/s, calculate the centripetal force.
A. 10 N
B. 20 N
Correct C. 30 N
D. 40 N

Correct Answer: C

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Question 25 View Details
A light source is placed 2 m away from a convex lens with a focal length of 0.5 m. If the object dis\tance is 1.5 m, calculate the image dis\tance.
A. 1 m
Correct B. 2 m
C. 3 m
D. 4 m

Correct Answer: B

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