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POST UTME BOWEN UNIVERSITY 2021 Physics | Objective

Are you preparing for POST UTME BOWEN UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2021 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

A radioactive sample of Uranium-238 undergoes \alpha decay. If the initial mass of the sample is 100 g, and the mass of the \alpha particle is 4 u, what is the mass of the daughter nucleus after 10 half-lives?

Correct A. 0.001 g

B. 0.01 g

C. 0.1 g

D. 1 g

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 speed of 4 m/s. What is the magnitude of the centripetal acceleration?

A. 0.5 m/s^2

B. 1 m/s^2

Correct C. 2 m/s^2

D. 4 m/s^2

Correct Answer: C

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Question 3

A block of mass 5 kg is attached to a horizontal spring with a spring cons\tant of 200 N/m. If the block is displaced by 2 m from its equilibrium position and released from rest, what is the maximum speed of the block?

A. 1 m/s

B. 2 m/s

C. 4 m/s

Correct D. 8 m/s

Correct Answer: D

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Question 4

A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 5 V. If the dis\tance between the plates is doubled, what is the new capaci\tance?

A. 5 μF

B. 10 μF

Correct C. 20 μF

D. 50 μF

Correct Answer: C

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Question 5

A ray 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°

B. 30°

Correct C. 40°

D. 50°

Correct Answer: C

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Question 6

A particle of mass $m$ is moving in a circular orbit of radius $R$ under the influence of a central force given by $F(r) = -\frac{k}{r^2}$. If the particle's speed is $v$, what is the total energy of the particle?

A. E = \frac{1}{2}mv^2

B. E = -\frac{k}{R}

Correct C. E = \frac{1}{2}mv^2 - \frac{k}{R}

D. E = \frac{k}{R}

Correct Answer: C

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Question 7

A beam of light is incident on a prism at an angle of incidence of $30^\circ$. If the re\fractive index of the prism is $\mu = 1.5$, what is the angle of re\fraction?

Correct A. \theta_r = 20^\circ

B. \theta_r = 30^\circ

C. \theta_r = 40^\circ

D. \theta_r = 50^\circ

Correct Answer: A

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Question 8

A simple harmonic motion has a maximum displacement of $A = 2$ m and a period of $T = 4$ s. What is the angular frequency of the motion?

Correct A. \omega = \frac{\pi}{2} rad/s

B. \omega = \frac{\pi}{4} rad/s

C. \omega = \frac{\pi}{8} rad/s

D. \omega = \frac{\pi}{16} rad/s

Correct Answer: A

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Question 9

A circuit consists of a resistor $R = 10\Omega$, an inductor $L = 5H$, and a capacitor $C = 10^{-6}F$. If the circuit is driven by a voltage source of $V = 20V$, what is the impedance of the circuit?

A. Z = 20\Omega

Correct B. Z = 30\Omega

C. Z = 40\Omega

D. Z = 50\Omega

Correct Answer: B

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Question 10

A projectile is launched from the ground with an initial velocity of $v_0 = 20m/s$ at an angle of $\theta = 45^\circ$ above the horizontal. What is the maximum height reached by the projectile?

A. h_{max} = 10m

Correct B. h_{max} = 20m

C. h_{max} = 30m

D. h_{max} = 40m

Correct Answer: B

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Question 11

A 2.0 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 motion is simple harmonic, calculate the maximum speed of the block as it passes through the equilibrium position.

A. 0.5 m/s

Correct B. 1.0 m/s

C. 1.5 m/s

D. 2.0 m/s

Correct Answer: B

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Question 12

A gas expands from an initial volume of 0.5 m^3 to a final volume of 1.5 m^3 against an external pressure of 2.0 x 10^5 Pa. Assuming the process is isothermal, calculate the work done by the gas.

Correct A. -375 J

B. -3750 J

C. -37500 J

D. -375000 J

Correct Answer: A

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Question 13

A particle of mass 0.5 kg is moving in a circular path with a radius of 0.2 m. The particle has a speed of 2.0 m/s. Calculate the centripetal acceleration of the particle.

A. 2.0 m/s^2

Correct B. 4.0 m/s^2

C. 6.0 m/s^2

D. 8.0 m/s^2

Correct Answer: B

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Question 14

A light source emits light of wavelength 500 nm. The light passes through a double-slit apparatus and forms an interference pattern on a screen 2.0 m away. Calculate the dis\tance between the central maximum and the first minimum.

A. 1.0 mm

Correct B. 2.0 mm

C. 3.0 mm

D. 4.0 mm

Correct Answer: B

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Question 15

A 10.0 V battery is connected to a 2.0 kΩ resistor. Calculate the current flowing through the resistor.

A. 5.0 mA

Correct B. 10.0 mA

C. 15.0 mA

D. 20.0 mA

Correct Answer: B

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Question 16

A particle of mass 2.5 kg is moving in a circular path with a cons\tant speed of 4 m/s. If the radius of the path is 1.8 m, calculate the magnitude of the centripetal acceleration.

A. 10 m/s^2

Correct B. 12 m/s^2

C. 15 m/s^2

D. 18 m/s^2

Correct Answer: B

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Question 17

A 1000 W heater is connected to a 220 V AC supply. If the power factor of the heater is 0.8, calculate the current drawn from the supply.

A. 4.5 A

Correct B. 5.0 A

C. 5.5 A

D. 6.0 A

Correct Answer: B

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Question 18

A block of mass 5 kg is placed on a frictionless surface and a horizontal force of 20 N is applied to it. If the block starts from rest, calculate the velocity of the block after 2 seconds.

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 19

A \tank is filled with water to a height of 5 m. If the density of water is 1000 kg/m^3, calculate the pressure at the bottom of the \tank.

A. 5000 Pa

Correct B. 10000 Pa

C. 15000 Pa

D. 20000 Pa

Correct Answer: B

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Question 20

A spring has a spring cons\tant of 100 N/m. If a force of 50 N is applied to the spring, calculate the displacement of the spring.

A. 0.5 m

Correct B. 1.0 m

C. 1.5 m

D. 2.0 m

Correct Answer: B

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Question 21

A particle of mass $m$ is confined to a one-dimensional box of length $L$. The ground state wave function of the particle is given by $ psi_1\( x \ $ = \sqrt{\frac{2}{L}} \sinleft$ \frac{pi x}{L}\right $). What is the expectation value of the position operator for this state?

Correct A. \frac{L}{2}

B. \frac{L}{4}

C. \frac{3L}{4}

D. \frac{L}{\pi}

Correct Answer: A

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Question 22

A nucleus of mass number $A$ and atomic number $Z$ undergoes \beta decay. What is the resulting nucleus if the parent nucleus is $^{238}_{92}U$?

Correct A. ^{238}_{93}Np

B. ^{238}_{91}Pa

C. ^{238}_{92}U

D. ^{238}_{94}Pu

Correct Answer: A

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Question 23

A particle of mass $m$ is moving in a circular orbit of radius $r$ with a cons\tant speed $v$. What is the magnitude of the centripetal force acting on the particle?

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

B. \frac{mv}{r}

C. \frac{m}{r^2}

D. \frac{r}{mv}

Correct Answer: A

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Question 24

A simple harmonic oscillator has a frequency of $f = 2.0 \, \text{Hz}$ and an amplitude of $A = 0.5 \, \text{m}$. What is the maximum kinetic energy of the oscillator?

Correct A. 0.25 \, \text{J}

B. 0.50 \, \text{J}

C. 0.75 \, \text{J}

D. 1.00 \, \text{J}

Correct Answer: A

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Question 25

A wave of wavelength $\lambda$ and frequency $f$ is traveling through a medium with speed $v$. What is the wave number of the wave?

Correct A. \frac{2 \pi f}{v}

B. \frac{v}{2 \pi f}

C. \frac{f}{v}

D. \frac{v}{f}

Correct Answer: A

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