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POST UTME BABCOCK UNIVERSITY 2024 Physics | Objective

Are you preparing for POST UTME BABCOCK 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 solid cylinder of radius 5 cm and height 10 cm is floating in a liquid of density 0.8 g/cm^3. If the density of the cylinder is 2.5 g/cm^3, what is the percentage of the cylinder's volume that is submerged in the liquid?

A. 20%

B. 30%

Correct C. 40%

D. 50%

Correct Answer: C

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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. What is the magnitude of the centripetal acceleration of the particle?

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 wave has a frequency of 50 Hz and a wavelength of 0.2 m. What is the speed of the wave?

A. 10 m/s

B. 20 m/s

Correct C. 30 m/s

D. 40 m/s

Correct Answer: C

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Question 4

A magnetic field of strength 0.5 T is directed perp\endicular to a wire of length 2 m and carrying a current of 2 A. What is the force exerted on the wire?

A. 0.5 N

B. 1 N

Correct C. 2 N

D. 4 N

Correct Answer: C

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Question 5

A heat engine operates between two temperatures of 300 K and 400 K. What is the efficiency of the engine?

A. 20%

B. 30%

Correct C. 40%

D. 50%

Correct Answer: C

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Question 6

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8.0 nF, what is the charge stored when the potential difference between the plates is 12 V?

A. 96 μC

Correct B. 192 μC

C. 288 μC

D. 384 μC

Correct Answer: B

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Question 7

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?

Correct A. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: A

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Question 8

A 2 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. If the block is displaced by 0.1 m from its equilibrium position and released from rest, what is its maximum speed?

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 9

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in parallel. What is the total resis\tance of the circuit?

A. 2 Ω

B. 3 Ω

Correct C. 4 Ω

D. 6 Ω

Correct Answer: C

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Question 10

A radioactive sample decays from 128 mg to 64 mg in 10 minutes. What is the half-life of the sample?

A. 5 minutes

Correct B. 10 minutes

C. 15 minutes

D. 20 minutes

Correct Answer: B

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Question 11

A 2.5 kΩ resistor is connected in series with a 5 V battery and a 10 Ω resistor. If the current through the 10 Ω resistor is 0.5 A, what is the potential difference across the 2.5 kΩ resistor?

Correct A. 1.25 V

B. 2.5 V

C. 5 V

D. 10 V

Correct Answer: A

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Question 12

A body of mass 5 kg is moving with a velocity of 10 m/s. If the body is subjected to a force of 20 N, what is the acceleration of the body?

A. 2 m/s^2

Correct B. 4 m/s^2

C. 5 m/s^2

D. 10 m/s^2

Correct Answer: B

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Question 13

A 100 W bulb is connected to a 220 V power supply. If the bulb is used for 5 hours a day, what is the total energy consumed by the bulb in a month?

A. 120 kWh

B. 150 kWh

Correct C. 180 kWh

D. 200 kWh

Correct Answer: C

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Question 14

A circuit consists of a 10 Ω resistor connected in series with a 20 Ω resistor and a 30 Ω resistor. If a current of 2 A flows through the circuit, what is the potential difference across the 10 Ω resistor?

Correct A. 10 V

B. 20 V

C. 30 V

D. 40 V

Correct Answer: A

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Question 15

A 5 kg body is moving with a velocity of 10 m/s. If the body is subjected to a force of 20 N, what is the work done by the force?

A. 100 J

Correct B. 200 J

C. 300 J

D. 400 J

Correct Answer: B

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Question 16

A block of mass 5 kg is attached to a horizontal 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.

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 17

A sound wave with a frequency of 200 Hz is traveling through a medium with a speed of 340 m/s. If the wavelength of the sound wave is 1.7 m, calculate the amplitude of the wave.

A. 0.1 m

Correct B. 0.2 m

C. 0.3 m

D. 0.4 m

Correct Answer: B

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Question 18

A ray of light 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 19

A particle of mass 2 kg is moving in a circular path with a radius of 1 m. If the particle has a speed of 4 m/s, calculate the centripetal force acting on the particle.

A. 10 N

Correct B. 20 N

C. 30 N

D. 40 N

Correct Answer: B

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Question 20

A beam of light is incident on a mirror at an angle of 45°. If the mirror is a plane mirror, calculate the angle of reflection.

Correct A. 45°

B. 90°

C. 135°

D. 180°

Correct Answer: A

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Question 21

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 $$, where $n$ is a positive integer. What is the expectation value of the position of the particle?

A. 0

Correct B. L/2

C. L

D. nπL/2

Correct Answer: B

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Question 22

A circuit consists of a resistor $R_1 = 10\,\Omega$, an inductor $L = 5\,\text{H}$, and a capacitor $C = 10^{-6}\,\text{F}$. The circuit is driven by a voltage source $V_0 = 10\,\text{V}$ with a frequency $f = 50\,\text{Hz}$. What is the impedance of the circuit?

A. 10\,\Omega

B. 50\,\Omega

Correct C. 100\,\Omega

D. 200\,\Omega

Correct Answer: C

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Question 23

A simple harmonic motion has an amplitude $A = 2\,\text{m}$ and a frequency $f = 5\,\text{Hz}$. What is the angular frequency of the motion?

A. 10\,\text{rad/s}

Correct B. 20\,\text{rad/s}

C. 30\,\text{rad/s}

D. 40\,\text{rad/s}

Correct Answer: B

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Question 24

A wave has a wavelength $\lambda = 5\,\text{m}$ and a frequency $f = 2\,\text{Hz}$. What is the speed of the wave?

A. 10\,\text{m/s}

Correct B. 20\,\text{m/s}

C. 30\,\text{m/s}

D. 40\,\text{m/s}

Correct Answer: B

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Question 25

A Doppler effect experiment involves a source of sound moving at a speed $v_s = 20\,\text{m/s}$ and an observer moving at a speed $v_o = 10\,\text{m/s}$. The frequency of the sound emitted by the source is $f_0 = 100\,\text{Hz}$. What is the frequency heard by the observer?

A. 90\,\text{Hz}

B. 100\,\text{Hz}

Correct C. 110\,\text{Hz}

D. 120\,\text{Hz}

Correct Answer: C

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