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POST UTME BOWEN UNIVERSITY 2024 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 2024 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

A container of volume 0.5 m³ is filled with an ideal gas at a temperature of 300 K. If the gas is heated to a temperature of 400 K, what is the new volume of the gas?

A. 0.625 m³

Correct B. 0.75 m³

C. 0.875 m³

D. 1 m³

Correct Answer: B

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Question 2

A radioactive sample has a half-life of 10 years. If the initial activity is 100 Bq, what is the activity after 20 years?

Correct A. 12.5 Bq

B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: A

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Question 3

A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. What is the total resis\tance of the circuit?

A. 60 Ω

B. 70 Ω

Correct C. 80 Ω

D. 90 Ω

Correct Answer: C

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Question 4

A block of mass 5 kg is attached to a spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position, what is the force exerted by the spring on the block?

A. 20 N

B. 30 N

Correct C. 40 N

D. 50 N

Correct Answer: C

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Question 5

A heat engine operates between a high-temperature reservoir at 500 K and a low-temperature reservoir at 300 K. If the engine has an efficiency of 30%, what is the temperature of the high-temperature reservoir?

A. 400 K

Correct B. 450 K

C. 500 K

D. 550 K

Correct Answer: B

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Question 6

A parallel plate capacitor has a capaci\tance of 2.5 μF. If a potential difference of 10 V is applied across the plates, calculate the charge stored on the capacitor.

A. 25 μC

Correct B. 250 μC

C. 2.5 mC

D. 25 mC

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°, calculate the angle of re\fraction.

Correct A. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: A

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Question 8

A sound wave has a frequency of 200 Hz and a wavelength of 5 m. Calculate the speed of the sound wave.

A. 1000 m/s

Correct B. 2000 m/s

C. 3000 m/s

D. 4000 m/s

Correct Answer: B

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Question 9

A circuit consists of a 12 Ω resistor and a 20 Ω resistor connected in series. If a voltage of 24 V is applied across the circuit, calculate the current flowing through 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 10

A light ray passes through a convex lens of focal length 10 cm. If the object dis\tance is 20 cm, calculate the image dis\tance.

A. 10 cm

B. 20 cm

C. 30 cm

Correct D. 40 cm

Correct Answer: D

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Question 11

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, determine the maximum speed of the block.

A. 0.2 m/s

B. 1.0 m/s

Correct C. 2.0 m/s

D. 5.0 m/s

Correct Answer: C

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Question 12

A projectile is launched from the origin with an initial velocity of 20 m/s at an angle of 60° above the horizontal. Assuming the only force acting on the projectile is gravity, determine the time of flight.

A. 1.0 s

Correct B. 2.0 s

C. 3.0 s

D. 4.0 s

Correct Answer: B

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Question 13

A gas is compressed from an initial volume of 2.0 L to a final volume of 1.0 L at a cons\tant temperature of 300 K. Assuming ideal gas behavior, determine the work done on the gas.

A. -100 J

Correct B. -200 J

C. -300 J

D. -400 J

Correct Answer: B

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Question 14

A 5 kg block is moving at a speed of 10 m/s on a horizontal surface. If the coefficient of kinetic friction between the block and the surface is 0.2, determine the force of friction acting on the block.

A. 10 N

Correct B. 20 N

C. 30 N

D. 40 N

Correct Answer: B

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Question 15

A 10 kg object is moving at a speed of 20 m/s in a circular path with a radius of 5 m. If the object experiences a centripetal acceleration of 2 m/s^2, determine the force acting on the object.

A. 20 N

Correct B. 40 N

C. 60 N

D. 80 N

Correct Answer: B

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Question 16

A 2.5 mH inductor is connected in series with a 10 Ω resistor and a 20 V battery. If the inductor is initially at rest, what is the current in the circuit after 5 ms?

A. 0.2 A

Correct B. 0.4 A

C. 0.6 A

D. 0.8 A

Correct Answer: B

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Question 17

A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 20 V. If a dielectric slab of thickness 0.5 mm and dielectric cons\tant 5 is inserted between the plates, what is the new capaci\tance?

A. 50 μF

B. 60 μF

Correct C. 70 μF

D. 80 μF

Correct Answer: C

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Question 18

A 100 W bulb is connected to a 230 V mains supply. If the bulb is rated for 2500 hours of operation, how many joules of energy will it consume in that time?

A. 5.25 x 10^6 J

B. 5.75 x 10^6 J

Correct C. 6.25 x 10^6 J

D. 6.75 x 10^6 J

Correct Answer: C

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Question 19

A beam of light passes through a prism and is re\fracted at an angle of 30°. If the angle of incidence is 20°, what is the angle of re\fraction?

A. 25°

Correct B. 30°

C. 35°

D. 40°

Correct Answer: B

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Question 20

A 5 kg block 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 its maximum speed?

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 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 $). What is the probability of finding the particle in the region $0 < x < \frac{L}{2}$?

Correct A. $ \frac{1}{2} $

B. $ \frac{1}{4} $

C. $ \frac{1}{8} $

D. $ \frac{1}{16} $

Correct Answer: A

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Question 22

A projectile is launched from the origin with an initial velocity of $v_0$ at an angle $\theta$ above the horizontal. The projectile's range is given by $R = \frac{v_0^2 \sin$ 2\theta $}{g}$. What is the maximum range of the projectile?

A. $ \frac{v_0^2}{g} $

Correct B. $ \frac{2v_0^2}{g} $

C. $ \frac{v_0^2}{2g} $

D. $ \frac{v_0^2}{4g} $

Correct Answer: B

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Question 23

A gas is contained in a cylinder of volume $V$ with a movable piston. The gas is heated, cau\sing its temperature to increase by $Delta T$. What is the change in the gas's internal energy?

Correct A. $ nC_vDelta T $

B. $ nC_pDelta T $

C. (nRDelta T)

D. $ nC_vDelta P $

Correct Answer: A

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Question 24

A radioactive sample decays with a half-life of $T_{1/2}$. What is the activity of the sample after a time $t = 3T_{1/2}$?

Correct A. $ \frac{1}{8}A_0 $

B. $ \frac{1}{4}A_0 $

C. $ \frac{1}{2}A_0 $

D. $ A_0 $

Correct Answer: A

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Question 25

A particle of mass $m$ is moving in a circular orbit with a radius $r$ and a speed $v$. What is the particle's kinetic energy?

Correct A. $ \frac{1}{2}mv^2 $

B. (mvr)

C. $ \frac{1}{2}m\( r^2 + v^2 \ $)

D. $ \frac{1}{2}m\( r^2 - v^2 \ $)

Correct Answer: A

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