Practice Post UTME BELLS UNIVERSITY physics 2017 Past Questions

Question 1

A block of mass 20 kg is susp\ended from a spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, calculate the maximum speed of the block as it passes through the equilibrium position.

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 2

A radioactive sample has a half-life of 5 years. If the initial activity of the sample is 1000 Bq, calculate the activity of the sample after 10 years.

A. 125 Bq

B. 250 Bq

Correct C. 500 Bq

D. 1000 Bq

Correct Answer: C

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Question 3

A 10 μF capacitor is connected in series with a 20 Ω resistor and a 50 V battery. Calculate the time cons\tant of the circuit.

A. 0.1 s

Correct B. 0.2 s

C. 0.5 s

D. 1 s

Correct Answer: B

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Question 4

A sound wave with a frequency of 200 Hz and a speed of 343 m/s is traveling through a medium. Calculate the wavelength of the sound wave.

A. 1.7 m

B. 1.8 m

Correct C. 1.9 m

D. 2 m

Correct Answer: C

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Question 5

A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 50 Ω resistor connected in parallel. If a 50 V battery is connected across the circuit, calculate the current through the 10 Ω resistor.

A. 0.5 A

Correct B. 1 A

C. 2 A

D. 5 A

Correct Answer: B

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Question 6

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 angular velocity of the particle?

A. 2 rad/s

Correct B. 4 rad/s

C. 6 rad/s

D. 8 rad/s

Correct Answer: B

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Question 7

A magnetic field of 0.5 T is applied to a coil of 100 turns and a resis\tance of 10 Ω. If the current in the coil is 2 A, what is the induced emf in the coil?

A. 0.1 V

B. 0.2 V

Correct C. 0.5 V

D. 1 V

Correct Answer: C

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Question 8

A projectile is launched at an angle of 30° to the horizontal with an initial velocity of 20 m/s. If the acceleration due to gravity is 9.8 m/s², what is 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 9

A force of 10 N is applied to a body of mass 5 kg. If the body is moving with an initial velocity of 2 m/s, what is the final velocity of the body?

A. 4 m/s

B. 6 m/s

Correct C. 8 m/s

D. 10 m/s

Correct Answer: C

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Question 10

A light ray passes through a prism of angle 30° and is re\fracted at an angle of 20°. What is the angle of deviation of the light ray?

A. 10°

Correct B. 20°

C. 30°

D. 40°

Correct Answer: B

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Question 11

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 work done by this force in moving the particle through an angle $\theta$?

Correct A. $\frac{1}{2}mv^2\left$ 1-\cos\theta\right $$

B. $\frac{1}{2}mv^2\left$ 1+\cos\theta\right $$

C. $mv^2\left$ 1-\cos\theta\right $$

D. $mv^2\left$ 1+\cos\theta\right $$

Correct Answer: A

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Question 12

A block of mass $m$ is attached to a horizontal, massless spring with a spring cons\tant $k$. If the block is displaced by a dis\tance $x$ from its equilibrium position and released from rest, what is the angular frequency of the resulting simple harmonic motion?

Correct A. $\omega = \sqrt{\frac{k}{m}}$

B. $\omega = \sqrt{\frac{m}{k}}$

C. $\omega = \frac{k}{m}$

D. $\omega = \frac{m}{k}$

Correct Answer: A

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Question 13

A projectile is launched from the origin with an initial velocity $v_0$ at an angle $\theta$ above the horizontal. If air resis\tance is neglected, what is the time of flight of the projectile?

Correct A. $\frac{2v_0\sin\theta}{g}$

B. $\frac{2v_0\cos\theta}{g}$

C. $\frac{v_0\sin\theta}{g}$

D. $\frac{v_0\cos\theta}{g}$

Correct Answer: A

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Question 14

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 kinetic energy of the particle?

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

B. $\frac{1}{2}mvr$

C. $mv^2$

D. $mvr$

Correct Answer: A

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Question 15

A block of mass $m$ is attached to a horizontal, massless spring with a spring cons\tant $k$. If the block is displaced by a dis\tance $x$ from its equilibrium position and released from rest, what is the potential energy stored in the spring?

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

B. $\frac{1}{2}mx^2$

C. $kx^2$

D. $mx^2$

Correct Answer: A

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Question 16

A gas is enclosed in a container with a movable piston. The gas is heated at cons\tant pressure. Which of the following statements is true?

A. The volume of the gas increases exponentially with temperature.

Correct B. The volume of the gas increases linearly with temperature.

C. The volume of the gas remains cons\tant with temperature.

D. The volume of the gas decreases exponentially with temperature.

Correct Answer: B

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Question 17

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?

A. 10 m/s^2

B. 12 m/s^2

Correct C. 15 m/s^2

D. 20 m/s^2

Correct Answer: C

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Question 18

A light wave has a frequency of 5 x 10^14 Hz and a wavelength of 6 x 10^-7 m. What is the speed of the light wave?

A. 3 x 10^8 m/s

B. 4 x 10^8 m/s

Correct C. 5 x 10^8 m/s

D. 6 x 10^8 m/s

Correct Answer: C

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Question 19

A thermodynamic system is in equilibrium with its surroundings. The temperature of the system is 300 K. What is the entropy change of the system?

Correct A. 0 J/K

B. 10 J/K

C. 20 J/K

D. 30 J/K

Correct Answer: A

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Question 20

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the current flowing through the circuit?

A. 1 A

B. 2 A

Correct C. 3 A

D. 4 A

Correct Answer: C

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Question 21

A particle of mass 2 kg is projected from the origin with an initial velocity of 20 m/s at an angle of 60° to the horizontal. If the acceleration due to gravity is 9.8 m/s², calculate the time taken for the particle to reach its maximum height.

A. 2.5 s

Correct B. 3.0 s

C. 3.5 s

D. 4.0 s

Correct Answer: B

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Question 22

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in parallel. If the current through the 4 Ω resistor is 2 A, calculate the current through the 6 Ω resistor.

A. 1.5 A

Correct B. 2.0 A

C. 2.5 A

D. 3.0 A

Correct Answer: B

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Question 23

A sound wave with a frequency of 200 Hz has a maximum displacement of 0.5 mm. If the speed of sound in air is 340 m/s, calculate the amplitude of the sound wave.

A. 0.25 mm

Correct B. 0.5 mm

C. 0.75 mm

D. 1.0 mm

Correct Answer: B

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Question 24

A particle of mass 3 kg is moving in a circular path with a radius of 2 m. If the particle has a speed of 4 m/s, calculate the centripetal force acting on the particle.

A. 10 N

B. 20 N

Correct C. 30 N

D. 40 N

Correct Answer: C

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Question 25

A 100 W light bulb is connected to a 220 V power source. If the resis\tance of the light bulb is 20 Ω, calculate the current flowing through the light bulb.

A. 0.5 A

Correct B. 1.0 A

C. 1.5 A

D. 2.0 A

Correct Answer: B

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