Practice Post UTME UI physics 2018 Past Questions

Question 1

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

Correct B. 12 m/s^2

C. 15 m/s^2

D. 20 m/s^2

Correct Answer: B

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Question 2

A light ray 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°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

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Question 3

A charged particle of mass 1 kg and charge 2 C is moving in a magnetic field of strength 0.5 T. If the particle is moving with a speed of 3 m/s, what is the magnitude of the force acting on it?

A. 0.5 N

B. 1 N

Correct C. 1.5 N

D. 2 N

Correct Answer: C

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Question 4

A radioactive sample has a half-life of 2 years. If the initial activity is 100 Bq, what is the activity after 4 years?

A. 25 Bq

Correct B. 50 Bq

C. 75 Bq

D. 100 Bq

Correct Answer: B

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Question 5

A body of mass 5 kg is moving with a speed of 2 m/s. If the body is subjected to a force of 10 N, what is the change in its kinetic energy?

A. 5 J

Correct B. 10 J

C. 15 J

D. 20 J

Correct Answer: B

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Question 6

A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. It is displaced from its equilibrium position by 0.2 m and released from rest. Assuming the motion is simple harmonic, calculate the maximum speed of the particle.

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 7

A block of mass 5 kg is placed on a frictionless surface and connected to a horizontal spring with a spring cons\tant of 200 N/m. The block is displaced from its equilibrium position by 0.1 m and released from rest. Assuming the motion is simple harmonic, calculate the period of the motion.

A. 0.5 s

Correct B. 1.0 s

C. 1.5 s

D. 2.0 s

Correct Answer: B

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Question 8

A particle of mass 3 kg is moving in a circular path with a radius of 0.5 m. The particle is subject to a centripetal force of 10 N. Calculate the speed of the particle.

A. 2.0 m/s

Correct B. 4.0 m/s

C. 6.0 m/s

D. 8.0 m/s

Correct Answer: B

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Question 9

A car of mass 1500 kg is traveling at a speed of 25 m/s. The driver applies the brakes, and the car comes to rest in a dis\tance of 20 m. Assuming the force of friction is cons\tant, calculate the force of friction.

A. 300 N

B. 400 N

Correct C. 500 N

D. 600 N

Correct Answer: C

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Question 10

A block of mass 2 kg is placed on a frictionless surface and connected to a horizontal spring with a spring cons\tant of 100 N/m. The block is displaced from its equilibrium position by 0.2 m and released from rest. Assuming the motion is simple harmonic, calculate the total energy of the system.

A. 0.5 J

Correct B. 1.0 J

C. 1.5 J

D. 2.0 J

Correct Answer: B

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Question 11

A radioactive sample of Δₗ emits Δₗα particles with a half-life of 5.27 years. If the initial activity is 100 Bq, what is 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 12

A particle of mass 2.0 kg is moving in a circular path of radius 3.0 m with a cons\tant speed of 4.0 m/s. What is the magnitude of the net force acting on the particle?

A. 12 N

B. 16 N

Correct C. 20 N

D. 24 N

Correct Answer: C

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Question 13

A convex lens of focal length 20 cm is used to form an image of an object placed 30 cm in front of it. What is the magnification of the image?

A. -0.5

B. -1.0

Correct C. -1.5

D. -2.0

Correct Answer: C

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Question 14

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. What is the maximum height reached by the projectile?

A. 10 m

B. 15 m

Correct C. 20 m

D. 25 m

Correct Answer: C

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Question 15

A photon of wavelength 500 nm is incident on a metal surface with work function 2.5 eV. What is the maximum kinetic energy of the emitted electron?

A. 1.25 eV

B. 1.5 eV

Correct C. 1.75 eV

D. 2.0 eV

Correct Answer: C

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Question 16

A particle of mass $m$ is moving in a circular orbit of radius $r$ with a cons\tant speed $v$. If the particle is subjected to a uniform magnetic field of strength $B$, what is the magnitude of the magnetic force acting on the particle?

A. 0

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

C. \frac{mv^3}{r^2}

D. \frac{m^2v^2}{r^2}

Correct Answer: B

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Question 17

A heat engine operates between two temperatures $T_1$ and $T_2$, with $T_1 > T_2$. If the engine absorbs $Q_1$ amount of heat from the high-temperature reservoir and rejects $Q_2$ amount of heat to the low-temperature reservoir, what is the efficiency of the engine?

Correct A. 1 - \frac{T_2}{T_1}

B. \frac{T_2}{T_1}

C. 1 - \frac{Q_2}{Q_1}

D. \frac{Q_2}{Q_1}

Correct Answer: A

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Question 18

A ray of light passes from air into a glass of re\fractive index $n$. If the angle of incidence is $\theta_i$ and the angle of re\fraction is $\theta_r$, what is the relationship between $\theta_i$ and $\theta_r$?

Correct A. \frac{\sin \theta_i}{\sin \theta_r} = n

B. \frac{\sin \theta_r}{\sin \theta_i} = n

C. \frac{\cos \theta_i}{\cos \theta_r} = n

D. \frac{\cos \theta_r}{\cos \theta_i} = n

Correct Answer: A

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Question 19

A particle of mass $m$ is moving in a straight line with a cons\tant acceleration $a$. If the particle starts from rest at position $x_0$ and time $t_0$, what is the position of the particle at time $t$?

Correct A. x_0 + \frac{1}{2}at^2

B. x_0 + at

C. x_0 + \frac{1}{2}at

D. x_0 + \frac{1}{2}t^2

Correct Answer: A

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Question 20

A heat engine operates between two temperatures $T_1$ and $T_2$, with $T_1 > T_2$. If the engine absorbs $Q_1$ amount of heat from the high-temperature reservoir and rejects $Q_2$ amount of heat to the low-temperature reservoir, what is the efficiency of the engine?

Correct A. 1 - \frac{T_2}{T_1}

B. \frac{T_2}{T_1}

C. 1 - \frac{Q_2}{Q_1}

D. \frac{Q_2}{Q_1}

Correct Answer: A

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Question 21

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 subject to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?

A. 2 m/s^2

B. 4 m/s^2

Correct C. 6 m/s^2

D. 8 m/s^2

Correct Answer: C

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Question 22

A 10 μF capacitor is connected in series with a 20 Ω resistor and a 5 V battery. What is the current flowing through the circuit?

A. 0.25 A

Correct B. 0.5 A

C. 1 A

D. 2 A

Correct Answer: B

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Question 23

A sound wave with a frequency of 200 Hz has a wavelength of 1.5 m. What is the speed of the sound wave?

A. 300 m/s

B. 400 m/s

Correct C. 500 m/s

D. 600 m/s

Correct Answer: C

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Question 24

A radioactive sample has a half-life of 5 years. If the initial activity is 100 Bq, what is the activity after 10 years?

A. 50 Bq

B. 25 Bq

Correct C. 12.5 Bq

D. 6.25 Bq

Correct Answer: C

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Question 25

A 5 μF capacitor is connected in parallel with a 10 μF capacitor. What is the equivalent capaci\tance?

A. 5 μF

B. 10 μF

Correct C. 15 μF

D. 20 μF

Correct Answer: C

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