Practice Post UTME REDEEMERS UNIVERSITY physics 2019 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. If the particle is subjected to a centripetal force of 10 N, what is the magnitude of the acceleration of the particle?

A. 12 m/s^2

Correct B. 16 m/s^2

C. 20 m/s^2

D. 24 m/s^2

Correct Answer: B

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Question 2

A radioactive sample decays from 100 g to 50 g in 10 days. If the decay cons\tant is 0.05/day, what is the half-life of the sample?

A. 14 days

B. 16 days

Correct C. 18 days

D. 20 days

Correct Answer: C

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Question 3

A magnetic field of 2 T is applied to a coil of 50 turns and a radius of 0.1 m. If the current in the coil is 5 A, what is the magnitude of the torque experienced by the coil?

A. 0.5 Nm

B. 1 Nm

Correct C. 1.5 Nm

D. 2 Nm

Correct Answer: C

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Question 4

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. If the air resis\tance is negligible, 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 5

A sound wave with a frequency of 200 Hz and an amplitude of 0.5 m is traveling through a medium with a speed of 340 m/s. If the wave is reflected from a rigid wall, what is the intensity of the reflected wave?

A. 100 W/m^2

Correct B. 200 W/m^2

C. 300 W/m^2

D. 400 W/m^2

Correct Answer: B

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Question 6

A radioactive sample of Δₗ emits Δₗα particles with a half-life of 5.27 years. If the initial activity of the sample is 2.5 × 10¹ Bq, what is the activity of the sample after 10 years?

Correct A. 1.25 × 10¹ Bq

B. 2.5 × 10¹ Bq

C. 5 × 10¹ Bq

D. 7.5 × 10¹ Bq

Correct Answer: A

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Question 7

A particle of mass 2.0 × 10¹ kg is moving in a circular orbit of radius 3.0 m with a speed of 4.0 m/s. What is the magnitude of the centripetal acceleration?

A. 0.50 m/s²

B. 1.0 m/s²

Correct C. 2.0 m/s²

D. 4.0 m/s²

Correct Answer: C

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Question 8

A wave of frequency 100 Hz and amplitude 0.5 m is traveling through a medium with a speed of 300 m/s. What is the wavelength of the wave?

A. 0.30 m

Correct B. 0.60 m

C. 1.0 m

D. 1.5 m

Correct Answer: B

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Question 9

A simple harmonic motion has a maximum displacement of 2.0 m and a period of 4.0 s. What is the angular frequency?

A. 0.50 rad/s

B. 1.0 rad/s

Correct C. 2.0 rad/s

D. 4.0 rad/s

Correct Answer: C

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Question 10

A sound wave has a frequency of 200 Hz and an amplitude of 0.2 m. What is the intensity of the sound wave?

A. 0.10 W/m²

Correct B. 0.20 W/m²

C. 0.30 W/m²

D. 0.40 W/m²

Correct Answer: B

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Question 11

A particle of mass $m$ is confined to a one-dimensional box of length $L$. If the particle is in the ground state, what is the expectation value of its position?

Correct A. $ L/2 $

B. ( L )

C. ( 0 )

D. $ L/4 $

Correct Answer: A

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Question 12

A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. If the circuit is driven by an alternating current source with a frequency of $f$, what is the impedance of the circuit?

Correct A. $ R + jomega L + \frac{1}{jomega C} $

B. $ R + jomega L - \frac{1}{jomega C} $

C. $ R - jomega L + \frac{1}{jomega C} $

D. $ R - jomega L - \frac{1}{jomega C} $

Correct Answer: A

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Question 13

A vector $mathbf{A}$ has a magnitude of $5$ and is directed at an angle of $30^circ$ to the positive $x$-axis. What is the $y$-component of $mathbf{A}$?

Correct A. $ 5 \sin 30^circ $

B. $ 5 \cos 30^circ $

C. $ 5 \tan 30^circ $

D. $ 5 sec 30^circ $

Correct Answer: A

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Question 14

A capacitor with a capaci\tance of $C$ is charged to a potential difference of $V$. If the capacitor is then disconnected from the power source and allowed to discharge through a resistor $R$, what is the time cons\tant of the discharge?

Correct A. ( RC )

B. $ \frac{RC}{2} $

C. $ \frac{R}{C} $

D. $ \frac{C}{R} $

Correct Answer: A

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Question 15

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

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

B. $ \frac{mv}{r} $

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

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

Correct Answer: A

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Question 16

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 magnitude of the acceleration of the particle?

A. 8 m/s^2

Correct B. 12 m/s^2

C. 16 m/s^2

D. 20 m/s^2

Correct Answer: B

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Question 17

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 18

A block of mass 5 kg is attached to a horizontal spring with a force 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. 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 car travels from rest to a speed of 25 m/s in 10 s. If the car is subjected to a cons\tant acceleration of 2 m/s^2, what is the dis\tance traveled by the car?

A. 50 m

B. 100 m

Correct C. 150 m

D. 200 m

Correct Answer: C

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Question 20

A 100 V AC supply is connected to a circuit containing a 20 Ω resistor and a 10 μF capacitor in series. If the frequency of the supply is 50 Hz, what is the impedance of the circuit?

A. 22 Ω

B. 25 Ω

Correct C. 28 Ω

D. 30 Ω

Correct Answer: C

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

Correct A. 6 m/s^2

B. 12 m/s^2

C. 18 m/s^2

D. 24 m/s^2

Correct Answer: A

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Question 22

A radioactive sample has a half-life of 10 years. If the initial activity of the sample is 1000 Bq, what is the activity of the sample after 20 years?

A. 125 Bq

Correct B. 250 Bq

C. 500 Bq

D. 1000 Bq

Correct Answer: B

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Question 23

A particle of mass 1 kg is moving in a straight line with an initial velocity of 5 m/s. If the particle is subjected to a force of 2 N, what is the acceleration of the particle after 2 seconds?

A. 1 m/s^2

Correct B. 2 m/s^2

C. 3 m/s^2

D. 4 m/s^2

Correct Answer: B

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Question 24

A wave has a frequency of 50 Hz and a wavelength of 0.1 m. What is the speed of the wave?

A. 2 m/s

Correct B. 5 m/s

C. 10 m/s

D. 20 m/s

Correct Answer: B

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Question 25

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 magnitude of the force acting on the particle?

A. 10 N

Correct B. 12 N

C. 14 N

D. 16 N

Correct Answer: B

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