Practice post utme abu physics 2020 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 12 N, what is the magnitude of the acceleration of the particle?

A. 8 m/s^2

B. 12 m/s^2

Correct C. 16 m/s^2

D. 20 m/s^2

Correct Answer: C

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Question 2

A 12 V battery is connected to a 4 Ω resistor in series with a 6 Ω resistor. What is the current flowing through the 6 Ω resistor?

A. 0.5 A

Correct B. 1 A

C. 1.5 A

D. 2 A

Correct Answer: B

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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 220 V AC supply is connected to a 100 Ω resistor. What is the current flowing through the resistor?

A. 2.2 A

Correct B. 4.4 A

C. 6.6 A

D. 8.8 A

Correct Answer: B

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Question 5

A particle of mass 1 kg is moving in a circular path of radius 2 m with a cons\tant speed of 3 m/s. If the particle is subjected to a centripetal force of 9 N, what is the magnitude of the acceleration of the particle?

A. 6 m/s^2

B. 12 m/s^2

Correct C. 18 m/s^2

D. 24 m/s^2

Correct Answer: C

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Question 6

A block of mass 2 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 and released from rest, what is the maximum speed of the block?

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 7

A particle of mass 1 kg is moving in a circular path of radius 2 m with a cons\tant speed of 4 m/s. What is the magnitude of the net 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 8

A capacitor consists of two parallel plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. If the capaci\tance is 10^-6 F, what is the charge stored on the capacitor when a potential difference of 10 V is applied across it?

A. 10^-8 C

B. 10^-7 C

Correct C. 10^-6 C

D. 10^-5 C

Correct Answer: C

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Question 9

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

A. 3 m

Correct B. 6 m

C. 9 m

D. 12 m

Correct Answer: B

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Question 10

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

A. 10 m

Correct B. 20 m

C. 30 m

D. 40 m

Correct Answer: B

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Question 11

A parallel plate capacitor has plates of area $A$ and separation $d$. The capaci\tance is given by $C = \frac{epsilon_0 A}{d}$. If the area of the plates is doubled and the separation is halved, what is the new capaci\tance?

A. \frac{2\epsilon_0 A}{d}

B. \frac{\epsilon_0 A}{2d}

Correct C. \frac{4\epsilon_0 A}{d}

D. \frac{\epsilon_0 A}{4d}

Correct Answer: C

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Question 12

A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. The particle is subject to a centripetal force $F_c = \frac{mv^2}{r}$. If the speed of the particle is doubled, what is the new centripetal force?

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

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

Correct C. \frac{4mv^2}{r}

D. \frac{mv^2}{4r}

Correct Answer: C

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Question 13

A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. The impedance of the circuit is given by $Z = \sqrt{R^2 + $ \omega L - \frac{1}{\omega C} $^2}$. If the resis\tance is doubled and the induc\tance is halved, what is the new impedance?

A. \sqrt{4R^2 + $ \omega L - \frac{1}{\omega C} $^2}

B. \sqrt{R^2 + $ \omega L - \frac{1}{2\omega C} $^2}

Correct C. \sqrt{4R^2 + $ \omega L - \frac{2}{\omega C} $^2}

D. \sqrt{R^2 + $ \omega L - \frac{1}{\omega C} $^2}

Correct Answer: C

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Question 14

A block of mass $m$ is placed on a frictionless surface and attached to a horizontal spring with spring cons\tant $k$. The block is displaced by a dis\tance $x$ and released from rest. The resulting simple harmonic motion has a period $T = 2\pi\sqrt{\frac{m}{k}}$. If the mass of the block is doubled and the spring cons\tant is halved, what is the new period?

A. 2\pi\sqrt{\frac{m}{2k}}

B. 2\pi\sqrt{\frac{2m}{k}}

Correct C. 2\pi\sqrt{\frac{m}{k/2}}

D. 2\pi\sqrt{\frac{2m}{2k}}

Correct Answer: C

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Question 15

A parallel plate capacitor has plates of area $A$ and separation $d$. The capaci\tance is given by $C = \frac{\epsilon_0 A}{d}$. If the area of the plates is tripled and the separation is halved, what is the new capaci\tance?

A. \frac{3\epsilon_0 A}{d}

B. \frac{\epsilon_0 A}{2d}

Correct C. \frac{9\epsilon_0 A}{d}

D. \frac{\epsilon_0 A}{6d}

Correct Answer: C

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Question 16

A gas is heated from 300 K to 400 K at cons\tant volume. If the initial volume is 2.0 L and the gas cons\tant is 0.082 L atm/mol K, what is the final pressure of the gas in atm?

A. 10 atm

Correct B. 20 atm

C. 30 atm

D. 40 atm

Correct Answer: B

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Question 17

A particle of mass 0.5 kg is attached to a spring with a spring cons\tant of 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released from rest, what is the maximum velocity of the particle?

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 18

A heat engine operates between two temperatures of 500 K and 300 K. If the engine has an efficiency of 30%, what is the temperature of the hot reservoir in Kelvin?

A. 400 K

B. 500 K

Correct C. 600 K

D. 700 K

Correct Answer: C

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Question 19

A wave has a frequency of 50 Hz and a wavelength of 0.2 m. If the wave is traveling in the positive x-direction, what is the direction of the wave's velocity?

Correct A. positive x-direction

B. negative x-direction

C. positive y-direction

D. negative y-direction

Correct Answer: A

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Question 20

A projectile is launched from the origin with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If the acceleration due to gravity is 9.8 m/s², what is the maximum height reached by the projectile?

A. 10 m

Correct B. 20 m

C. 30 m

D. 40 m

Correct Answer: B

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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?

A. 1 m/s^2

B. 2 m/s^2

Correct C. 3 m/s^2

D. 4 m/s^2

Correct Answer: C

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Question 22

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

Correct A. 12.5 Bq

B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: A

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Question 23

A block of mass 5 kg is placed on a horizontal surface with a coefficient of friction of 0.2. If a force of 10 N is applied to the block, what is the acceleration of the block?

A. 0.2 m/s^2

Correct B. 0.5 m/s^2

C. 1 m/s^2

D. 2 m/s^2

Correct Answer: B

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Question 24

A gas is contained in a cylinder of volume 2 m^3 at a pressure of 100 kPa. If the temperature of the gas is increased by 20 K, what is the new pressure of the gas?

A. 120 kPa

B. 140 kPa

Correct C. 160 kPa

D. 180 kPa

Correct Answer: C

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Question 25

A simple harmonic motion has a frequency of 2 Hz and an amplitude of 3 m. If the initial phase angle is 30°, what is the equation of motion of the particle?

Correct A. x(t) = 3 \sin$ 4\pi t + \frac{\pi}{6} $

B. x(t) = 3 \sin$ 4\pi t - \frac{\pi}{6} $

C. x(t) = 3 \cos$ 4\pi t + \frac{\pi}{6} $

D. x(t) = 3 \cos$ 4\pi t - \frac{\pi}{6} $

Correct Answer: A

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