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POST UTME FUTA 2020 Physics | Objective

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Question 1

A gas is heated from 300 K to 400 K at cons\tant volume. What is the ratio of the final pressure to the initial pressure?

Correct A. 1.33

B. 2.00

C. 3.00

D. 4.00

Correct Answer: A

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Question 2

A ray of light passes from air into a glass block at an angle of incidence of 30°. If the angle of re\fraction is 20°, what is the re\fractive index of the glass?

A. 1.25

Correct B. 1.33

C. 1.50

D. 1.67

Correct Answer: B

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Question 3

A particle moves in a circular path with a cons\tant speed of 5 m/s. If the radius of the circle is 2 m, what is the magnitude of the acceleration of the particle?

Correct A. 10 m/s^2

B. 20 m/s^2

C. 30 m/s^2

D. 40 m/s^2

Correct Answer: A

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Question 4

A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. What is the equivalent 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 5

A heat engine operates between two temperatures of 500 K and 300 K. If the efficiency of the engine is 30%, what is the work done by the engine per cycle?

A. 100 J

B. 200 J

Correct C. 300 J

D. 400 J

Correct Answer: C

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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 magnitude of the acceleration of the particle?

A. 0.5 m/s^2

B. 1 m/s^2

Correct C. 2 m/s^2

D. 4 m/s^2

Correct Answer: C

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Question 7

A capacitor of capaci\tance 10 μF is connected in series with a resistor of resis\tance 20 Ω. If a voltage of 50 V is applied across the circuit, 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 8

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 9

A gas is heated from 20°C to 80°C at cons\tant volume. If the initial pressure is 1 atm, what is the final pressure?

A. 2 atm

B. 3 atm

Correct C. 4 atm

D. 5 atm

Correct Answer: C

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Question 10

A circuit consists of a 10 Ω resistor and a 20 μF capacitor connected in series. If a voltage of 50 V is applied across the circuit, what is the time cons\tant of the circuit?

A. 0.2 s

Correct B. 0.5 s

C. 1 s

D. 2 s

Correct Answer: B

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Question 11

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 force?

A. 10 N

Correct B. 12 N

C. 15 N

D. 20 N

Correct Answer: B

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Question 12

A block of mass 5 kg is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. 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

B. 4 m/s

Correct C. 6 m/s

D. 8 m/s

Correct Answer: C

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Question 13

A parallel plate capacitor consists of two plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. The capaci\tance of the capacitor is 10 nF. If a potential difference of 10 V is applied across the capacitor, what is the charge on the positive plate?

Correct A. 0.1 C

B. 0.2 C

C. 0.3 C

D. 0.4 C

Correct Answer: A

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Question 14

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

Correct A. 12.5 Bq

B. 25 Bq

C. 37.5 Bq

D. 50 Bq

Correct Answer: A

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Question 15

A current of 2 A flows through a resistor of 10 ohms. What is the power dissipated by the resistor?

Correct A. 20 W

B. 40 W

C. 60 W

D. 80 W

Correct Answer: A

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Question 16

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 subject to a centripetal force of 6 N, what is the magnitude of the force?

A. 5 N

Correct B. 6 N

C. 7 N

D. 8 N

Correct Answer: B

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Question 17

A block of mass 3 kg is attached to a horizontal, massless spring with a force cons\tant of 300 N/m. The block is displaced by 1 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 18

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 acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?

A. 10 N

B. 12 N

Correct C. 15 N

D. 20 N

Correct Answer: C

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Question 19

A capacitor consists of two parallel plates 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^-5 C

Correct B. 10^-6 C

C. 10^-7 C

D. 10^-8 C

Correct Answer: B

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Question 20

A sound wave with a frequency of 200 Hz and an amplitude of 0.01 m is traveling through a medium with a speed of 343 m/s. What is the wavelength of the sound wave?

Correct A. 1.71 m

B. 1.72 m

C. 1.73 m

D. 1.74 m

Correct Answer: A

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Question 21

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 22

A particle of mass 1 kg is confined to a one-dimensional box of length 1 m. What is the ground-state energy of the particle?

Correct A. 6.025 x 10^-34 J

B. 6.025 x 10^-33 J

C. 6.025 x 10^-32 J

D. 6.025 x 10^-31 J

Correct Answer: A

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Question 23

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 a dis\tance $s$?

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

B. $W = mv^2$

C. $W = \frac{mv^2}{r}$

D. $W = \frac{1}{2}mv^2 + mv^2$

Correct Answer: A

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Question 24

A 100 V, 50 Hz AC voltage source is connected to a 20 Ω resistor. If the current through the resistor is 2 A, what is the power consumed by the resistor?

Correct A. 100 W

B. 200 W

C. 50 W

D. 20 W

Correct Answer: A

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Question 25

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

Correct A. 500 Bq

B. 1000 Bq

C. 2000 Bq

D. 5000 Bq

Correct Answer: A

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