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POST UTME ACHIEVERS UNIVERSITY 2023 Physics | Objective

Are you preparing for POST UTME ACHIEVERS UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2023 Physics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

A 5.00 g sample of a radioactive subs\tance decays to 2.00 g in 1000 seconds. Assuming a first-order decay, calculate the decay cons\tant.

Correct A. \( 0.00500 , \text{s}^{-1} \)

B. \( 0.0100 , \text{s}^{-1} \)

C. \( 0.0200 , \text{s}^{-1} \)

D. \( 0.0500 , \text{s}^{-1} \)

Correct Answer: A

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Question 2

A 10.0 V battery is connected to a 2.00 kΩ resistor in series with a 3.00 μF capacitor. Calculate the time cons\tant of the RC circuit.

A. \( 6.00 , \text{ms} \)

Correct B. \( 12.0 , \text{ms} \)

C. \( 20.0 , \text{ms} \)

D. \( 60.0 , \text{ms} \)

Correct Answer: B

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Question 3

A sound wave with a frequency of 200 Hz has a speed of 343 m/s. What is the wavelength of the sound wave?

Correct A. \( 1.71 , \text{m} \)

B. \( 2.14 , \text{m} \)

C. \( 2.86 , \text{m} \)

D. \( 3.43 , \text{m} \)

Correct Answer: A

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Question 4

A 20.0 Ω resistor is connected in parallel with a 10.0 Ω resistor. What is the equivalent resis\tance of the circuit?

A. ( 5.00 , Omega )

B. ( 10.0 , Omega )

Correct C. ( 15.0 , Omega )

D. ( 20.0 , Omega )

Correct Answer: C

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Question 5

A 5.00 g sample of a radioactive subs\tance decays to 1.00 g in 500 seconds. Assuming a first-order decay, calculate the half-life of the subs\tance.

A. \( 1000 , \text{s} \)

Correct B. \( 2000 , \text{s} \)

C. \( 3000 , \text{s} \)

D. \( 4000 , \text{s} \)

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. What is the magnitude of the net force acting on the particle?

A. 8 N

B. 12 N

Correct C. 16 N

D. 20 N

Correct Answer: C

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Question 7

A container of volume 10 L is filled with a gas at a pressure of 2 atm. If the temperature of the gas is increased by 20°C, what is the new pressure of the gas?

A. 2.5 atm

B. 3 atm

Correct C. 3.5 atm

D. 4 atm

Correct Answer: C

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Question 8

A wave has a frequency of 50 Hz and a wavelength of 2 m. What is the speed of the wave?

A. 100 m/s

B. 200 m/s

Correct C. 250 m/s

D. 300 m/s

Correct Answer: C

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Question 9

A radioactive sample has an initial activity of 100 Bq. If the half-life of the sample is 10 minutes, what is the activity of the sample after 30 minutes?

A. 25 Bq

Correct B. 50 Bq

C. 75 Bq

D. 100 Bq

Correct Answer: B

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Question 10

A particle of mass 1 kg is moving in a circular path of radius 1 m with a cons\tant speed of 1 m/s. What is the magnitude of the net force acting on the particle?

Correct A. 1 N

B. 2 N

C. 3 N

D. 4 N

Correct Answer: A

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Question 11

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

A. 0.1 s

Correct B. 0.2 s

C. 0.5 s

D. 1 s

Correct Answer: B

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Question 12

A convex lens of focal length 20 cm is placed in contact with a concave lens of focal length -30 cm. A parallel beam of light is incident on the combination. Find the position of the image formed by the combination.

A. 10 cm

B. 20 cm

Correct C. 30 cm

D. 40 cm

Correct Answer: C

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Question 13

A 100 W heater is used to heat a room. If the room has a volume of 100 m^3 and the temperature is raised by 10°C, calculate the change in entropy of the room.

A. 100 J/K

B. 200 J/K

Correct C. 500 J/K

D. 1000 J/K

Correct Answer: C

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Question 14

A block of mass 5 kg is susp\ended from a spring with a spring cons\tant of 200 N/m. If the block is displaced by 0.1 m from its equilibrium position and released from rest, calculate the time taken for the block to reach its maximum speed.

A. 0.1 s

Correct B. 0.2 s

C. 0.5 s

D. 1 s

Correct Answer: B

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Question 15

A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 10 V is applied across it, calculate the energy stored in the capacitor.

A. 50 J

Correct B. 100 J

C. 200 J

D. 500 J

Correct Answer: B

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Question 16

A 100 Ω resistor is connected in series with a 200 Ω resistor. If a potential difference of 20 V is applied across the combination, calculate the current flowing through the 100 Ω resistor.

A. 0.1 A

Correct B. 0.2 A

C. 0.5 A

D. 1 A

Correct Answer: B

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Question 17

A 100 μF capacitor is connected in parallel with a 200 μF capacitor. If a potential difference of 10 V is applied across the combination, calculate the total capaci\tance of the combination.

A. 100 μF

B. 200 μF

Correct C. 300 μF

D. 400 μF

Correct Answer: C

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Question 18

A 100 Ω resistor is connected in parallel with a 200 Ω resistor. If a potential difference of 20 V is applied across the combination, calculate the current flowing through the 100 Ω resistor.

Question 19

A 10 Ω resistor is connected in series with a 20 Ω resistor and a 5 V battery. U\sing Kirchhoff's voltage law, determine the current through the 10 Ω resistor.

Correct A. 1/6 A

B. 1/3 A

C. 1/2 A

D. 2/3 A

Correct Answer: A

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Question 20

A magnetic field is produced by a current-carrying wire. If the current is doubled, what happens to the magnetic field?

A. Increases by a factor of 2

Correct B. Increases by a factor of 4

C. Remains the same

D. Decreases by a factor of 2

Correct Answer: B

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Question 21

A 100 V, 50 Hz AC source is connected to a 20 Ω resistor. Calculate the RMS current through the resistor.

Correct A. 5/√2 A

B. 10/√2 A

C. 20/√2 A

D. 50/√2 A

Correct Answer: A

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Question 22

A gas is heated from 20°C to 50°C. Calculate the change in the number of moles of the gas.

Correct A. 1.1

B. 1.2

C. 1.3

D. 1.4

Correct Answer: A

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Question 23

A 10 kg block is moving at a speed of 5 m/s. Calculate the kinetic energy of the block.

Correct A. 125 J

B. 250 J

C. 375 J

D. 500 J

Correct Answer: A

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Question 24

A 1000 Ω resistor is connected in series with a 2000 Ω resistor and a 9 V battery. U\sing Ohm's law, determine the current through the 1000 Ω resistor.

Correct A. 3/1000 A

B. 1/1000 A

C. 2/1000 A

D. 4/1000 A

Correct Answer: A

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Question 25

A magnetic field is produced by a current-carrying wire. If the current is tripled, what happens to the magnetic field?

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