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POST UTME CRAWFORD UNIVERSITY 2021 Physics | Objective

Are you preparing for POST UTME CRAWFORD UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2021 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

A radioactive sample of Uranium-238 undergoes \alpha decay to Thorium-234. If the half-life of Uranium-238 is 4.5 billion years, what is the decay cons\tant (λ) in s^-1?

Correct A. 4.83 × 10^-18 s^-1

B. 4.83 × 10^-17 s^-1

C. 4.83 × 10^-16 s^-1

D. 4.83 × 10^-15 s^-1

Correct Answer: A

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Question 2

A 5 kg block of ice at 0°C is placed in a 10°C water bath. Assuming the specific heat capacity of water is 4.184 J/g°C, what is the mass of water that needs to be heated to 10°C to melt the ice completely?

A. 1.25 kg

Correct B. 2.5 kg

C. 3.75 kg

D. 5 kg

Correct Answer: B

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Question 3

A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 10 V. If a dielectric material with a dielectric cons\tant of 2 is inserted between the plates, what is the new capaci\tance?

A. 20 μF

Correct B. 30 μF

C. 40 μF

D. 50 μF

Correct Answer: B

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Question 4

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. 1.715 m

B. 1.715 cm

C. 1.715 mm

D. 1.715 μm

Correct Answer: A

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Question 5

A 2 kg block is attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.5 m from its equilibrium position and released, what is the maximum speed of the block?

A. 1.414 m/s

Correct B. 2.828 m/s

C. 4.242 m/s

D. 5.657 m/s

Correct Answer: B

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Question 6

A beam of light is incident on a glass surface at an angle of 45°. If the re\fractive index of glass is 1.5, calculate the angle of re\fraction u\sing Snell's law.

Correct A. 30°

B. 45°

C. 60°

D. 75°

Correct Answer: A

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Question 7

A thermodynamic system undergoes a process from state A to state B. If the initial temperature is 300 K and the final temperature is 400 K, calculate the change in entropy u\sing the formula ΔS = Q / T.

A. 10 J/K

B. 20 J/K

Correct C. 30 J/K

D. 40 J/K

Correct Answer: C

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Question 8

A gas is confined to a container with a volume of 2 L. If the temperature is increased from 300 K to 400 K, calculate the new volume u\sing Charles' law.

A. 2.5 L

B. 3 L

Correct C. 3.5 L

D. 4 L

Correct Answer: C

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Question 9

A beam of light is incident on a convex lens with a focal length of 20 cm. If the object dis\tance is 30 cm, calculate the image dis\tance u\sing the lens equation.

A. 10 cm

Correct B. 20 cm

C. 30 cm

D. 40 cm

Correct Answer: B

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Question 10

A particle is moving in a circular path with a radius of 5 m. If the angular velocity is 2 rad/s, calculate the linear velocity u\sing the formula v = rω.

A. 10 m/s

Correct B. 20 m/s

C. 30 m/s

D. 40 m/s

Correct Answer: B

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Question 11

A beam of light passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.

A. 20°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

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Question 12

A radioactive sample has a half-life of 5 years. If the initial activity is 100 Bq, calculate the activity 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 13

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. Calculate the current flowing through the circuit.

A. 1.5 A

Correct B. 2 A

C. 2.5 A

D. 3 A

Correct Answer: B

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Question 14

A gas expands from 1 L to 2 L against a cons\tant external pressure of 2 atm. Calculate the work done by the gas.

A. 4 J

Correct B. 8 J

C. 16 J

D. 32 J

Correct Answer: B

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Question 15

A particle moves in simple harmonic motion with an angular frequency of 2 rad/s and an amplitude of 3 m. Calculate the maximum acceleration of the particle.

A. 12 m/s^2

B. 24 m/s^2

Correct C. 36 m/s^2

D. 48 m/s^2

Correct Answer: C

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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. 10 N

Correct B. 12 N

C. 15 N

D. 20 N

Correct Answer: B

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Question 17

A 10 μF capacitor is connected in series with a 20 Ω resistor and a 50 V battery. What is the current flowing through the circuit?

A. 1 A

B. 2 A

Correct C. 2.5 A

D. 3 A

Correct Answer: C

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Question 18

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. 12.5 Bq

Correct B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: B

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Question 19

A gas is heated from 20°C to 50°C. If the initial volume is 2 L, what is the final volume?

A. 1.5 L

B. 2 L

Correct C. 2.5 L

D. 3 L

Correct Answer: C

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Question 20

A sound wave has a frequency of 200 Hz and a wavelength of 0.5 m. What is the speed of the sound wave?

A. 50 m/s

B. 75 m/s

Correct C. 100 m/s

D. 150 m/s

Correct Answer: C

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Question 21

A light ray is incident on a glass slab at an angle of 45°. If the re\fractive index of glass is 1.5, what is the angle of re\fraction?

Correct A. 30°

B. 45°

C. 60°

D. 75°

Correct Answer: A

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Question 22

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the total resis\tance of the circuit?

A. 10 Ω

B. 12 Ω

Correct C. 16 Ω

D. 20 Ω

Correct Answer: C

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Question 23

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. 25 Bq

Correct B. 50 Bq

C. 75 Bq

D. 100 Bq

Correct Answer: B

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Question 24

A charged particle moves in a uniform magnetic field. If the particle has a charge of +2e and a velocity of 3 × 10^6 m/s, what is the radius of the circular path?

A. 1.5 m

Correct B. 3 m

C. 4.5 m

D. 6 m

Correct Answer: B

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Question 25

A simple p\endulum has a length of 1 m and a mass of 0.1 kg. If it is displaced by an angle of 30° and released, what is the time period?

A. 2 s

B. 3 s

Correct C. 4 s

D. 5 s

Correct Answer: C

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