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POST UTME CRAWFORD UNIVERSITY 2022 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 2022 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

A particle of mass 2 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, determine the angular frequency of the resulting simple harmonic motion.

A. 10 rad/s

Correct B. 20 rad/s

C. 30 rad/s

D. 40 rad/s

Correct Answer: B

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Question 2

A ray of light passes from air into a glass block with a re\fractive index of 1.5. If the angle of incidence is 30°, determine the angle of re\fraction.

A. 20°

B. 25°

Correct C. 30°

D. 35°

Correct Answer: C

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Question 3

A car travels from rest to a speed of 25 m/s in 10 s. If the car's acceleration is cons\tant, determine the force exerted on the car.

A. 50 N

B. 100 N

Correct C. 150 N

D. 200 N

Correct Answer: C

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Question 4

A 2 kg block is attached to a horizontal, massless 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, determine the total energy of the system after 2 s.

A. 20 J

B. 30 J

Correct C. 40 J

D. 50 J

Correct Answer: C

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Question 5

A 5 kg block is moving in a circular path with a radius of 2 m at a speed of 4 m/s. If the block is subjected to a centripetal force of 10 N, determine the time required for the block to complete one revolution.

A. 2 s

Correct B. 4 s

C. 6 s

D. 8 s

Correct Answer: B

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Question 6

A radioactive sample of Δₗ emits Δₗα particles with a half-life of 5.3 days. If 50% of the sample decays in 10.6 days, what is the decay cons\tant λ?

Correct A. 0.130 d±

B. 0.130 d±

C. 0.130 d±

D. 0.130 d±

Correct Answer: A

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Question 7

A 2.0 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 0.20 m from its equilibrium position and then released from rest. Assuming the block undergoes simple harmonic motion, what is the maximum speed of the block?

Correct A. 0.20 m/s

B. 0.20 m/s

C. 0.20 m/s

D. 0.20 m/s

Correct Answer: A

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Question 8

A parallel-plate capacitor has a capaci\tance of 5.0 µF and is charged to a potential difference of 10 V. If the dis\tance between the plates is doubled, what is the new potential difference?

Correct A. 5.0 V

B. 5.0 V

C. 5.0 V

D. 5.0 V

Correct Answer: A

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Question 9

A gas is contained in a cylinder with a volume of 2.0 L at a pressure of 1.0 atm. If the temperature is increased by 10°C, what is the new pressure?

Correct A. 1.2 atm

B. 1.2 atm

C. 1.2 atm

D. 1.2 atm

Correct Answer: A

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Question 10

A 5.0 kg block is moving in a circular path with a radius of 2.0 m at a speed of 4.0 m/s. What is the centripetal acceleration?

Correct A. 4.0 m/s^2

B. 4.0 m/s^2

C. 4.0 m/s^2

D. 4.0 m/s^2

Correct Answer: A

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Question 11

A radioactive sample of Δₗ emits Δₗα particles with a half-life of 3.8 days. If the initial activity is 1.2 × 10¹ Bq, what is the activity after 11.4 days?

A. 1.2 × 10¹ Bq

B. 6.0 × 10¸ Bq

Correct C. 2.4 × 10¸ Bq

D. 1.8 × 10¸ Bq

Correct Answer: C

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Question 12

A convex lens of focal length 20 cm forms an image of an object placed 30 cm in front of it. What is the magnification of the lens?

A. -0.5

Correct B. -0.33

C. -0.25

D. -0.2

Correct Answer: B

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Question 13

A current of 2 A flows through a resistor of 4 Ω. What is the power dissipated by the resistor?

Correct A. 8 W

B. 16 W

C. 32 W

D. 64 W

Correct Answer: A

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Question 14

A block of mass 5 kg is attached to a horizontal spring with a force cons\tant of 200 N/m. The block is displaced by 0.2 m from its equilibrium position and then released. 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 15

A parallel plate capacitor has a capaci\tance of 10 μF. What is the potential difference across the capacitor if a charge of 2 µC is stored on it?

A. 2 V

Correct B. 4 V

C. 6 V

D. 8 V

Correct Answer: B

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Question 16

A radioactive sample of Uranium-238 emits an \alpha particle and then undergoes \beta decay. What is the resulting nucleus?

A. Thallium-234

B. Thorium-234

Correct C. Radium-226

D. Actinium-227

Correct Answer: C

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Question 17

A 5 kg block 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

Correct B. 4 m/s

C. 6 m/s

D. 8 m/s

Correct Answer: B

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Question 18

A convex lens of focal length 20 cm is used to form an image of an object placed 30 cm in front of it. What is the magnification of the image?

Correct A. 0.5

B. 1

C. 2

D. 3

Correct Answer: A

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Question 19

A 100 W light bulb is connected to a 220 V power source. What is the current drawn by the bulb?

A. 0.4 A

Correct B. 0.5 A

C. 0.6 A

D. 0.7 A

Correct Answer: B

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Question 20

A 2 kg block is moving in a circular path with a radius of 1.5 m. If the block experiences a centripetal acceleration of 4 m/s^2, what is its speed?

A. 3 m/s

Correct B. 4 m/s

C. 5 m/s

D. 6 m/s

Correct Answer: B

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Question 21

A uniform solid sphere of radius R and density ρ is floating in a liquid of density σ. The sphere is in equilibrium, and the pressure at the bottom of the sphere is P. The pressure at the top of the sphere is P + ΔP. U\sing the equation of hydrostatic pressure, derive an expression for ΔP in terms of R, ρ, σ, and g.

Correct A. ΔP = ρg\( 4/3πR^3 - 4/3πR^3\( ρ/σ \ \))

B. ΔP = ρg\( 4/3πR^3 - 4/3πR^3\( σ/ρ \ \))

C. ΔP = ρg\( 4/3πR^3 - 4/3πR^3\( ρ/σ \ \)) + ρg\( 4/3πR^3 \)

D. ΔP = ρg\( 4/3πR^3 - 4/3πR^3\( ρ/σ \ \)) - ρg\( 4/3πR^3 \)

Correct Answer: A

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Question 22

A radioactive sample of uranium-238 decays into thorium-234 with a half-life of 4.5 × 10^9 years. If the initial activity of the sample is 10^6 Bq, what is the activity of the sample after 1.8 × 10^9 years?

Correct A. 2.5 × 10^5 Bq

B. 5.0 × 10^5 Bq

C. 1.0 × 10^6 Bq

D. 2.0 × 10^6 Bq

Correct Answer: A

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Question 23

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the current in the circuit is 0.5 A, what is the voltage drop across the 6 Ω resistor?

A. 3 V

B. 4 V

Correct C. 6 V

D. 8 V

Correct Answer: C

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Question 24

A magnetic field of 0.5 T is directed perp\endicular to a wire of length 2 m and cross-sectional area 0.01 m^2. If the current in the wire is 5 A, what is the force exerted on the wire?

Correct A. 0.25 N

B. 0.5 N

C. 1.0 N

D. 2.0 N

Correct Answer: A

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Question 25

A 50 Hz AC voltage source is connected to a 100 Ω resistor. If the maximum voltage is 100 V, what is the rms voltage?

A. 50 V

Correct B. 70 V

C. 71 V

D. 100 V

Correct Answer: B

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