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POST UTME CRAWFORD UNIVERSITY 2022 Physics | Objective

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Question 1 View Details

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 View Details

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 View Details

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 View Details

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 View Details

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 View Details

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 View Details

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 View Details

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 View Details

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 View Details

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 View Details

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 View Details

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 View Details

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 View Details

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 View Details

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 View Details

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 View Details

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 View Details

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 View Details

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 View Details

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 View Details

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 View Details

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 View Details

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 View Details

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 View Details

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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