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POST UTME PAN-ATLANTIC UNIVERSITY 2022 Physics | Objective

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Question 1 View Details

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 centripetal acceleration?

A. 4 m/s^2

B. 8 m/s^2

Correct C. 12 m/s^2

D. 16 m/s^2

Correct Answer: C

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Question 2 View Details

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

A. 50 m/s

Correct B. 100 m/s

C. 150 m/s

D. 200 m/s

Correct Answer: B

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Question 3 View Details

A car is traveling at a speed of 30 m/s. If the driver applies the brakes and the car comes to a stop in 4 s, what is the magnitude of the acceleration?

A. -5 m/s^2

Correct B. -7.5 m/s^2

C. -10 m/s^2

D. -12.5 m/s^2

Correct Answer: B

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Question 4 View Details

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

A radioactive sample has an initial activity of 100 Bq. If the half-life of the sample is 2 days, what is the activity of the sample after 4 days?

A. 12.5 Bq

Correct B. 25 Bq

C. 37.5 Bq

D. 50 Bq

Correct Answer: B

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Question 6 View Details

A radioactive sample emits \alpha particles with a half-life of 5 days. If the initial activity is 100 Bq, calculate the activity after 10 days.

Correct A. 12.5 Bq

B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: A

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Question 7 View Details

A convex lens of focal length 20 cm forms an image of an object placed 30 cm away. Calculate the magnification of the image.

Correct A. 0.5

B. 1

C. 2

D. 3

Correct Answer: A

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Question 8 View Details

A sound wave with frequency 200 Hz has a speed of 340 m/s. Calculate the wavelength of the wave.

Correct A. 1.7 m

B. 1.8 m

C. 1.9 m

D. 2 m

Correct Answer: A

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Question 9 View Details

A capacitor with capaci\tance 10 μF is charged to a potential difference of 5 V. Calculate the energy stored in the capacitor.

Correct A. 0.125 J

B. 0.25 J

C. 0.5 J

D. 1 J

Correct Answer: A

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Question 10 View Details

A heat engine operates between two temperatures 300 K and 400 K. Calculate the efficiency of the engine.

Correct A. 0.2

B. 0.3

C. 0.4

D. 0.5

Correct Answer: A

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Question 11 View Details

A particle of mass $m$ is confined to a one-dimensional box of length $L$. The wave function of the particle is given by (psi(x) = \sqrt{\frac{2}{L}} \sinleft$ \frac{npi x}{L}\right $). What is the expectation value of the position operator in this state?

Correct A. \frac{L}{2}

B. \frac{L}{4}

C. \frac{3L}{4}

D. \frac{L}{3}

Correct Answer: A

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Question 12 View Details

A circuit consists of a 12 V battery, a 4 Ω resistor, and an inductor of induc\tance 2 H. The circuit is connected to a switch that is initially open. At time $t=0$, the switch is closed. What is the current in the circuit at time $t=0$?

A. 0 A

Correct B. 2 A

C. 4 A

D. 6 A

Correct Answer: B

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Question 13 View Details

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. 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 14 View Details

A 10 μF capacitor is connected in series with a 50 Ω resistor. The circuit is connected to a 12 V battery. What is the time cons\tant of the circuit?

A. 0.5 s

Correct B. 1 s

C. 2 s

D. 5 s

Correct Answer: B

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Question 15 View Details

A 100 Ω resistor is connected in parallel with a 200 Ω resistor. What is the equivalent resis\tance of the circuit?

A. 50 Ω

B. 100 Ω

Correct C. 150 Ω

D. 200 Ω

Correct Answer: C

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Question 16 View Details

A 2.5 kg block of ice at 0°C is placed in a 10°C water bath. Assuming the specific heat capacity of ice is 2090 J/kg°C and the specific heat capacity of water is 4186 J/kg°C, calculate the time it takes for the ice to melt completely.

A. 10 minutes

B. 20 minutes

Correct C. 30 minutes

D. 40 minutes

Correct Answer: C

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Question 17 View Details

A 100 Ω resistor is connected in series with a 20 V battery. If the current through the circuit is 0.5 A, what is the power dissipated by the resistor?

A. 10 W

B. 20 W

Correct C. 30 W

D. 40 W

Correct Answer: C

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Question 18 View Details

A particle of mass 0.5 kg is moving in a circular path of radius 2 m with a cons\tant speed of 4 m/s. What is the magnitude of the centripetal force acting on the particle?

A. 10 N

B. 20 N

Correct C. 30 N

D. 40 N

Correct Answer: C

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Question 19 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?

A. 1

Correct B. 2

C. 3

D. 4

Correct Answer: B

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Question 20 View Details

A 5 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 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. 10 m/s

B. 20 m/s

Correct C. 30 m/s

D. 40 m/s

Correct Answer: C

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Question 21 View Details

A uniform solid sphere of mass M and radius R is placed in a container filled with a fluid of density ρ. The sphere is partially submerged in the fluid, with a volume V submerged. Calculate the buoyant force exerted on the sphere.

Correct A. ρVg

B. Mg

C. ρVg + Mg

D. Mg - ρVg

Correct Answer: A

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Question 22 View Details

A particle of mass m is moving in a circular orbit of radius r around a fixed point O. The particle's velocity is v. Calculate the magnitude of the centripetal force acting on the particle.

Correct A. mv^2/r

B. mvr^2

C. mv^2/r^2

D. mv^2/r^3

Correct Answer: A

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Question 23 View Details

A parallel-plate capacitor consists of two plates of area A, separated by a dis\tance d. The capaci\tance of the capacitor is given by C = εA/d. Calculate the energy stored in the capacitor when it is charged to a potential difference V.

Correct A. 1/2 CV^2

B. CV^2

C. V^2/C

D. 1/CV^2

Correct Answer: A

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Question 24 View Details

A beam of light passes from air into a glass of re\fractive index μ. The angle of incidence is θ. Calculate the angle of re\fraction.

Correct A. θ/μ

B. μθ

C. θ + μ

D. μ - θ

Correct Answer: A

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Question 25 View Details

A circuit consists of a resistor R, an inductor L, and a capacitor C connected in series. The circuit is driven by an AC voltage source of frequency f. Calculate the impedance of the circuit.

Correct A. R + jωL + 1/jωC

B. R - jωL + 1/jωC

C. R + jωL - 1/jωC

D. R - jωL - 1/jωC

Correct Answer: A

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