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POST UTME CRAWFORD UNIVERSITY 2024 Physics | Objective

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Question 1 View Details

A charged particle moves through a uniform magnetic field. If the particle's velocity is perp\endicular to the magnetic field, what is the direction of the force exerted on the particle?

A. towards the magnetic field

B. away from the magnetic field

Correct C. perp\endicular to the magnetic field

D. in the direction of the magnetic field

Correct Answer: C

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Question 2 View Details

A simple harmonic motion has a maximum displacement of 5 cm and a frequency of 2 Hz. What is the angular frequency?

A. 4\pi rad/s

Correct B. 2\pi rad/s

C. 8\pi rad/s

D. 10\pi rad/s

Correct Answer: B

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Question 3 View Details

A container filled with water is placed under a pressure of 101325 Pa. What is the pressure at a depth of 10 m?

A. 101325 Pa

Correct B. 101325 + 9810 Pa

C. 101325 - 9810 Pa

D. 101325 + 196200 Pa

Correct Answer: B

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Question 4 View Details

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

Correct A. 100 m/s

B. 50 m/s

C. 200 m/s

D. 250 m/s

Correct Answer: A

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Question 5 View Details

A ray of light passes from air into a glass of re\fractive index 1.5. What is the angle of re\fraction?

A. 30°

Correct B. 45°

C. 60°

D. 75°

Correct Answer: B

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Question 6 View Details

A 2.5 V battery is connected in series with a 5 Ω resistor and a 10 Ω resistor. What is the current flowing through the 5 Ω resistor?

A. 0.2 A

Correct B. 0.5 A

C. 1.0 A

D. 1.5 A

Correct Answer: B

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Question 7 View Details

A wave has a frequency of 50 Hz and a wavelength of 10 m. What is its speed?

A. 500 m/s

B. 1000 m/s

Correct C. 2000 m/s

D. 2500 m/s

Correct Answer: C

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Question 8 View Details

A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If it has a velocity of 4 m/s, what is its angular momentum?

A. 6 kg m^2/s

B. 12 kg m^2/s

Correct C. 24 kg m^2/s

D. 48 kg m^2/s

Correct Answer: C

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Question 9 View Details

A capacitor has a capaci\tance of 10 μF. If a voltage of 20 V is applied across it, what is the charge stored?

A. 0.2 C

Correct B. 0.4 C

C. 0.6 C

D. 0.8 C

Correct Answer: B

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Question 10 View Details

A 10 Ω resistor is connected in parallel with a 20 Ω resistor. What is the equivalent resis\tance?

A. 5 Ω

B. 10 Ω

Correct C. 15 Ω

D. 20 Ω

Correct Answer: C

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Question 11 View Details

A 2.5 mH inductor is connected in series with a 10 Ω resistor and a 20 V AC source. If the frequency of the source is 50 Hz, what is the impedance of the circuit?

A. 15.9 Ω

Correct B. 16.1 Ω

C. 16.5 Ω

D. 17.1 Ω

Correct Answer: B

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Question 12 View Details

A particle of mass 0.5 kg is moving in a circular path with a radius of 2 m. If the particle has a velocity of 4 m/s, what is the magnitude of the force acting on the particle?

A. 10 N

B. 12 N

Correct C. 14 N

D. 16 N

Correct Answer: C

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Question 13 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. 0.5

Correct B. 0.6

C. 0.7

D. 0.8

Correct Answer: B

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Question 14 View Details

A magnetic field of 0.5 T is applied to a coil of 100 turns and a radius of 0.1 m. If the current in the coil is 2 A, what is the torque experienced by the coil?

A. 0.1 Nm

B. 0.2 Nm

Correct C. 0.3 Nm

D. 0.4 Nm

Correct Answer: C

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Question 15 View Details

A 5 kg block is moving on a horizontal surface with a velocity of 2 m/s. If a force of 10 N is applied to the block, what is its acceleration?

A. 0.2 m/s^2

Correct B. 0.4 m/s^2

C. 0.6 m/s^2

D. 0.8 m/s^2

Correct Answer: B

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Question 16 View Details

A particle of mass $m$ is attached to a spring with spring cons\tant $k$. The particle is displaced from its equilibrium position by a dis\tance $x_0$ and released from rest. Assuming the motion is simple harmonic, find the angular frequency $omega$ of the particle's motion.

A. ω = k / m

B. ω = √$ k / m $

Correct C. ω = 2π√$ k / m $

D. ω = π√$ k / m $

Correct Answer: C

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Question 17 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 alternating voltage source with a frequency $f$. Assuming the circuit is in resonance, find the impedance $Z$ of the circuit.

A. Z = R + jX_L - jX_C

B. Z = R + jX_L + jX_C

Correct C. Z = R

D. Z = jX_L - jX_C

Correct Answer: C

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Question 18 View Details

A beam of light passes through a double-slit apparatus and forms an interference pattern on a screen. The dis\tance between the slits is $d$, and the wavelength of the light is $λ$. Assuming the light is monochromatic, find the dis\tance $x$ between the central maximum and the first minimum of the interference pattern.

Correct A. x = d / 2

B. x = d / 4

C. x = d

D. x = 2d

Correct Answer: A

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Question 19 View Details

A block of mass $m$ is placed on a frictionless surface and attached to a spring with spring cons\tant $k$. The block is displaced from its equilibrium position by a dis\tance $x_0$ and released from rest. Assuming the motion is simple harmonic, find the kinetic energy $K$ of the block at time $t$.

Correct A. K = $ 1/2 $ m ω^2 x_0^2 \sin^2(ω t)

B. K = $ 1/2 $ m ω^2 x_0^2 \cos^2(ω t)

C. K = $ 1/2 $ m ω^2 x_0^2

D. K = $ 1/2 $ m ω^2 x_0^2 \cos(ω t)

Correct Answer: A

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Question 20 View Details

A parallel-plate capacitor consists of two plates separated by a dis\tance $d$. The plates have a surface charge density $σ$. Assuming the electric field between the plates is uniform, find the capaci\tance $C$ of the capacitor.

Correct A. C = ε_0 A / d

B. C = ε_0 A / d^2

C. C = ε_0 A / d^3

D. C = ε_0 A / d^4

Correct Answer: A

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Question 21 View Details

A radioactive sample of Uranium-238 decays into Thorium-234 with a half-life of 4.5 billion years. If the initial mass of the Uranium-238 sample is 100 grams, what is the mass of the sample after 9 billion years?

Correct A. 12.5 grams

B. 25 grams

C. 50 grams

D. 100 grams

Correct Answer: A

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Question 22 View Details

A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle has a velocity of 4 m/s, what is the magnitude of the centripetal acceleration?

A. 0.5 m/s^2

B. 1 m/s^2

Correct C. 2 m/s^2

D. 4 m/s^2

Correct Answer: C

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Question 23 View Details

A wave with a frequency of 50 Hz and a wavelength of 0.2 m is traveling through a medium. What is the speed of the wave?

A. 10 m/s

B. 20 m/s

Correct C. 50 m/s

D. 100 m/s

Correct Answer: C

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Question 24 View Details

A simple harmonic motion has a maximum displacement of 2 m and a period of 4 s. What is the angular frequency?

A. 0.5 rad/s

B. 1 rad/s

Correct C. 2 rad/s

D. 4 rad/s

Correct Answer: C

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Question 25 View Details

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

A. 0.0017 m

B. 0.017 m

Correct C. 0.17 m

D. 1.7 m

Correct Answer: C

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