POST UTME CRAWFORD UNIVERSITY 2024 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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
C. 24 kg m^2/s
D. 48 kg m^2/s
Question 2
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
C. 0.3 Nm
D. 0.4 Nm
Question 3
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
C. 14 N
D. 16 N
Question 4
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 = √\( k / m \)
C. ω = 2π√\( k / m \)
D. ω = π√\( k / m \)
Question 5
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.
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
Question 6
A wave has a frequency of 50 Hz and a wavelength of 2 m. What is the speed of the wave?
A. 100 m/s
B. 50 m/s
C. 200 m/s
D. 250 m/s
Question 7
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
C. Z = R
D. Z = jX_L - jX_C
Question 8
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
B. 0.4 C
C. 0.6 C
D. 0.8 C
Question 9
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
C. 15 Ω
D. 20 Ω
Question 10
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?
A. 12.5 grams
B. 25 grams
C. 50 grams
D. 100 grams
Question 11
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°
B. 45°
C. 60°
D. 75°
Question 12
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.
A. x = d / 2
B. x = d / 4
C. x = d
D. x = 2d
Question 13
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
B. 0.5 A
C. 1.0 A
D. 1.5 A
Question 14
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
C. 2 m/s^2
D. 4 m/s^2
Question 15
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
B. 0.4 m/s^2
C. 0.6 m/s^2
D. 0.8 m/s^2

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