POST UTME ABU 2024 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A block of mass 2 kg is placed on a frictionless surface and attached to a horizontal spring with spring cons\tant 100 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the kinetic energy of the block at time t = 0.
A. 10 J
B. 20 J
C. 30 J
D. 40 J
Question 2
A lens of focal length $f$ forms an image of an object at a dis\tance $x$ from the lens. If the object is moved to a dis\tance $2x$, what is the new image dis\tance?
A. \frac{2x}{3}
B. \frac{3x}{2}
C. \frac{x}{2}
D. \frac{2x}{5}
Question 3
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. If the particle is subjected to a centripetal acceleration of 2 m/s^2, what is the magnitude of the net force acting on the particle?
A. 8 N
B. 10 N
C. 12 N
D. 16 N
Question 4
A convex lens of focal length 20 cm is placed in contact with a concave lens of focal length -15 cm. What is the focal length of the combination?
A. 10 cm
B. 15 cm
C. 20 cm
D. 25 cm
Question 5
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. If the particle is subjected to a centripetal force of 12 N, what is the magnitude of the force?
A. 10 N
B. 12 N
C. 15 N
D. 20 N
Question 6
A ray of light passes from air into a glass of re\fractive index $n$. If the angle of incidence is $\theta_i$, what is the angle of re\fraction?
A. \sin^{-1} \frac{n_1}{n_2} \sin \theta_i
B. \sin^{-1} \frac{n_2}{n_1} \sin \theta_i
C. \sin^{-1} \frac{n_1}{n_2} \cos \theta_i
D. \sin^{-1} \frac{n_2}{n_1} \cos \theta_i
Question 7
A 10 kg block is attached to a horizontal spring with a force cons\tant of 50 N/m. If the block is displaced by 1 m from its equilibrium position and released from rest, what is the frequency of the oscillations?
A. 1 Hz
B. 2 Hz
C. 3 Hz
D. 4 Hz
Question 8
A 10kg object is moving in a circular path with a radius of 5m. If the object's velocity is 2m/s, what is the centripetal acceleration?
A. 0.4m/s^2
B. 0.8m/s^2
C. 1.2m/s^2
D. 1.6m/s^2
Question 9
A block of mass 5 kg is attached to a horizontal spring with a force cons\tant of 20 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
C. 6 m/s
D. 8 m/s
Question 10
A solid sphere of radius R is made of a material with a Young's modulus of 200 GPa. If the sphere is subjected to a hydrostatic pressure of 100 MPa, what is the resulting change in its volume?
A. 0.05%
B. 0.1%
C. 0.2%
D. 0.5%
Question 11
A wave has a frequency of 200 Hz and a wavelength of 0.5 m. If the wave is traveling at a speed of 100 m/s, what is the amplitude of the wave?
A. 0.25 m
B. 0.5 m
C. 0.75 m
D. 1 m
Question 12
A particle of mass 2 kg is attached to a spring with spring cons\tant 100 N/m. It is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the total energy of the particle at time t = 0.
A. 10 J
B. 20 J
C. 30 J
D. 40 J
Question 13
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. 200 m/s
C. 300 m/s
D. 400 m/s
Question 14
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. If the particle is subjected to a centripetal force of 12 N, what is the magnitude of the force?
A. 8 N
B. 12 N
C. 16 N
D. 24 N
Question 15
A capacitor consists of two parallel plates, each with a surface area of 0.1 m^2. The dis\tance between the plates is 0.01 m. If a potential difference of 10 V is applied across the capacitor, what is the capaci\tance?
A. 10^-6 F
B. 10^-5 F
C. 10^-4 F
D. 10^-3 F

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