POST UTME UNILORIN 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If air resis\tance is neglected, what is the maximum height reached by the projectile?
A. 15 m
B. 20 m
C. 25 m
D. 30 m
Question 2
A point charge of +2 μC is placed at the center of a hollow, conducting sphere of radius 0.1 m. What is the electric field at a point on the surface of the sphere?
A. \( 0 , \text{N/C} \)
B. \( 2 \times 10^6 , \text{N/C} \)
C. \( 4 \times 10^6 , \text{N/C} \)
D. \( 6 \times 10^6 , \text{N/C} \)
Question 3
A block of mass 5 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 200 N/m. If the block is displaced by 0.1 m from its equilibrium position and released, 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 4
A radioactive sample has a half-life of 10 years. If the initial activity is 100 Bq, calculate the activity after 20 years.
A. 25 Bq
B. 50 Bq
C. 75 Bq
D. 100 Bq
Question 5
A projectile is launched at an angle of 30° to the horizontal with an initial velocity of 20 m/s. Calculate the time of flight.
A. 2 s
B. 4 s
C. 6 s
D. 8 s
Question 6
A simple harmonic motion has a period 2 s and an amplitude 0.5 m. What is the angular frequency?
A. 1.57 rad/s
B. 3.14 rad/s
C. 6.28 rad/s
D. 10 rad/s
Question 7
A 5 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position and released, what is its maximum kinetic energy?
A. 10 J
B. 20 J
C. 30 J
D. 40 J
Question 8
A \tank is filled with water to a height of 4 m. If a small hole of area 0.01 m^2 is made at the bottom of the \tank, what is the rate at which the water level will drop?
A. 0.04 m/s
B. 0.08 m/s
C. 0.12 m/s
D. 0.16 m/s
Question 9
A simple harmonic motion has a frequency of 2 Hz and an amplitude of 3 m. Calculate the angular frequency.
A. 4 rad/s
B. 6.28 rad/s
C. 12.56 rad/s
D. 25.12 rad/s
Question 10
A particle of mass m is confined to a one-dimensional box of length L. The wave function of the particle is given by ψ(x) = √\( 2/L \) * \sin\( nπx/L \), where n is a positive integer. What is the expectation value of the position operator x?
A. L/2
B. nπL/2
C. n^2π^2L^2/12
D. nπL/2
Question 11
A particle of mass 0.5 kg is moving in a circular path with a cons\tant speed of 5 m/s. If the radius of the path is 2 m, what is the magnitude of the centripetal acceleration?
A. \( 0.5 , \text{m/s}^2 \)
B. \( 1 , \text{m/s}^2 \)
C. \( 2 , \text{m/s}^2 \)
D. \( 5 , \text{m/s}^2 \)
Question 12
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. What is the maximum height reached by the projectile?
A. \( 10 , \text{m} \)
B. \( 15 , \text{m} \)
C. \( 20 , \text{m} \)
D. \( 25 , \text{m} \)
Question 13
A sound wave with frequency 100 Hz and amplitude 0.1 m is traveling through a medium with speed 343 m/s. What is the wavelength of the sound wave?
A. 3.43 m
B. 0.0343 m
C. 343 m
D. 0.00143 m
Question 14
A magnetic field of 0.5 T is directed along the positive z-axis. A current of 2 A is flowing in a wire that lies in the xy-plane. What is the magnitude of the magnetic force on a 0.1 m long segment of the wire?
A. \( 0.1 , \text{N} \)
B. \( 0.2 , \text{N} \)
C. \( 0.5 , \text{N} \)
D. \( 1 , \text{N} \)
Question 15
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If the projectile lands 100 m away from the launch point, what is the maximum height reached by the projectile?
A. 15 m
B. 20 m
C. 25 m
D. 30 m

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