POST UTME WELLSPRING UNIVERSITY 2021 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A block of mass m is attached to a horizontal spring with a spring cons\tant k. The block is displaced by a dis\tance x and then released. What is the frequency of the resulting simple harmonic motion?
A. 1/\( 2π√\( k/m \ \))
B. 1/\( 2π√\( m/k \ \))
C. 2π√\( k/m \)
D. 2π√\( m/k \)
Question 2
A block of mass 5 kg is attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 0.2 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 3
A wave has a frequency of 50 Hz and a wavelength of 0.1 m. What is its speed?
A. 5 m/s
B. 10 m/s
C. 20 m/s
D. 50 m/s
Question 4
A body of mass 2 kg is moving with a velocity of 4 m/s. If the body is subjected to a force of 10 N, determine the acceleration of the body.
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 5
A radioactive sample decays with a half-life of 10 years. If the initial activity is 100 Bq, what is the activity after 20 years?
A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq
Question 6
A wave has a frequency of 50 Hz and a wavelength of 0.2 m. What is the speed of the wave?
A. 10 m/s
B. 20 m/s
C. 30 m/s
D. 40 m/s
Question 7
A 100 W light bulb is connected to a 220 V power source. If the bulb is used for 5 hours a day, how much electricity does it consume in a month?
A. 120 kWh
B. 150 kWh
C. 180 kWh
D. 200 kWh
Question 8
A gas at a pressure of 2 atm and temperature of 300 K is heated to a temperature of 400 K. What is the final pressure of the gas?
A. 1.5 atm
B. 2.5 atm
C. 3 atm
D. 4 atm
Question 9
A solid sphere of radius 0.1 m and mass 0.5 kg is susp\ended from a wire of length 0.2 m. If the sphere is displaced by 0.01 m from its equilibrium position, what is the period of small oscillations?
A. 0.5 s
B. 1 s
C. 2 s
D. 5 s
Question 10
A projectile is thrown with an initial velocity of 20 m/s at an angle of 60° to the horizontal. If the acceleration due to gravity is 10 m/s^2, what is the time of flight?
A. 2 s
B. 4 s
C. 6 s
D. 8 s
Question 11
A \tank of water is filled to a height of 10 m. If a small hole of area 0.01 m^2 is drilled at the bottom of the \tank, what is the rate of flow of water out of the \tank?
A. 0.1 m^3/s
B. 0.2 m^3/s
C. 0.3 m^3/s
D. 0.4 m^3/s
Question 12
A heat engine operates between two reservoirs at temperatures T1 = 500 K and T2 = 300 K. The engine produces 100 J of work per cycle. What is the efficiency of the engine?
A. 0.25
B. 0.30
C. 0.35
D. 0.40
Question 13
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the current flowing through the circuit?
A. 1 A
B. 2 A
C. 3 A
D. 4 A
Question 14
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. L/4
C. 3L/4
D. L
Question 15
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
C. 20 m
D. 25 m

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