POST UTME WELLSPRING UNIVERSITY 2017 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A photon has an energy of 2.5 eV. What is its wavelength?
A. 500 nm
B. 1000 nm
C. 1500 nm
D. 2000 nm
Question 2
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the total resis\tance of the circuit?
A. 8 Ω
B. 10 Ω
C. 12 Ω
D. 16 Ω
Question 3
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. 10 m
B. 15 m
C. 20 m
D. 25 m
Question 4
A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. What is the magnitude of the centripetal acceleration?
A. 4 m/s^2
B. 8 m/s^2
C. 12 m/s^2
D. 16 m/s^2
Question 5
A sound wave has a frequency of 200 Hz and a speed of 340 m/s. If the wave is traveling in the positive x-direction, what is the wavelength?
A. 1.7 m
B. 1.8 m
C. 1.9 m
D. 2.0 m
Question 6
A capacitor consists of two parallel plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. The plates are charged to a potential difference of 10 V. Calculate the capaci\tance of the capacitor.
A. 10^-9 F
B. 10^-8 F
C. 10^-7 F
D. 10^-6 F
Question 7
A 10 kg block is attached to a horizontal spring with a spring cons\tant of 100 N/m. Calculate the frequency of the block's oscillations.
A. 0.5 Hz
B. 1 Hz
C. 2 Hz
D. 5 Hz
Question 8
A heat engine operates between two temperatures, 500 K and 300 K. If the engine produces 100 J of work per cycle, calculate the efficiency of the engine.
A. 0.2
B. 0.3
C. 0.4
D. 0.5
Question 9
A wave of frequency $f$ and wavelength $λ$ is traveling through a medium. The speed of the wave is given by $v = fλ$. If the frequency is doubled and the wavelength is halved, what is the new speed of the wave?
A. 2v
B. 4v
C. v
D. \frac{v}{2}
Question 10
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. Assuming the only force acting on the projectile is gravity, calculate the time of flight.
A. 2 s
B. 4 s
C. 6 s
D. 8 s
Question 11
A 2 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, calculate the maximum speed of the block as it passes through the equilibrium position.
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 12
A parallel plate capacitor has a capaci\tance of $C = 2 \times 10^{-6} \text{ F}$ and is charged to a potential difference of $V = 10 \text{ V}$. If the plates are separated by a dis\tance of $d = 0.1 \text{ m}$, what is the energy stored in the capacitor?
A. \( U = \frac{1}{2}CV^2 \)
B. \( U = \frac{1}{2}CV \)
C. \( U = \frac{1}{2}CV^2d \)
D. \( U = \frac{1}{2}CV^2d^2 \)
Question 13
A block of mass 5 kg is placed on a frictionless surface and a horizontal force of 20 N is applied to it. What is the acceleration of the block?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 14
A string is stretched between two fixed points 2 m apart. If the string is plucked and the resulting wave has a frequency of 100 Hz, what is the speed of the wave?
A. 20 m/s
B. 40 m/s
C. 60 m/s
D. 80 m/s
Question 15
A radioactive sample has an initial activity of $A_0 = 100 \text{ Bq}$. If the half-life of the sample is $t_{1/2} = 10 \text{ min}$, what is the activity of the sample after $t = 20 \text{ min}$?
A. \( A = 50 \text{ Bq} \)
B. \( A = 25 \text{ Bq} \)
C. \( A = 12.5 \text{ Bq} \)
D. \( A = 6.25 \text{ Bq} \)

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