POST UTME WELLSPRING UNIVERSITY 2017 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. It is displaced by 0.5 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the maximum speed of the particle.
A. 1.0 m/s
B. 2.0 m/s
C. 3.0 m/s
D. 4.0 m/s
Question 2
A quantum particle has a wave function given by \( \psi(x) = Ae^{-\frac{x^2}{2\sigma^2}} \). If the s\tandard deviation of the particle's position is 1.5 m, calculate the expectation value of the particle's position.
A. 1.0 m
B. 1.5 m
C. 2.0 m
D. 2.5 m
Question 3
A 100 μF capacitor is connected in series with a 200 Ω resistor and a 5 V battery. Calculate the time cons\tant of the circuit.
A. 0.1 s
B. 1 s
C. 10 s
D. 100 s
Question 4
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The ground state energy of the particle is given by $E_0 = \frac{h^2}{8mL^2}$. If the length of the box is doubled, what is the ratio of the new ground state energy to the original ground state energy?
A. \frac{1}{4}
B. \frac{1}{2}
C. 1
D. 2
Question 5
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 6
A beam of light passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 30°
C. 40°
D. 50°
Question 7
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 8
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 9
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 10
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 11
A circuit consists of a resistor $R = 10 \text{ }Omega$, an inductor $L = 5 \text{ H}$, and a capacitor $C = 2 \times 10^{-6} \text{ F}$. If the circuit is driven by a \sinusoidal voltage source with a frequency of $f = 50 \text{ Hz}$, what is the impedance of the circuit?
A. \( Z = 10 \text{ }Omega \)
B. \( Z = 15 \text{ }Omega \)
C. \( Z = 20 \text{ }Omega \)
D. \( Z = 25 \text{ }Omega \)
Question 12
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 13
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 14
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 15
A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If a 12 V battery is connected across the circuit, calculate the current flowing through the 20 Ω resistor.
A. 0.2 A
B. 0.4 A
C. 0.6 A
D. 0.8 A

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