POST UTME UNIBEN 2017 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A lens of focal length 20 cm is placed in a beam of light. If the object dis\tance is 30 cm, calculate the image dis\tance.
A. 10 cm
B. 20 cm
C. 30 cm
D. 40 cm
Question 2
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the dielectric cons\tant of the material between the plates is 3, calculate the capaci\tance.
A. 0.02 F
B. 0.04 F
C. 0.06 F
D. 0.08 F
Question 3
A 2 kg object is moving in a circular path of radius 3 m. The object is subject to a centripetal force of 10 N. What is the speed of the object?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 4
A particle of mass 1 kg is confined to a one-dimensional box of length 1 m. If the particle is in the ground state, what is the expectation value of its position?
A. 0.5 m
B. 0.7 m
C. 0.9 m
D. 1.1 m
Question 5
A capacitor is connected to a 12 V battery. If the capaci\tance is 10 μF, calculate the charge stored on the capacitor.
A. 0.12 C
B. 0.12 μC
C. 0.12 mC
D. 0.12 μF
Question 6
A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 20 V. If a dielectric slab of thickness 2 mm and dielectric cons\tant 3 is inserted between the plates, what is the new capaci\tance?
A. 30 μF
B. 40 μF
C. 50 μF
D. 60 μF
Question 7
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The ground-state wave function of the particle is given by $psi_1(x) = \sqrt{\frac{2}{L}} \sinleft\( \frac{pi x}{L}\right \)$. What is the expectation value of the position of the particle in the ground state?
A. 0
B. \frac{L}{2}
C. L
D. \frac{2L}{\pi}
Question 8
A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. It is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the time taken for the particle to reach its maximum speed.
A. 0.1 s
B. 0.2 s
C. 0.3 s
D. 0.4 s
Question 9
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. What is the maximum speed of the block?
A. 0.2 m/s
B. 0.4 m/s
C. 0.6 m/s
D. 0.8 m/s
Question 10
A heat engine operates between the temperatures of 500 K and 300 K. If the engine absorbs 1000 J of heat from the high-temperature reservoir, what is the efficiency of the engine?
A. 0.25
B. 0.33
C. 0.40
D. 0.50
Question 11
A 2 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. If the block is displaced by 0.1 m from its equilibrium position, calculate the potential energy stored in the spring.
A. 10 J
B. 20 J
C. 30 J
D. 40 J
Question 12
A 20 μF capacitor is connected in series with a 30 Ω resistor and a 60 V battery. What is the current flowing through the circuit?
A. 0.5 A
B. 1 A
C. 1.5 A
D. 2 A
Question 13
A gas at 300 K expands from 0.05 m^3 to 0.1 m^3. Calculate the work done by the gas.
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 14
A particle of mass 1 kg is moving in a circular path of radius 2 m with a cons\tant speed of 3 m/s. If the particle is subject to a centripetal force of 6 N, what is the magnitude of the force?
A. 8 N
B. 10 N
C. 12 N
D. 15 N
Question 15
A sound wave with a frequency of 200 Hz is traveling through a medium with a speed of 340 m/s. What is the wavelength of the sound wave?
A. 0.5 m
B. 1.0 m
C. 1.5 m
D. 2.0 m

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Help others prepare! Share this practice hub: