POST UTME BELLS UNIVERSITY 2021 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 operator for this state?
A. 0
B. \frac{L}{2}
C. L
D. \frac{2L}{\pi}
Question 2
A 5 kg block is attached to a horizontal 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 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 body of mass 5 kg is moving with a velocity of 10 m/s. If the body is subjected to a force of 20 N, what is 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 4
A magnetic field is created by a current-carrying wire. What is the direction of the magnetic field at a point 2 meters away from the wire?
A. The magnetic field points towards the wire.
B. The magnetic field points away from the wire.
C. The magnetic field is perp\endicular to the wire.
D. The magnetic field is parallel to the wire.
Question 5
A 1000 W heater is connected to a 220 V power source. If the heater is used for 2 hours a day, how much electricity will it consume in a month?
A. 120 kWh
B. 150 kWh
C. 180 kWh
D. 200 kWh
Question 6
A magnetic field of magnitude $B$ is directed perp\endicular to the plane of a circular loop of radius $r$. The loop is made of a material with a magnetic susceptibility of $\chi$. What is the magnetic moment of the loop?
A. \frac{\pi r^2 B}{\mu_0}
B. \chi \frac{\pi r^2 B}{\mu_0}
C. \frac{\chi \pi r^2 B}{\mu_0}
D. \frac{\pi r^2 B}{\mu_0 \chi}
Question 7
A force of 10 Newtons is applied to an object, cau\sing it to accelerate at 2 meters per second squared. What is the mass of the object?
A. 5 kg
B. 10 kg
C. 20 kg
D. 50 kg
Question 8
A heat engine operates between two temperatures $T_1$ and $T_2$. The engine has an efficiency of $\eta$. What is the ratio of the high-temperature reservoir to the low-temperature reservoir?
A. 1
B. 1 - \eta
C. \frac{1}{1 - \eta}
D. \frac{1 - \eta}{\eta}
Question 9
A particle of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. If the particle is subjected to a centripetal force of 12 N, what is the magnitude of the force?
A. 10 N
B. 12 N
C. 15 N
D. 20 N
Question 10
A circuit consists of a 12 V battery, a 4 Ω resistor, and an unknown resistor. If the current in the circuit is 2 A, what is the value of the unknown resistor?
A. 2 Ω
B. 4 Ω
C. 6 Ω
D. 8 Ω
Question 11
A light ray passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.
A. 20°
B. 25°
C. 30°
D. 35°
Question 12
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. If air resis\tance is neglected, what is the time of flight of the projectile?
A. 2.0 s
B. 4.0 s
C. 6.0 s
D. 8.0 s
Question 13
A force of 10 N is applied to an object, cau\sing it to accelerate at 2 m/s². If the object has a mass of 5 kg, what is the net force acting on the object?
A. 5 N
B. 10 N
C. 15 N
D. 20 N
Question 14
A wave has a frequency of 50 Hz and a wavelength of 0.2 m. Calculate the speed of the wave.
A. 5 m/s
B. 10 m/s
C. 15 m/s
D. 20 m/s
Question 15
A 100 W light bulb is connected to a 220 V power source. What is the current drawn by the bulb?
A. 0.45 A
B. 0.5 A
C. 0.55 A
D. 0.6 A

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