POST UTME BABCOCK UNIVERSITY 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A block of mass 5 kg is attached to a spring with a spring cons\tant of 100 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Calculate the maximum speed of the block.
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 2
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 uniform magnetic field of strength 2 T directed perp\endicular to the plane of the circular path, what is the magnitude of the magnetic force acting on the particle?
A. 8 N
B. 16 N
C. 32 N
D. 64 N
Question 3
A 50 Hz, 200 V AC source is connected to a 100 Ω resistor. Calculate the rms value of the current flowing through the resistor.
A. 1.41 A
B. 2.83 A
C. 5.66 A
D. 11.32 A
Question 4
A 1000 W electric heater is connected to a 230 V AC source. Calculate the current flowing through the heater.
A. 4.35 A
B. 8.7 A
C. 13.19 A
D. 16.48 A
Question 5
A 10 kg object is moving in a circular path with a radius of 5 m. If the object's speed is 20 m/s, find the centripetal acceleration.
A. 10 m/s^2
B. 20 m/s^2
C. 30 m/s^2
D. 40 m/s^2
Question 6
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 subject to a centripetal acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?
A. 8 N
B. 10 N
C. 12 N
D. 16 N
Question 7
A convex lens of focal length 20 cm is used to form an image of an object placed 30 cm in front of it. What is the magnification of the lens?
A. -0.5
B. -1
C. -1.5
D. -2
Question 8
A 10 μF capacitor is connected in series with a 20 Ω resistor and a 100 V battery. Find the time cons\tant of the circuit.
A. 0.2 s
B. 0.5 s
C. 1 s
D. 2 s
Question 9
A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 5 Ω resistor connected in series. If a voltage of 15 V is applied across the circuit, what is the current flowing through the 5 Ω resistor?
A. 0.75 A
B. 1.25 A
C. 1.5 A
D. 2 A
Question 10
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. If the particle is subjected to a centripetal force $F_c = \frac{mv^2}{r}$, what is the magnitude of the acceleration of the particle?
A. \frac{v^2}{r}
B. \frac{mv^2}{r^2}
C. \frac{mv^2}{r}
D. \frac{v^3}{r}
Question 11
A sound wave with a frequency of 200 Hz and an amplitude of 0.5 m is traveling through a medium with a speed of 340 m/s. If the wave is reflected off a fixed \end, what is the maximum displacement of the wave at the fixed \end?
A. 0 m
B. 0.5 m
C. 1 m
D. 1.5 m
Question 12
A block of mass 5 kg is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. The block is displaced by 2 m from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, 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 13
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 energy of the particle?
A. 1 J
B. 2 J
C. 3 J
D. 4 J
Question 14
A gas at 300 K and 1 atm expands to 2 atm at cons\tant temperature. Calculate the final volume of the gas.
A. 0.5 m^3
B. 1 m^3
C. 2 m^3
D. 4 m^3
Question 15
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 acceleration of the particle?
A. 4 m/s^2
B. 6 m/s^2
C. 8 m/s^2
D. 10 m/s^2

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