POST UTME UNIBEN 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 2
A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. The circuit is driven by an alternating voltage source with a frequency $f$. What is the impedance of the circuit?
A. R + jX_L - jX_C
B. R + jX_L + jX_C
C. R - jX_L + jX_C
D. R - jX_L - jX_C
Question 3
A heat engine operates between the temperatures of 500 K and 300 K. If the engine absorbs 1000 J of heat energy from the high-temperature reservoir, what is the efficiency of the engine?
A. 20%
B. 30%
C. 40%
D. 50%
Question 4
A projectile is launched from the origin with an initial velocity $v_0$ at an angle $\theta$ above the horizontal. What is the time of flight of the projectile?
A. \frac{2v_0 \sin \theta}{g}
B. \frac{v_0 \sin \theta}{g}
C. \frac{2v_0 \cos \theta}{g}
D. \frac{v_0 \cos \theta}{g}
Question 5
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 probability of finding the particle in the region $0 < x < \frac{L}{2}$?
A. \frac{1}{2}
B. \frac{1}{4}
C. \frac{1}{8}
D. \frac{1}{16}
Question 6
A block of mass 10 kg is attached to a horizontal spring with a spring 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 7
A radioactive sample of Δₗ decays to Δₘ with a half-life of 5.27 years. If the initial activity of the sample is 100 Bq, what is the activity after 10 years?
A. 50 Bq
B. 25 Bq
C. 12.5 Bq
D. 6.25 Bq
Question 8
A gas at 300 K is heated to 600 K. If the initial volume is 2.5 L, what is the final volume if the gas obeys Charles' Law?
A. 5 L
B. 10 L
C. 15 L
D. 20 L
Question 9
A 5 kg block is moving with a velocity of 2 m/s on a frictionless surface. What is the kinetic energy (KE) of the block?
A. 5 J
B. 10 J
C. 15 J
D. 20 J
Question 10
A particle of mass $m$ is moving in a circular orbit of radius $r$ in a uniform magnetic field of strength $B$. If the particle's speed is $v$, what is the magnitude of the magnetic field?
A. \frac{mv}{qr}
B. \frac{mv^2}{qr}
C. \frac{m^2v}{qr}
D. \frac{mv^2}{r^2}
Question 11
A particle of mass 1 kg is moving in a simple harmonic motion with an angular frequency of 2 rad/s. If the particle is displaced from its equilibrium position by 0.5 m, what is the magnitude of the force acting on the particle?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 12
A thermodynamic system undergoes a process from state A to state B, where the internal energy (U) increases by 100 J. If the heat added to the system is 150 J, what is the work done (W) by the system?
A. 50 J
B. 75 J
C. 100 J
D. 125 J
Question 13
A gas expands from an initial volume of 0.1 m^3 to a final volume of 0.5 m^3 at a cons\tant temperature of 300 K. What is the work done by the gas?
A. 50 J
B. 100 J
C. 150 J
D. 200 J
Question 14
A block of mass 5 kg 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 15
A point charge of 5 μC is placed at the center of a circular loop of radius 2 m. What is the electric field at a point on the circumference of the loop?
A. 10^3 N/C
B. 10^4 N/C
C. 10^5 N/C
D. 10^6 N/C

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