POST UTME COAL CITY UNIVERSITY 2025 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A body is moving in a straight line with an initial velocity of 10 m/s and a uniform acceleration of 2 m/s^2. What is the velocity of the body after 5 seconds?
A. 10 m/s
B. 15 m/s
C. 20 m/s
D. 25 m/s
Question 2
A thermodynamic system undergoes a process from an initial state (i) to a final state (f). The process is described by the equation \( Delta U = Q - W \), where ( Delta U ) is the change in internal energy, ( Q ) is the heat added to the system, and ( W ) is the work done by the system. If the system undergoes an isothermal expansion, what is the relationship between ( Q ) and ( W )?
A. Q = W
B. Q = -W
C. Q = 0
D. W = 0
Question 3
A particle of mass $m$ is projected from the origin with an initial velocity $v_0$ at an angle $\theta$ to the horizontal. Assuming the particle experiences a uniform gravitational field of strength $g$, determine the time $t$ at which the particle reaches its maximum height.
A. \frac{v_0 \sin \theta}{g}
B. \frac{v_0 \cos \theta}{g}
C. \frac{v_0 \sin \theta}{g^2}
D. \frac{v_0 \cos \theta}{g^2}
Question 4
A magnetic field of 2 T is applied to a current-carrying wire of length 1 m. If the current in the wire is 5 A, what is the force experienced by the wire?
A. 10 N
B. 15 N
C. 20 N
D. 25 N
Question 5
A beam of light passes from air into a glass slab of re\fractive index \( mu = 1.5 \). If the angle of incidence is \( 30^{circ} \), what is the angle of re\fraction?
A. 20^{circ}
B. 25^{circ}
C. 30^{circ}
D. 35^{circ}
Question 6
A lens of focal length $f$ is placed in a beam of light. If the object dis\tance is $u$ and the image dis\tance is $v$, determine the magnification of the lens.
A. \frac{v}{u}
B. \frac{u}{v}
C. \frac{f}{u}
D. \frac{f}{v}
Question 7
A heat engine operates between a high-temperature reservoir at 500 K and a low-temperature reservoir at 300 K. If the engine has an efficiency of 30%, what is the maximum possible work output of the engine?
A. 1000 J
B. 1500 J
C. 2000 J
D. 2500 J
Question 8
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. 10 m/s^2
B. 12 m/s^2
C. 15 m/s^2
D. 20 m/s^2
Question 9
A radioactive sample has a half-life of 5 years. If the initial activity of the sample is 1000 Bq, what is the activity of the sample after 10 years?
A. 250 Bq
B. 500 Bq
C. 750 Bq
D. 1000 Bq
Question 10
A 100 W bulb is connected to a 220 V power source. What is the current drawn by the bulb?
A. 0.45 A
B. 0.55 A
C. 0.65 A
D. 0.75 A
Question 11
A gas of molecules with mass $m$ and charge $q$ is contained in a box of volume $V$. If the temperature of the gas is $T$, determine the average kinetic energy of the molecules.
A. \frac{3}{2} k_B T
B. \frac{1}{2} k_B T
C. k_B T
D. \frac{1}{2} m v^2
Question 12
A heat engine operates between two temperatures of 300 K and 400 K. If the efficiency of the engine is 30%, what is the temperature of the hot reservoir?
A. 300 K
B. 400 K
C. 428.57 K
D. 500 K
Question 13
A particle of mass ( m ) is confined to a one-dimensional box of length ( L ). The energy levels of the particle are given by the equation \( E_n = \frac{n^2 h^2}{8mL^2} \). If the particle is in the ground state, what is the energy of the particle?
A. \( \frac{h^2}{8mL^2} \)
B. \( \frac{h^2}{4mL^2} \)
C. \( \frac{h^2}{2mL^2} \)
D. \( \frac{h^2}{mL^2} \)
Question 14
A circuit consists of a 12 V battery, a 4 Ω resistor, and an inductor of 2 H in series. If the current in the circuit is 2 A, what is the voltage drop across the inductor?
A. 8 V
B. 10 V
C. 12 V
D. 14 V
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. What is the magnitude of the force acting on the particle?
A. 10 N
B. 12 N
C. 14 N
D. 16 N

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