POST UTME NILE UNIVERSITY 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A current of $I$ flows through a wire of resis\tance $R$. If the wire is heated for a time $t$, what is the energy dissipated?
A. I^2Rt
B. \frac{I^2Rt}{2}
C. I^2Rt
D. \frac{I^2Rt}{2}
Question 2
A 50 Hz AC source is connected to a 10 Ω resistor in series with a 20 μF capacitor. Calculate the reac\tance of the capacitor.
A. 10 Ω
B. 20 Ω
C. 30 Ω
D. 40 Ω
Question 3
A 100 W light bulb is connected to a 230 V AC source. Calculate the current drawn by the bulb.
A. 0.5 A
B. 1 A
C. 2 A
D. 4 A
Question 4
A 50 Hz AC voltage is applied to a circuit with a resis\tance of 10 Ω and an inductive reac\tance of 20 Ω. If the initial current is 0 A, find the current after 0.05 s.
A. 0.5 A
B. 1.2 A
C. 2.5 A
D. 3.8 A
Question 5
A 10 V AC source is connected to a 20 Ω resistor in series with a 10 μF capacitor. Calculate the impedance of the circuit.
A. 22 Ω
B. 24 Ω
C. 26 Ω
D. 28 Ω
Question 6
A particle of mass $m$ is projected from the origin with an initial velocity $v_0$ at an angle $\theta$ to the horizontal. If the particle experiences a uniform gravitational field of strength $g$, what is the time taken for the particle to reach its maximum height?
A. \frac{v_0\sin\theta}{g}
B. \frac{v_0\cos\theta}{g}
C. \frac{v_0\sin\theta}{g}
D. \frac{v_0\cos\theta}{g}
Question 7
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 angular frequency of the particle's motion.
A. 5 rad/s
B. 10 rad/s
C. 20 rad/s
D. 50 rad/s
Question 8
A circuit consists of a resistor of resis\tance $R$ and an inductor of induc\tance $L$ connected in series. If the circuit is driven by a \sinusoidal voltage source of amplitude $V_0$ and frequency $f$, what is the impedance of the circuit?
A. \sqrt{R^2 + \( 2\pi fL \)^2}
B. \frac{R}{2\pi fL}
C. \sqrt{R^2 + \( 2\pi fL \)^2}
D. \frac{2\pi fL}{R}
Question 9
A ray of light passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 25°
C. 30°
D. 35°
Question 10
A light source is placed 2 m away from a convex lens of focal length 1 m. If the light source is moved 1 m closer to the lens, what is the new image dis\tance?
A. 1 m
B. 2 m
C. 3 m
D. 4 m
Question 11
A particle of mass 1 kg is moving in a circular path with a cons\tant speed of 3 m/s. If the radius of the circular path is 2 m, calculate the magnitude of the centripetal force.
A. 3 N
B. 6 N
C. 9 N
D. 12 N
Question 12
A nucleus with mass number 240 and atomic number 94 undergoes \alpha decay. What is the mass number of the daughter nucleus?
A. 238
B. 240
C. 242
D. 244
Question 13
A gas is heated from 300 K to 400 K at cons\tant volume. If the initial pressure is 1 atm, find the final pressure.
A. 1.33 atm
B. 1.67 atm
C. 2 atm
D. 2.5 atm
Question 14
A lens of focal length 20 cm is used to form an image of an object placed 30 cm from the lens. What is the magnification of the image?
A. -1
B. -2
C. -3
D. -4
Question 15
A 5 kg block is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. If the block is displaced by 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

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