POST UTME DELSU 2021 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A light ray passes from air into a glass block with a re\fractive index of 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 2
A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 50 Ω resistor connected in series. If a voltage of 120 V is applied across the circuit, what is the current flowing through the 20 Ω resistor?
A. 2 A
B. 4 A
C. 6 A
D. 8 A
Question 3
A particle of mass $m$ is moving in a circular path of radius $R$ with a cons\tant speed $v$. The particle is subject to a centripetal force $F_c$ given by $F_c = \frac{mv^2}{R}$. If the particle's speed is doubled to $2v$, what is the new centripetal force $F_c'$?
A. \frac{2mv^2}{R}
B. \frac{mv^2}{2R}
C. \frac{mv^2}{4R}
D. \frac{mv^2}{R}
Question 4
A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. What is the centripetal force acting on the particle?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 5
A radioactive sample has a half-life of 5 years. If the initial activity of the sample is 100 Bq, what is the activity after 10 years?
A. 10 Bq
B. 20 Bq
C. 50 Bq
D. 100 Bq
Question 6
A particle of mass 1 kg is moving in a circular path of radius 2 m with a cons\tant speed of 3 m/s. If the particle is subjected to a centripetal force of 9 N, what is the magnitude of the acceleration of the particle?
A. 3 m/s^2
B. 6 m/s^2
C. 9 m/s^2
D. 12 m/s^2
Question 7
A light wave has a frequency of $f$ and a wavelength of $\lambda$. What is the speed of the wave?
A. v = f\lambda
B. v = \frac{f}{\lambda}
C. v = f^2\lambda
D. v = \frac{f^2}{\lambda}
Question 8
A 200 Ω resistor is connected in parallel with a 100 Ω resistor. What is the equivalent resis\tance of the circuit?
A. 100 Ω
B. 150 Ω
C. 200 Ω
D. 250 Ω
Question 9
A p\endulum of length $L$ and mass $m$ is released from rest at an angle $\theta$ from the vertical. Assuming the p\endulum undergoes simple harmonic motion, what is the period $T$ of the p\endulum?
A. 2\pi\sqrt{\frac{L}{g}}
B. \pi\sqrt{\frac{L}{g}}
C. \frac{1}{2}\pi\sqrt{\frac{L}{g}}
D. \frac{1}{4}\pi\sqrt{\frac{L}{g}}
Question 10
A block of mass $m$ is attached to a horizontal, massless spring with a spring cons\tant $k$. The block is displaced by a dis\tance $x$ from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, what is the maximum speed $v_{max}$ of the block?
A. \sqrt{\frac{k}{m}}x
B. \frac{1}{2}kx^2
C. \sqrt{\frac{m}{k}}x
D. \frac{1}{2}mx^2
Question 11
A 100 W light bulb operates at a voltage of 120 V. Calculate the resis\tance of the bulb.
A. 10 Ω
B. 20 Ω
C. 30 Ω
D. 40 Ω
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 0.2 m from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, calculate the maximum speed of the block as it passes through the equilibrium position.
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 13
A container of volume $V$ is filled with a gas at a temperature $T$ and a pressure $P$. If the temperature is increased to $T + \Delta T$ and the pressure is increased to $P + \Delta P$, what is the new volume $V'$ of the gas?
A. \frac{P + \Delta P}{T + \Delta T}
B. \frac{P}{T + \Delta T}
C. \frac{P + \Delta P}{T}
D. \frac{P}{T + \Delta T}
Question 14
A light ray passes through a prism and is re\fracted. If the angle of incidence is $i$ and the angle of re\fraction is $r$, what is the angle of deviation?
A. \Delta = i + r
B. \Delta = i - r
C. \Delta = r - i
D. \Delta = i + 2r
Question 15
A circuit consists of a battery, a resistor, and an inductor connected in series. The circuit is driven by a \sinusoidal voltage source with a frequency $f$ and an amplitude $V_0$. If the inductor has an induc\tance $L$ and the resistor has a resis\tance $R$, what is the impedance $Z$ of the circuit?
A. \sqrt{R^2 + \( \omega L \)^2}
B. \frac{R}{\omega L}
C. \frac{\omega L}{R}
D. \frac{R + \omega L}{\omega L}

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