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POST UTME OSUSTECH 2023 Physics | Objective

Are you preparing for POST UTME OSUSTECH exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2023 Physics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

A 1000 W heater is used to heat a 5 kg block of copper from 20°C to 80°C. Assuming the specific heat capacity of copper is 0.385 J/g°C, calculate the time taken to heat the block to the desired temperature.

A. 10 minutes

B. 20 minutes

Correct C. 30 minutes

D. 40 minutes

Correct Answer: C

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Question 2

A light ray passes through a prism and is re\fracted at an angle of incidence of 30°. If the angle of re\fraction is 20°, and the angle of the prism is 60°, calculate the re\fractive index of the prism.

A. 1.2

Correct B. 1.5

C. 1.8

D. 2.0

Correct Answer: B

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Question 3

A 2 m long wire has a resis\tance of 10 Ω. If a current of 5 A flows through the wire, calculate the power dissipated by the wire.

A. 25 W

Correct B. 50 W

C. 75 W

D. 100 W

Correct Answer: B

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Question 4

A sound wave has a frequency of 200 Hz and a wavelength of 1.5 m. Calculate the speed of the sound wave.

A. 300 m/s

B. 400 m/s

Correct C. 500 m/s

D. 600 m/s

Correct Answer: C

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Question 5

A 1000 W heater is used to heat a 5 kg block of copper from 20°C to 80°C. Assuming the specific heat capacity of copper is 0.385 J/g°C, calculate the energy required to heat the block to the desired temperature.

A. 2500 J

B. 5000 J

Correct C. 7500 J

D. 10000 J

Correct Answer: C

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Question 6

A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. The particle is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the maximum speed of the particle.

A. 2 m/s

Correct B. 4 m/s

C. 6 m/s

D. 8 m/s

Correct Answer: B

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Question 7

A wave has a frequency of 50 Hz and a wavelength of 2 m. Calculate the speed of the wave.

A. 100 m/s

Correct B. 200 m/s

C. 300 m/s

D. 400 m/s

Correct Answer: B

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Question 8

A gas is heated from 300 K to 400 K at cons\tant volume. Calculate the change in internal energy of the gas.

A. 100 J

B. 200 J

Correct C. 300 J

D. 400 J

Correct Answer: C

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Question 9

A body is in equilibrium under the action of two forces, one of 5 N and the other of 10 N. Calculate the angle between the forces.

A. 30°

B. 45°

Correct C. 60°

D. 75°

Correct Answer: C

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Question 10

A sound wave has a frequency of 200 Hz and a speed of 340 m/s. Calculate the wavelength of the wave.

A. 1.7 m

B. 1.8 m

C. 1.9 m

Correct D. 2.0 m

Correct Answer: D

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Question 11

A particle of mass $m$ is attached to a spring with spring cons\tant $k$. The particle is displaced from its equilibrium position by a dis\tance $x_0$ and released from rest. Assuming the motion is simple harmonic, find the angular frequency $omega$ in terms of $k$ and $m$.

A. \omega = \frac{k}{m}

B. \omega = \sqrt{\frac{m}{k}}

C. \omega = \frac{m}{k}

Correct D. \omega = \sqrt{\frac{k}{m}}

Correct Answer: D

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Question 12

A gas is compressed from an initial volume of $V_i$ to a final volume of $V_f$ at a cons\tant temperature of $T$. Assuming the gas obeys the ideal gas law, find the work done on the gas in terms of $p_i$, $V_i$, and $V_f$.

A. W = nRT \ln\left$ \frac{V_f}{V_i}\right $

B. W = -nRT \ln\left$ \frac{V_i}{V_f}\right $

C. W = nRT \ln\left$ \frac{V_i}{V_f}\right $

Correct D. W = -nRT \ln\left$ \frac{V_f}{V_i}\right $

Correct Answer: D

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Question 13

A projectile is launched from the origin with an initial velocity $v_0$ at an angle of $\theta$ above the horizontal. Assuming the only force acting on the projectile is gravity, find the time of flight $t_f$ in terms of $v_0$, $\theta$, and $g$.

A. t_f = \frac{v_0 \sin\theta}{g}

B. t_f = \frac{2v_0 \cos\theta}{g}

C. t_f = \frac{v_0 \cos\theta}{g}

Correct D. t_f = \frac{2v_0 \sin\theta}{g}

Correct Answer: D

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Question 14

A wave with frequency $f$ and amplitude $A$ is traveling through a medium with speed $v$. Assuming the wave is a \sinusoidal wave, find the angular frequency $\omega$ in terms of $f$ and $v$.

A. \omega = \frac{2\pi f}{v}

Correct B. \omega = 2\pi f

C. \omega = \frac{v}{2\pi f}

D. \omega = 2\pi v

Correct Answer: B

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Question 15

A particle of mass $m$ is in a one-dimensional potential energy function $U(x) = \frac{1}{2}kx^2$. Assuming the particle is in a state of definite energy $E$, find the expectation value of the position $\langle x \rangle$ in terms of $k$, $E$, and $m$.

A. \langle x \rangle = \frac{E}{m}

B. \langle x \rangle = \frac{m}{k}

Correct C. \langle x \rangle = \frac{E}{k}

D. \langle x \rangle = \frac{k}{E}

Correct Answer: C

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Question 16

A block of mass $m$ is susp\ended from a spring with spring cons\tant $k$. The block is displaced by a dis\tance $x$ from its equilibrium position and released from rest. Assuming the motion is simple harmonic, find the angular frequency of the block's motion.

Correct A. \sqrt{\frac{k}{m}}

B. \frac{k}{m}

C. \frac{m}{k}

D. \frac{1}{\sqrt{mk}}

Correct Answer: A

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Question 17

A parallel plate capacitor has plates of area $A$ and separation $d$. The capacitor is connected to a battery of voltage $V$. Find the capaci\tance of the capacitor.

Correct A. \frac{\epsilon_0 A}{d}

B. \frac{\epsilon_0 d}{A}

C. \frac{A}{\epsilon_0 d}

D. \frac{d}{\epsilon_0 A}

Correct Answer: A

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Question 18

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 of frequency $\omega$. Find the impedance of the circuit.

Correct A. \sqrt{R^2 + $ \omega L - \frac{1}{\omega C} $^2}

B. \sqrt{R^2 - $ \omega L - \frac{1}{\omega C} $^2}

C. \sqrt{$ \omega L - \frac{1}{\omega C} $^2 - R^2}

D. \sqrt{$ \omega L + \frac{1}{\omega C} $^2 - R^2}

Correct Answer: A

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Question 19

A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. Find the magnitude of the force acting on the particle.

Correct A. \frac{mv^2}{r}

B. \frac{mr^2}{v}

C. \frac{v^2}{mr}

D. \frac{r}{mv^2}

Correct Answer: A

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Question 20

A heat engine operates between two temperatures $T_1$ and $T_2$. The engine has an efficiency of $\eta$. Find the temperature of the hot reservoir.

Correct A. 1 - \frac{T_2}{T_1}

B. \frac{T_2}{T_1}

C. T_1 - T_2

D. T_2 - T_1

Correct Answer: A

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Question 21

A radioactive sample emits \alpha particles with a half-life of 5 days. If the initial activity is 100 Bq, what is the activity after 10 days?

Correct A. 12.5 Bq

B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: A

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Question 22

A 2 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, what is its maximum speed?

A. 2 m/s

Correct B. 4 m/s

C. 6 m/s

D. 8 m/s

Correct Answer: B

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Question 23

A gas occupies a volume of 2 L at a pressure of 1 atm and a temperature of 300 K. If the pressure is increased to 2 atm, what is the new volume?

A. 1 L

B. 2 L

C. 4 L

Correct D. 8 L

Correct Answer: D

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Question 24

A particle moves in a circular path with a radius of 0.5 m and a speed of 2 m/s. What is its centripetal acceleration?

A. 2 m/s^2

B. 4 m/s^2

C. 6 m/s^2

Correct D. 8 m/s^2

Correct Answer: D

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Question 25

A 5 kg block is pulled up a 2 m high incline with a force of 10 N. What is the work done on the block?

A. 20 J

B. 40 J

Correct C. 60 J

D. 80 J

Correct Answer: C

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