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POST UTME RSU 2018 Physics | Objective

Are you preparing for POST UTME RSU exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2018 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

A 2.5 mH inductor is connected in series with a 5.0 μF capacitor across a 12 V AC source. If the frequency of the source is 50 Hz, calculate the impedance of the circuit.

A. ( 5.0 Omega )

Correct B. ( 10.0 Omega )

C. ( 15.0 Omega )

D. ( 20.0 Omega )

Correct Answer: B

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Question 2

A radioactive sample has a half-life of 10 minutes. If the initial activity is 1000 Bq, calculate the activity after 30 minutes.

A. ( 100 ) Bq

B. ( 200 ) Bq

Correct C. ( 300 ) Bq

D. ( 400 ) Bq

Correct Answer: C

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Question 3

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 4

A magnetic field is produced by a current-carrying wire. If the current is 2 A and the wire is 0.5 m long, calculate the magnetic field strength at a dis\tance of 1 m from the wire.

A. ( 0.1 ) T

B. ( 0.2 ) T

Correct C. ( 0.3 ) T

D. ( 0.4 ) T

Correct Answer: C

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Question 5

A vector has a magnitude of 5 units and makes an angle of 30° with the x-axis. Calculate the x-component of the vector.

A. ( 2.5 ) units

Correct B. ( 3.0 ) units

C. ( 3.5 ) units

D. ( 4.0 ) units

Correct Answer: B

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Question 6

A parallel plate capacitor has plates of area $A$ and separation $d$. The capaci\tance is given by $C = \frac{epsilon_0 A}{d}$. If the area is doubled and the separation is halved, what is the new capaci\tance?

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

B. $\frac{2\epsilon_0 A}{d}$

C. $\frac{\epsilon_0 A}{2d}$

Correct D. $\frac{4\epsilon_0 A}{d}$

Correct Answer: D

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Question 7

A ray of light passes through a prism and is re\fracted. If the angle of incidence is $30^\circ$ and the angle of re\fraction is $60^\circ$, what is the angle of deviation?

A. $30^\circ$

B. $60^\circ$

Correct C. $90^\circ$

D. $120^\circ$

Correct Answer: C

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Question 8

A circuit consists of a resistor $R$ and an inductor $L$ connected in series. If the resis\tance is $10\,\Omega$ and the inductive reac\tance is $20\,\Omega$, what is the impedance of the circuit?

A. $10\,\Omega$

B. $20\,\Omega$

Correct C. $30\,\Omega$

D. $40\,\Omega$

Correct Answer: C

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Question 9

A vector $mathbf{a}$ has a magnitude of $5$ and makes an angle of $60^\circ$ with the positive $x$-axis. If a vector $mathbf{b}$ has a magnitude of $3$ and makes an angle of $30^\circ$ with the positive $y$-axis, what is the magnitude of the sum of the two vectors?

A. $4$

B. $5$

Correct C. $6$

D. $7$

Correct Answer: C

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Question 10

A capacitor has a capaci\tance of $10\,\mu F$. If a voltage of $20\,V$ is applied across it, what is the charge stored?

A. $0.2\,C$

Correct B. $0.4\,C$

C. $0.6\,C$

D. $0.8\,C$

Correct Answer: B

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Question 11

A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 20 V is applied across the plates, calculate the charge stored on the capacitor.

A. 200 μC

Correct B. 400 μC

C. 600 μC

D. 800 μC

Correct Answer: B

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Question 12

A block of mass 5 kg is attached to a horizontal 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. Calculate the maximum speed of the block.

A. 2 m/s

B. 4 m/s

Correct C. 6 m/s

D. 8 m/s

Correct Answer: C

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Question 13

A heat engine operates between two reservoirs at temperatures 500 K and 300 K. If the engine absorbs 100 J of heat from the high-temperature reservoir, calculate the efficiency of the engine.

A. 0.25

Correct B. 0.30

C. 0.35

D. 0.40

Correct Answer: B

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Question 14

A magnetic field of magnitude 0.5 T is directed perp\endicular to the plane of a circular loop of radius 0.1 m. If the loop carries a current of 2 A, calculate the torque experienced by the loop.

A. 0.01 Nm

B. 0.02 Nm

Correct C. 0.03 Nm

D. 0.04 Nm

Correct Answer: C

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Question 15

A gas expands from an initial volume of 0.5 m^3 to a final volume of 1.5 m^3 against an external pressure of 2 atm. If the gas undergoes an isothermal process, calculate the work done by the gas.

A. 150 J

B. 300 J

Correct C. 450 J

D. 600 J

Correct Answer: C

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Question 16

A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 12 V is applied across the plates, calculate the charge stored on the capacitor.

Correct A. 0.12 C

B. 0.24 C

C. 0.36 C

D. 0.48 C

Correct Answer: A

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Question 17

A ray of light passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.

A. 20°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

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Question 18

A simple harmonic motion has a time period of 2 s. If the amplitude is 5 cm, calculate the maximum velocity of the particle.

A. 0.5 m/s

Correct B. 1.0 m/s

C. 1.5 m/s

D. 2.0 m/s

Correct Answer: B

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Question 19

A radioactive subs\tance has a half-life of 10 years. If the initial activity is 100 Bq, calculate the activity after 20 years.

Correct A. 12.5 Bq

B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: A

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Question 20

A lens of focal length 20 cm is used to form an image of an object placed 30 cm away. Calculate the magnification of the image.

A. -1

Correct B. -0.5

C. 0.5

D. 1

Correct Answer: B

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Question 21

A gas is heated from 300 K to 400 K at cons\tant volume. Calculate the change in the number of moles of the gas u\sing the ideal gas law.

Correct A. 0.2

B. 0.3

C. 0.4

D. 0.5

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. The block is displaced by 0.1 m from its equilibrium position and released from rest. Calculate the angular frequency of the resulting simple harmonic motion.

A. 10 rad/s

Correct B. 20 rad/s

C. 30 rad/s

D. 40 rad/s

Correct Answer: B

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Question 23

A 5 m long wire is carrying a current of 2 A. The magnetic field at a point 0.5 m from the wire is measured to be 0.02 T. Calculate the direction of the magnetic field u\sing the right-hand rule.

Correct A. Into the page

B. Out of the page

C. Along the wire

D. Perp\endicular to the wire

Correct Answer: A

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Question 24

A 1000 W heater is used to heat a 5 kg block of copper from 20°C to 80°C. Calculate the time taken to heat the block u\sing the formula Q = mcΔT.

A. 10 s

Correct B. 20 s

C. 30 s

D. 40 s

Correct Answer: B

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Question 25

A 2 m long rod is pivoted at one \end and is free to rotate in a vertical plane. A 0.5 kg mass is attached to the other \end of the rod. The rod is displaced by 0.1 m from its equilibrium position and released from rest. Calculate the angular frequency of the resulting simple p\endulum motion.

A. 10 rad/s

Correct B. 20 rad/s

C. 30 rad/s

D. 40 rad/s

Correct Answer: B

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