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POST UTME REDEEMERS UNIVERSITY 2017 Physics | Objective

Are you preparing for POST UTME REDEEMERS UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2017 Physics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

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 centripetal acceleration?

A. 4 m/s^2

B. 8 m/s^2

Correct C. \frac{16}{3} m/s^2

D. 16 m/s^2

Correct Answer: C

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Question 2

A capacitor consists of two parallel plates, each of area 0.04 m^2, separated by a dis\tance of 0.02 m. The capaci\tance of the capacitor is

Correct A. 1.77 \times 10^{-11} F

B. 1.77 \times 10^{-10} F

C. 1.77 \times 10^{-9} F

D. 1.77 \times 10^{-8} F

Correct Answer: A

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Question 3

A radioactive sample has a half-life of 5 years. If the initial activity is 100 Bq, what is the activity after 10 years?

A. 12.5 Bq

Correct B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: B

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Question 4

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

Correct A. 18.43°

B. 20°

C. 22.62°

D. 30°

Correct Answer: A

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Question 5

A simple harmonic motion has a maximum displacement of 2 m and a frequency of 3 Hz. What is the angular frequency?

Correct A. 18.85 rad/s

B. 20 rad/s

C. 22.62 rad/s

D. 30 rad/s

Correct Answer: A

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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 is subject to a uniform gravitational field of strength $g$, determine the time $t$ at which the particle reaches its maximum height.

Correct A. t = \frac{v_0 \sin \theta}{g}

B. t = \frac{v_0 \cos \theta}{g}

C. t = \frac{v_0 \sin \theta}{g^2}

D. t = \frac{v_0 \cos \theta}{g^2}

Correct Answer: A

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Question 7

A parallel plate capacitor consists of two parallel plates, each of area $A$ and separation $d$. The plates are charged to a potential difference $V$. Determine the capaci\tance $C$ of the capacitor.

Correct A. C = \frac{\varepsilon_0 A}{d}

B. C = \frac{\varepsilon_0 A}{d^2}

C. C = \frac{\varepsilon_0 A^2}{d}

D. C = \frac{\varepsilon_0 A^2}{d^2}

Correct Answer: A

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Question 8

A thermodynamic system undergoes a cyclic process, returning to its initial state. If the system absorbs $Q_1$ and $Q_2$ amounts of heat during the first and second parts of the cycle, respectively, and releases $W_1$ and $W_2$ amounts of work during the first and second parts of the cycle, respectively, determine the change in internal energy $\Delta U$ of the system.

Correct A. \Delta U = Q_1 - W_1 = Q_2 - W_2

B. \Delta U = Q_1 + W_1 = Q_2 + W_2

C. \Delta U = Q_1 - W_2 = Q_2 - W_1

D. \Delta U = Q_1 + W_2 = Q_2 + W_1

Correct Answer: A

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Question 9

A series RLC circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. If the circuit is driven by a \sinusoidal voltage source of frequency $f$ and amplitude $V_0$, determine the impedance $Z$ of the circuit.

Correct A. Z = \sqrt{R^2 + $ X_L - X_C $^2}

B. Z = \sqrt{R^2 + $ X_L + X_C $^2}

C. Z = \sqrt{R^2 - $ X_L - X_C $^2}

D. Z = \sqrt{R^2 - $ X_L + X_C $^2}

Correct Answer: A

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Question 10

A fluid of density $\rho$ and vis\cosity $\mu$ flows through a pipe of radius $r$ and length $L$. If the fluid is subjected to a pressure difference $\Delta P$ between the two \ends of the pipe, determine the volume flow rate $Q$ of the fluid.

Correct A. Q = \frac{\pi r^4 \Delta P}{8 \mu L}

B. Q = \frac{\pi r^4 \Delta P}{4 \mu L}

C. Q = \frac{\pi r^4 \Delta P}{16 \mu L}

D. Q = \frac{\pi r^4 \Delta P}{32 \mu L}

Correct Answer: A

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Question 11

A particle of mass 2.0 kg is moving in a circular path of radius 3.0 m with a cons\tant speed of 4.0 m/s. If the particle is subjected to a centripetal force of 12 N, what is the magnitude of the force?

A. 8.0 N

Correct B. 12 N

C. 16 N

D. 20 N

Correct Answer: B

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Question 12

A heat engine operates between two temperatures of 500 K and 300 K. If the engine produces 1000 J of work, what is the efficiency of the engine?

A. 20%

B. 30%

Correct C. 40%

D. 50%

Correct Answer: C

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Question 13

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the current in the circuit is 2 A, what is the voltage across the 6 Ω resistor?

A. 6 V

Correct B. 8 V

C. 10 V

D. 12 V

Correct Answer: B

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Question 14

A particle of mass 1.0 kg is moving in a straight line with an initial velocity of 5.0 m/s. If the particle experiences a cons\tant acceleration of 2.0 m/s², what is the velocity of the particle after 3.0 s?

A. 7.0 m/s

B. 8.0 m/s

Correct C. 9.0 m/s

D. 10.0 m/s

Correct Answer: C

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Question 15

A heat engine operates between two temperatures of 400 K and 200 K. If the engine produces 800 J of work, what is the efficiency of the engine?

A. 25%

B. 30%

Correct C. 35%

D. 40%

Correct Answer: C

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Question 16

A solid cylindrical block of wood with radius 0.05 m and height 0.2 m is floating in water. If the density of the wood is 600 kg/m³ and the density of water is 1000 kg/m³, what is the volume of the wood block that is submerged?

A. 0.01 m³

Correct B. 0.02 m³

C. 0.03 m³

D. 0.04 m³

Correct Answer: B

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Question 17

A particle of mass 0.5 kg is moving in a circular path with a cons\tant speed of 2 m/s. If the radius of the path is 1.5 m, what is the magnitude of the force acting on the particle?

A. 0.5 N

B. 1.0 N

Correct C. 1.5 N

D. 2.0 N

Correct Answer: C

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Question 18

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. 30°

Correct C. 40°

D. 50°

Correct Answer: C

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Question 19

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the current flowing through the circuit?

A. 0.5 A

B. 1.0 A

Correct C. 1.5 A

D. 2.0 A

Correct Answer: C

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Question 20

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. What is the maximum height reached by the projectile?

A. 10 m

Correct B. 15 m

C. 20 m

D. 25 m

Correct Answer: B

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Question 21

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 motion is simple harmonic, calculate the maximum speed of the block as it passes through the equilibrium position.

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 22

A parallel plate capacitor consists of two plates, each of area 0.04 m^2, separated by a dis\tance of 0.02 m. The capacitor is charged to a potential difference of 10 V. Calculate the capaci\tance of the capacitor.

A. 0.02 F

Correct B. 0.04 F

C. 0.06 F

D. 0.08 F

Correct Answer: B

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Question 23

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. Calculate the magnitude of the centripetal acceleration of the particle.

A. 2 m/s^2

B. 4 m/s^2

Correct C. 6 m/s^2

D. 8 m/s^2

Correct Answer: C

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Question 24

A radioactive sample decays at a rate of 0.02% per hour. If the initial mass of the sample is 100 g, calculate the mass of the sample after 5 hours.

A. 90 g

B. 92 g

C. 94 g

Correct D. 96 g

Correct Answer: D

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Question 25

A 100 V, 10 A AC supply is connected to a 20 ohm resistor. Calculate the power consumed by the resistor.

A. 200 W

B. 400 W

C. 600 W

Correct D. 800 W

Correct Answer: D

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