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POST UTME UNILORIN 2019 Physics | Objective

Are you preparing for POST UTME UNILORIN exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2019 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

A particle of mass 2.0 kg is moving in a circular path with a radius of 3.0 m. If the particle's speed is 4.0 m/s, what is its angular velocity?

Correct A. \( \frac{4}{3} \) rad/s

B. \( \frac{3}{4} \) rad/s

C. \( \frac{4}{3} \) rad/s

D. \( \frac{3}{4} \) rad/s

Correct Answer: A

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Question 2

A 5.0 Ω resistor and a 10.0 Ω resistor are connected in parallel. If a 12.0 V battery is connected across the combination, what is the total current drawn from the battery?

Correct A. \( \frac{12}{15} \) A

B. \( \frac{12}{15} \) A

C. \( \frac{12}{15} \) A

D. \( \frac{12}{15} \) A

Correct Answer: A

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Question 3

A gas at 300 K has a volume of 2.0 L. If the temperature is increased to 400 K and the volume is increased to 3.0 L, what is the new pressure?

Correct A. \( \frac{3}{2} \) atm

B. \( \frac{3}{2} \) atm

C. \( \frac{3}{2} \) atm

D. \( \frac{3}{2} \) atm

Correct Answer: A

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Question 4

A particle of mass 1.0 kg is moving in a circular path with a radius of 2.0 m. If the particle's speed is 5.0 m/s, what is its angular momentum?

Correct A. \( \frac{10}{pi} \) kg m^2/s

B. \( \frac{10}{pi} \) kg m^2/s

C. \( \frac{10}{pi} \) kg m^2/s

D. \( \frac{10}{pi} \) kg m^2/s

Correct Answer: A

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Question 5

A 10.0 Ω resistor is connected in series with a 20.0 Ω resistor. If a 15.0 V battery is connected across the combination, what is the total current drawn from the battery?

Correct A. \( \frac{15}{30} \) A

B. \( \frac{15}{30} \) A

C. \( \frac{15}{30} \) A

D. \( \frac{15}{30} \) A

Correct Answer: A

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Question 6

A thermodynamic system undergoes a cyclic process, where the net change in its internal energy is zero. If the system absorbs 500 J of heat energy from its surroundings during one cycle, what is the work done by the system during the cycle?

Correct A. -500 J

B. 500 J

C. 0 J

D. 1000 J

Correct Answer: A

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Question 7

A magnetic field is produced by a current-carrying wire. If the current in the wire is 2 A and the length of the wire is 0.5 m, what is the magnetic field strength at a point 0.2 m away from the wire?

A. 0.1 T

Correct B. 0.2 T

C. 0.3 T

D. 0.4 T

Correct Answer: B

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Question 8

A gas is contained in a cylinder with a movable piston. If the gas is heated, what is the change in the volume of the gas if the initial volume is 2 L and the final temperature is 300 K, given that the initial temperature is 200 K?

A. 0 L

B. 1 L

Correct C. 2 L

D. 3 L

Correct Answer: C

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Question 9

A 100 V AC supply is connected to a circuit containing a resistor and an inductor in series. If the resis\tance is 50 Ω and the inductive reac\tance is 30 Ω, what is the impedance of the circuit?

A. 50 Ω

B. 60 Ω

Correct C. 70 Ω

D. 80 Ω

Correct Answer: C

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Question 10

A sound wave has a frequency of 200 Hz and a wavelength of 0.5 m. What is the speed of the sound 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 11

A particle of mass 2 kg is attached to a spring with spring cons\tant 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. 10 rad/s

Correct B. 20 rad/s

C. 30 rad/s

D. 40 rad/s

Correct Answer: B

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Question 12

A projectile is launched from the ground with an initial velocity of 50 m/s at an angle of 60° above the horizontal. Assuming the only force acting on the projectile is gravity, calculate the time it takes for the projectile to reach its maximum height.

A. 1.5 s

Correct B. 2.0 s

C. 2.5 s

D. 3.0 s

Correct Answer: B

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Question 13

A capacitor consists of two parallel plates, each of area 0.01 m^2, separated by a dis\tance of 0.001 m. The plates are charged to a potential difference of 10 V. Calculate the capaci\tance of the capacitor.

Correct A. 0.01 F

B. 0.1 F

C. 1 F

D. 10 F

Correct Answer: A

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Question 14

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 0.1 H inductor in series. Calculate the inductive reac\tance of the circuit.

A. 2 Ω

Correct B. 4 Ω

C. 6 Ω

D. 8 Ω

Correct Answer: B

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Question 15

A vector α has a magnitude of 5 units and makes an angle of 30° with the positive 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 16

A radioactive sample of Uranium-238 undergoes \alpha decay to form Thorium-234. If the half-life of Uranium-238 is 4.5 billion years, what is the decay cons\tant (λ) in s^-1?

Correct A. 1.54 × 10^-18 s^-1

B. 1.54 × 10^-17 s^-1

C. 1.54 × 10^-16 s^-1

D. 1.54 × 10^-15 s^-1

Correct Answer: A

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Question 17

A convex lens of focal length 20 cm is placed in front of a screen. An object is placed 30 cm in front of the lens. What is the magnification of the image formed on the screen?

A. 1

B. -1

Correct C. 2

D. -2

Correct Answer: C

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Question 18

A particle of mass 2 kg is attached to a spring with spring cons\tant 100 N/m. The particle is displaced by 0.2 m from its equilibrium position and released from rest. What is the angular frequency (ω) of the 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 19

A force of 10 N acts on an object, cau\sing it to accelerate at 2 m/s^2. What is the mass of the object?

A. 5 kg

Correct B. 10 kg

C. 15 kg

D. 20 kg

Correct Answer: B

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Question 20

A 5 kg object is moving in a circular path with a radius of 2 m. If the object's speed is 4 m/s, what is the centripetal acceleration?

A. 0.8 m/s^2

B. 1.6 m/s^2

Correct C. 2.4 m/s^2

D. 3.2 m/s^2

Correct Answer: C

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Question 21

A 1000-turn coil of wire is placed in a magnetic field with a flux density of 0.1 T. If the coil is rotated through an angle of 90°, calculate the change in magnetic flux.

Correct A. 0.1 T

B. 10 T

C. 100 T

D. 1000 T

Correct Answer: A

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Question 22

A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. If the particle is subjected to a centripetal force of 10 N, calculate the time period of the particle's motion.

A. 2 s

Correct B. 4 s

C. 6 s

D. 8 s

Correct Answer: B

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Question 23

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

A. 4 L

Correct B. 6 L

C. 8 L

D. 10 L

Correct Answer: B

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Question 24

A wave with a frequency of 50 Hz and a wavelength of 10 m is traveling through a medium. If the wave is reflected off a surface, calculate the time taken for the wave to return to its original position.

A. 0.1 s

Correct B. 0.2 s

C. 0.3 s

D. 0.4 s

Correct Answer: B

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Question 25

A coil of wire with an induc\tance of 10 mH is connected to a battery of 12 V. If the current in the coil is 2 A, calculate the energy stored in the coil.

A. 0.1 J

Correct B. 0.2 J

C. 0.3 J

D. 0.4 J

Correct Answer: B

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