Practice post utme uniben physics 2020 Past Questions

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. If the particle is subjected to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?

A. 10 m/s^2

Correct B. 12 m/s^2

C. 15 m/s^2

D. 20 m/s^2

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 2

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

A. 20°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 3

A simple harmonic motion has a maximum displacement of 2 m and a time period of 4 s. What is the angular frequency of the motion?

A. 0.5 rad/s

B. 1 rad/s

Correct C. 2 rad/s

D. 4 rad/s

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 4

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

B. 15 m

Correct C. 20 m

D. 25 m

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 5

A thermodynamic system is in thermal equilibrium with its surroundings. If the temperature of the surroundings is 300 K, what is the temperature of the system?

A. 250 K

Correct B. 300 K

C. 350 K

D. 400 K

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 6

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 maximum kinetic energy of the particle.

A. 10 J

Correct B. 20 J

C. 30 J

D. 40 J

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 7

A 5 μF capacitor is connected in series with a 10 kΩ resistor and a 20 V battery. Calculate the time cons\tant of the circuit.

A. 0.1 s

Correct B. 0.2 s

C. 0.5 s

D. 1 s

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 8

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

A. 10°

B. 20°

Correct C. 30°

D. 40°

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 9

A car is traveling at a speed of 20 m/s. If the driver applies the brakes and the car comes to a stop in 5 s, calculate the acceleration of the car.

A. -2 m/s²

B. -4 m/s²

Correct C. -6 m/s²

D. -8 m/s²

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 10

A 10 μF capacitor is connected in parallel with a 20 μF capacitor. Calculate the equivalent capaci\tance of the circuit.

A. 10 μF

B. 20 μF

Correct C. 30 μF

D. 40 μF

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 11

A 2 kg block of ice at 0°C is placed in a 10°C water bath. Assuming the specific heat capacity of water is 4.184 J/g°C and the latent heat of fusion of ice is 334 J/g, calculate the energy required to melt the ice completely.

A. 20000 J

B. 25000 J

Correct C. 30000 J

D. 35000 J

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 12

A magnetic field of 0.5 T is applied to a coil of wire with 100 turns. If the coil has a resis\tance of 5 Ω, calculate the induced emf when the current through the coil is 2 A.

A. 0.5 V

Correct B. 1 V

C. 2 V

D. 5 V

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 13

A particle of mass 0.5 kg is moving in a circular path with a radius of 2 m. If the particle has a velocity of 4 m/s, calculate the centripetal force acting on the particle.

A. 2 N

Correct B. 4 N

C. 6 N

D. 8 N

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 14

A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If a voltage of 12 V is applied across the circuit, calculate the current flowing through the circuit.

A. 0.5 A

B. 1 A

Correct C. 2 A

D. 3 A

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 15

A 5 kg block is attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position, calculate the potential energy stored in the spring.

A. 100 J

B. 200 J

Correct C. 300 J

D. 400 J

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 16

A thermodynamic system undergoes a process from state A to state B. The initial temperature is 300 K, and the final temperature is 400 K. If the process is isothermal, what is the change in entropy?

A. 10 J/K

B. 20 J/K

Correct C. 30 J/K

D. 40 J/K

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 17

A gas is confined to a cylinder with a movable piston. The gas is heated, and the piston moves up. What is the direction of the force exerted by the gas on the piston?

Correct A. Up

B. Down

C. Left

D. Right

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 18

A coil of wire is connected to an AC source. The frequency of the source is 50 Hz, and the resis\tance of the coil is 10 ohms. What is the impedance of the coil?

A. 10 ohms

Correct B. 20 ohms

C. 30 ohms

D. 40 ohms

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 19

A magnetic field is produced by a current-carrying wire. The current is 2 A, and the length of the wire is 1 m. What is the magnetic field strength?

A. 0.2 T

Correct B. 0.4 T

C. 0.6 T

D. 0.8 T

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 20

A quantum particle is confined to a one-dimensional box. The energy levels are given by the equation E_n = \( n^2 * h^2 \) / \( 8 * m * L^2 \). What is the energy of the particle in the ground state?

Correct A. 10 J

B. 20 J

C. 30 J

D. 40 J

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 21

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. If the particle is subjected to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?

A. 10 m/s^2

Correct B. 12 m/s^2

C. 15 m/s^2

D. 20 m/s^2

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 22

A wave has a frequency of 50 Hz and a wavelength of 0.2 m. If the wave is traveling in the positive x-direction, what is the direction of the particle velocity?

Correct A. positive x-direction

B. negative x-direction

C. positive y-direction

D. negative y-direction

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 23

A capacitor consists of two parallel plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. If the capacitor is charged to a potential difference of 10 V, what is the capaci\tance?

Correct A. 1.6 x 10^-10 F

B. 1.6 x 10^-11 F

C. 1.6 x 10^-12 F

D. 1.6 x 10^-13 F

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 24

A heat engine operates between a high-temperature reservoir at 500 K and a low-temperature reservoir at 300 K. If the engine produces 1000 J of work per cycle, what is the efficiency of the engine?

A. 0.2

Correct B. 0.3

C. 0.4

D. 0.5

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 25

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 6 N, what is the magnitude of the acceleration of the particle?

A. 5 m/s^2

Correct B. 6 m/s^2

C. 8 m/s^2

D. 10 m/s^2

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

POST UTME UNIBEN 2020 Physics | Objective

Master the Exam!

Help others prepare! Share this practice hub: