Practice Post UTME COVENANT UNIVERSITY physics 2018 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. 2 m/s^2

B. 4 m/s^2

C. 6 m/s^2

D. 8 m/s^2

Question 2

A coil of 100 turns and a radius of 0.2 m is placed in a magnetic field of 0.5 T. If the current in the coil is 2 A, what is the magnitude of the induced emf?

A. 0.1 V

B. 0.2 V

C. 0.3 V

D. 0.4 V

Question 3

A radioactive sample has an initial activity of 100 Bq. After 10 minutes, the activity decreases to 50 Bq. Calculate the half-life of the sample.

A. 5 minutes

B. 10 minutes

C. 15 minutes

D. 20 minutes

Question 4

A block of mass 5 kg is placed on a horizontal, frictionless surface. A horizontal force of 10 N is applied to the block, cau\sing it to accelerate at 2 m/s^2. Calculate the coefficient of kinetic friction between the block and the surface.

A. 0.2

B. 0.5

C. 1

D. 2

Question 5

A wave has a frequency of 100 Hz and a speed of 300 m/s. What is the wavelength of the wave?

A. 0.1 m

B. 0.2 m

C. 0.3 m

D. 0.4 m

Question 6

A light ray passes through a prism of angle 30° and is re\fracted at an angle of 20°. What is the angle of deviation?

A. 10°

B. 20°

C. 30°

D. 40°

Question 7

A nucleus of mass number $A$ and atomic number $Z$ undergoes \beta decay, emitting an electron of energy $E$. Find the energy $Q$ released in the decay.

A. E

B. -E

C. E + \frac{E}{A}

D. -E + \frac{E}{A}

Question 8

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. 1 rad/s

B. 2 rad/s

C. 5 rad/s

D. 10 rad/s

Question 9

A 5 kg block is attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position, what is the potential energy stored in the spring?

A. 10 J

B. 20 J

C. 30 J

D. 40 J

Question 10

A heat engine operates between two temperatures of 300 K and 400 K. If the engine absorbs 100 J of heat from the high-temperature reservoir, what is the efficiency of the engine?

A. 20%

B. 30%

C. 40%

D. 50%

Question 11

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. 8 m/s^2

B. 12 m/s^2

C. 16 m/s^2

D. 20 m/s^2

Question 12

A body of mass 5 kg is moving in a straight line with an initial velocity of 10 m/s. If the body is subjected to a force of 20 N, what is the acceleration of the body?

A. 2 m/s^2

B. 4 m/s^2

C. 6 m/s^2

D. 8 m/s^2

Question 13

A solid cylindrical rod of length 1.5 m and radius 0.05 m is made of a material with Young's modulus of 2.0 x 10^11 N/m^2. If a force of 50 N is applied \tangentially at one \end of the rod, what is the angular displacement of the other \end?

A. 0.01 rad

B. 0.02 rad

C. 0.03 rad

D. 0.04 rad

Question 14

A 100 Ω resistor is connected in series with a 200 Ω resistor. If a current of 2 A flows through the circuit, what is the potential difference across the 200 Ω resistor?

A. 100 V

B. 200 V

C. 400 V

D. 600 V

Question 15

A block of mass $m$ is placed on a frictionless surface and connected to a horizontal spring of spring cons\tant $k$. If the block is displaced by a dis\tance $x$ and released from rest, find the frequency $f$ of the resulting simple harmonic motion.

A. \frac{1}{2\pi} \sqrt{\frac{k}{m}}

B. \frac{1}{2\pi} \sqrt{\frac{m}{k}}

C. \frac{1}{2\pi} \sqrt{\frac{k}{m}} + \frac{1}{2\pi} \sqrt{\frac{m}{k}}

D. \frac{1}{2\pi} \sqrt{\frac{k}{m}} - \frac{1}{2\pi} \sqrt{\frac{m}{k}}

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