Practice Post UTME LAUTECH physics 2018 Past Questions

Question 1

A gas is contained in a cylinder of volume 2 m^3 at a pressure of 1 atm. If the temperature is increased by 10°C, what is the new pressure?

A. 1.1 atm

B. 1.2 atm

C. 1.3 atm

D. 1.4 atm

Question 2

A particle is projected at an angle of 60° to the horizontal with initial velocity 20 m/s. What is the time of flight of the particle?

A. 1 s

B. 2 s

C. 3 s

D. 4 s

Question 3

A simple harmonic motion is given by x(t) = 2 \sin$ 3t + π/4 $. What is the angular frequency of the motion?

A. 3 rad/s

B. 4 rad/s

C. 5 rad/s

D. 6 rad/s

Question 4

A particle of mass $m$ is moving in a circular orbit of radius $r$ under the influence of a central force given by $F(r) = -\frac{k}{r^2}$. If the particle's angular momentum is $L = 2mvr$, find the total energy of the particle.

A. $\frac{1}{2}mv^2 + \frac{k}{r}$

B. $\frac{1}{2}mv^2 - \frac{k}{r}$

C. $-\frac{1}{2}mv^2 - \frac{k}{r}$

D. $-\frac{1}{2}mv^2 + \frac{k}{r}$

Question 5

A sound wave with frequency 200 Hz and amplitude 0.1 m is traveling through a medium with speed 340 m/s. What is the wavelength of the wave?

A. 1.7 m

B. 1.7 cm

C. 17 m

D. 17 cm

Question 6

A radioactive sample decays at a rate of 0.05% per hour. If the initial activity of the sample is 1000 Bq, what is the activity of the sample after 2 hours?

A. 900 Bq

B. 950 Bq

C. 1000 Bq

D. 1050 Bq

Question 7

A wave has a frequency of 20 Hz and a wavelength of 0.5 m. What is the speed of the wave?

A. 10 m/s

B. 20 m/s

C. 30 m/s

D. 40 m/s

Question 8

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

B. 12 m/s^2

C. 15 m/s^2

D. 20 m/s^2

Question 9

A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 5 Ω resistor connected in parallel. What is the equivalent resis\tance of the circuit?

A. 5 Ω

B. 10 Ω

C. 15 Ω

D. 20 Ω

Question 10

A beam of light passes from air into a glass of re\fractive index n. What is the angle of re\fraction?

A. \sin^{-1} \left$ \frac{n_1}{n_2} \sin \theta_1 \right $

B. \sin^{-1} \left$ \frac{n_2}{n_1} \sin \theta_1 \right $

C. \sin^{-1} \left$ \frac{n_1}{n_2} \cos \theta_1 \right $

D. \sin^{-1} \left$ \frac{n_2}{n_1} \cos \theta_1 \right $

Question 11

A vector A has magnitude 5 m and direction 30° to the x-axis. What is the magnitude of the vector B such that the resul\tant vector C is 10 m at an angle of 60° to the x-axis?

A. 5 m

B. 10 m

C. 15 m

D. 20 m

Question 12

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. 4 m/s^2

B. 6 m/s^2

C. 8 m/s^2

D. 10 m/s^2

Question 13

A block of mass $m$ is attached to a horizontal spring with spring cons\tant $k$. If the block is displaced by a dis\tance $x$ from its equilibrium position and released from rest, find the maximum kinetic energy of the block.

A. $\frac{1}{2}kx^2$

B. $\frac{1}{2}mx^2$

C. $\frac{1}{2}kx^4$

D. $\frac{1}{2}mx^4$

Question 14

A block of mass 5 kg is placed on a frictionless surface and is given an initial velocity of 2 m/s. If the block experiences a cons\tant acceleration of 1 m/s², what is the time it takes for the block to reach a velocity of 5 m/s?

A. 2 s

B. 3 s

C. 4 s

D. 5 s

Question 15

A gas is contained in a cylinder with a movable piston. The gas is heated, cau\sing its pressure to increase. Which of the following statements is true about the change in the gas's volume?

A. The volume of the gas decreases.

B. The volume of the gas increases.

C. The volume of the gas remains cons\tant.

D. The volume of the gas decreases and then increases.

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