POST UTME LAUTECH 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A light ray passes through a prism and is re\fracted. If the angle of incidence is 30° and the angle of re\fraction is 20°, what is the angle of deviation?
A. 10°
B. 20°
C. 30°
D. 40°
Question 2
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 3
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.
Question 4
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 5
A uniform magnetic field of magnitude 2 T is directed along the z-axis. A current of 5 A flows through a wire loop of radius 0.1 m, placed in the x-y plane. What is the magnitude of the magnetic moment of the loop?
A. 0.01 A m^2
B. 0.1 A m^2
C. 1 A m^2
D. 10 A m^2
Question 6
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 7
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 8
A particle of mass 1 kg is moving in a straight line with a velocity of 5 m/s. If a force of 2 N is applied to the particle, what is the acceleration?
A. 0.5 m/s^2
B. 1 m/s^2
C. 1.5 m/s^2
D. 2 m/s^2
Question 9
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 10
A particle of mass m is moving in a circular path of radius r with a cons\tant speed v. What is the magnitude of the net force acting on the particle?
A. mv^2/r
B. mv^2/r^2
C. mvr
D. mv^2/r^3
Question 11
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 12
A radioactive sample has a half-life of $T_{1/2}$. If the initial activity of the sample is $A_0$, find the activity of the sample after a time $t$.
A. $A_0\left\( \frac{1}{2}\right \)^{t/T_{1/2}}$
B. $A_0\left\( \frac{1}{2}\right \)^{T_{1/2}/t}$
C. $A_0\left\( \frac{1}{2}\right \)^{t/T_{1/2}} + A_0$
D. $A_0\left\( \frac{1}{2}\right \)^{t/T_{1/2}} - A_0$
Question 13
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 14
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 15
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 subject 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

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