POST UTME OSUSTECH 2020 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A lens of focal length $f = 10, \text{cm}$ is used to form an image of an object at a dis\tance of $d = 20, \text{cm}$. What is the magnification of the lens?
A. 0.5
B. 1
C. 2
D. 3
Question 2
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 3
A particle moves in simple harmonic motion with an angular frequency of 2 rad/s and an amplitude of 5 m. What is the maximum acceleration of the particle?
A. 10 m/s^2
B. 20 m/s^2
C. 30 m/s^2
D. 40 m/s^2
Question 4
A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If a potential difference of 12 V is applied across the circuit, what is the current flowing through the 10 Ω resistor?
A. 0.5 A
B. 1.0 A
C. 1.5 A
D. 2.0 A
Question 5
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The wave function of the particle is given by (psi(x) = \sqrt{\frac{2}{L}} \sinleft\( \frac{npi x}{L}\right \)). What is the expectation value of the position operator for this particle?
A. 0
B. L/2
C. L
D. nπL/2
Question 6
A block of mass 5 kg is susp\ended from a spring with a spring cons\tant of 200 N/m. If the block is displaced by 0.1 m from its equilibrium position and released, what is the maximum speed of the block?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 7
A gas occupies a volume of 2 L at a pressure of 1 atm. If the temperature is increased to 300 K, what is the new volume of the gas?
A. 2.5 L
B. 3 L
C. 3.5 L
D. 4 L
Question 8
A wave with a frequency of 50 Hz and an amplitude of 2 m is traveling through a medium with a speed of 300 m/s. What is the wavelength of the wave?
A. 6 m
B. 12 m
C. 15 m
D. 20 m
Question 9
A capacitor consists of two parallel plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. The plates are charged to a potential difference of 10 V. Calculate the capaci\tance of the capacitor.
A. 0.01 F
B. 0.1 F
C. 1 F
D. 10 F
Question 10
A gas at a pressure of 100 kPa and a temperature of 300 K is allowed to expand to a volume of 2 m^3. If the gas is ideal, what is the final pressure of the gas?
A. 50 kPa
B. 75 kPa
C. 100 kPa
D. 125 kPa
Question 11
A body is at rest on a horizontal surface. A force of 10 N is applied to the body in the horizontal direction. If the coefficient of friction between the body and the surface is 0.5, what is the acceleration of the body?
A. 2 m/s^2
B. 5 m/s^2
C. 10 m/s^2
D. 20 m/s^2
Question 12
A 10 V battery is connected in series with a 2 Ω resistor and a 4 Ω resistor. What is the current flowing through the 2 Ω resistor?
A. 1 A
B. 2 A
C. 3 A
D. 4 A
Question 13
A 100 W light bulb is connected to a 220 V power source. If the current drawn by the bulb is 0.5 A, what is the resis\tance of the bulb?
A. 20 Ω
B. 40 Ω
C. 60 Ω
D. 80 Ω
Question 14
A cylindrical \tank of radius 2 m and height 4 m is filled with water to a height of 3 m. What is the pressure at the bottom of the \tank?
A. 2000 Pa
B. 4000 Pa
C. 6000 Pa
D. 8000 Pa
Question 15
A 5 kg block of ice at 0°C is placed in a 10 kg block of copper at 100°C. Assuming no heat loss to the surroundings, what is the final temperature of the system?
A. 20°C
B. 30°C
C. 40°C
D. 50°C

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