POST UTME IMS U 2020 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 100 µF capacitor is connected in series with a 200 µF capacitor and a 20 µF resistor. If a 10 V AC source is applied across the circuit, what is the current through the circuit?
A. 0.5 A
B. 1.0 A
C. 1.5 A
D. 2.0 A
Question 2
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.005 m. If a potential difference of 10 V is applied across the plates, calculate the capaci\tance.
A. 0.08 F
B. 0.16 F
C. 0.24 F
D. 0.32 F
Question 3
A light ray is incident on a mirror with an angle of incidence $i = 45^circ$. If the mirror is a concave mirror with a focal length $f = -10 , \text{cm}$, what is the angle of reflection $r$?
A. \( r = i \)
B. \( r = 2i \)
C. \( r = \sin^{-1} left\( \frac{n \sin i}{n + \sin i} \right \ \) )
D. \( r = \sin^{-1} left\( \frac{n \sin i}{n - \sin i} \right \ \) )
Question 4
A circuit consists of a resistor $R = 10 , Omega$, an inductor $L = 5 , \text{H}$, and a capacitor $C = 2 \times 10^{-6} , \text{F}$ connected in series. If the circuit is driven by a voltage source $V = 10 , \text{V}$ with a frequency $f = 50 , \text{Hz}$, what is the impedance of the circuit?
A. \( Z = R \)
B. \( Z = \sqrt{R^2 + \( X_L - X_C \ \)^2} )
C. \( Z = \sqrt{R^2 + \( X_L + X_C \ \)^2} )
D. \( Z = \sqrt{R^2 + \( X_L - X_C \ \)^2} left\( 1 - \frac{X_L}{X_C} \right \) )
Question 5
A nucleus of mass number 20 has a binding energy of 150 MeV. Calculate the binding energy per nucleon.
A. 7.5 MeV
B. 8 MeV
C. 8.5 MeV
D. 9 MeV
Question 6
A heat engine operates between the temperatures of 300 K and 400 K. If the efficiency is 30%, calculate the work done per cycle.
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 7
A ray of light passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.
A. 20°
B. 30°
C. 40°
D. 50°
Question 8
A sound wave with a frequency of 200 Hz and a speed of 343 m/s is traveling through a medium. If the wave is reflected off a surface, what is the frequency of the reflected wave?
A. 100 Hz
B. 200 Hz
C. 300 Hz
D. 400 Hz
Question 9
A heat engine operates between two temperatures, 300 K and 400 K. What is the efficiency of the engine?
A. 20%
B. 30%
C. 40%
D. 50%
Question 10
A radioactive sample has a half-life of 10 years. If the initial activity is 100 Bq, calculate the activity after 20 years.
A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq
Question 11
A gas is enclosed in a container with a movable piston. The gas is heated, cau\sing its pressure to increase. If the piston is allowed to move freely, what will happen to the volume of the gas?
A. The volume of the gas will decrease.
B. The volume of the gas will increase.
C. The volume of the gas will remain cons\tant.
D. The volume of the gas will increase and then decrease.
Question 12
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the current in the circuit is 2 A, calculate the voltage across the 6 Ω resistor.
A. 8 V
B. 10 V
C. 12 V
D. 14 V
Question 13
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 force acting on the particle?
A. m v^2 / r
B. m v^2 / (2 r)
C. 2 m v^2 / r
D. 3 m v^2 / r
Question 14
A lens of focal length 0.2 m is used to form an image of an object 0.5 m away. If the object is 0.1 m high, calculate the height of the image.
A. 0.05 m
B. 0.1 m
C. 0.15 m
D. 0.2 m
Question 15
A block of mass 5 kg is placed on a frictionless surface and a horizontal force of 20 N is applied to it. If the block starts from rest, calculate its velocity after 2 s.
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s

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