POST UTME JOSEPH AYO BABALOLA UNIVERSITY 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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, what is the total resis\tance of the circuit?
A. 8 Ω
B. 10 Ω
C. 12 Ω
D. 16 Ω
Question 2
A parallel plate capacitor has a capaci\tance of $C = 2 \times 10^{-6} F$. The plates are separated by a dis\tance of $d = 0.01 m$. If a potential difference of $V = 10 V$ is applied across the plates, what is the charge stored on the capacitor?
A. 0.02 C
B. 0.02 \times 10^{-6} C
C. 0.2 C
D. 0.2 \times 10^{-6} C
Question 3
A current of 2 A flows through a resistor of 10 Ω for 5 s. What is the total energy dissipated in the resistor?
A. 20 J
B. 40 J
C. 60 J
D. 80 J
Question 4
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. What is the maximum height reached by the projectile?
A. 10 m
B. 15 m
C. 20 m
D. 25 m
Question 5
A heat engine operates between a high-temperature reservoir at 500 K and a low-temperature reservoir at 300 K. If the engine produces 100 J of work per cycle, what is the efficiency of the engine?
A. \( 20 \% \)
B. \( 30 \% \)
C. \( 40 \% \)
D. \( 50 \% \)
Question 6
A 10 μF capacitor is connected in series with a 20 Ω resistor and a 50 V battery. What is the current flowing through the circuit?
A. 0.25 A
B. 0.5 A
C. 0.75 A
D. 1.0 A
Question 7
A convex lens of focal length 20 cm is placed in contact with a concave lens of focal length -15 cm. Determine the focal length of the combined lens system.
A. 10 cm
B. 15 cm
C. 20 cm
D. 25 cm
Question 8
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The ground state wave function of the particle is given by $psi_1(x) = \sqrt{\frac{2}{L}} \sinleft\( \frac{pi x}{L}\right \)$. What is the probability of finding the particle in the region $0 < x < \frac{L}{4}$?
A. 0.25
B. 0.5
C. 0.75
D. 1
Question 9
A body is moving in a straight line with an initial velocity of 5 m/s and a final velocity of 10 m/s. If the dis\tance traveled is 20 m, calculate the acceleration of the body.
A. 0.5 m/s^2
B. 1 m/s^2
C. 1.5 m/s^2
D. 2 m/s^2
Question 10
A wave has a frequency of 50 Hz and a wavelength of 0.2 m. If the wave is traveling in the positive x-direction, what is the direction of the particle velocity?
A. in the positive x-direction
B. in the negative x-direction
C. perp\endicular to the wave
D. in the positive y-direction
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. 10 m/s^2
B. 12 m/s^2
C. 15 m/s^2
D. 20 m/s^2
Question 12
A 100 Ω resistor is connected in parallel with a 200 Ω resistor. What is the equivalent resis\tance of the circuit?
A. 50 Ω
B. 66.67 Ω
C. 100 Ω
D. 200 Ω
Question 13
A radioactive sample has an initial activity of 100 Bq. If the half-life of the sample is 10 minutes, what is the activity of the sample after 30 minutes?
A. 50 Bq
B. 25 Bq
C. 12.5 Bq
D. 6.25 Bq
Question 14
A simple harmonic motion has a period of $T = 2 s$. If the amplitude of the motion is $A = 0.1 m$, what is the angular frequency of the motion?
A. 1.57 rad/s
B. 3.14 rad/s
C. 6.28 rad/s
D. 12.56 rad/s
Question 15
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°

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