POST UTME SUMMIT UNIVERSITY 2024 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 10 μF capacitor is connected in series with a 20 Ω resistor and a 50 Hz AC source. If the maximum voltage across the capacitor is 100 V, what is the maximum current in the circuit?
A. 0.5 A
B. 1.0 A
C. 2.0 A
D. 5.0 A
Question 2
A lens of focal length 15 cm is used to form an image of an object placed 25 cm from the lens. What is the magnification of the image?
A. -3/5
B. -2/3
C. -1/2
D. 1/2
Question 3
A particle of mass $m$ is moving in a circular orbit of radius $R$ with a speed $v$. If the particle is subject to a centripetal force $F_c$, what is the magnitude of the force?
A. \frac{mv^2}{R}
B. \frac{2mv^2}{R}
C. \frac{3mv^2}{R}
D. \frac{4mv^2}{R}
Question 4
A body of mass 4 kg is moving in a straight line with a velocity of 8 m/s. If it is subjected to a force of 24 N, what is the acceleration of the body?
A. 6 m/s^2
B. 12 m/s^2
C. 18 m/s^2
D. 24 m/s^2
Question 5
A particle of mass 3 kg is moving in a circular path of radius 2 m with a cons\tant speed of 6 m/s. If the particle is subjected to a centripetal force of 18 N, what is the angular velocity of the particle?
A. 2 rad/s
B. 4 rad/s
C. 6 rad/s
D. 8 rad/s
Question 6
A ray of light passes from air into a glass of re\fractive index 1.8. If the angle of incidence is 40°, what is the angle of re\fraction?
A. 20°
B. 30°
C. 40°
D. 50°
Question 7
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 angular velocity of the particle?
A. 2 rad/s
B. 4 rad/s
C. 6 rad/s
D. 8 rad/s
Question 8
A ray of light 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. 40°
B. 50°
C. 60°
D. 70°
Question 9
A radioactive sample has a half-life of 10 years. If the initial activity is 100 Bq, what is the activity of the sample after 20 years?
A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq
Question 10
A lens of focal length 20 cm is used to form an image of an object placed 30 cm from the lens. What is the magnification of the image?
A. -2/3
B. -1/2
C. -1/3
D. 1/2
Question 11
A radioactive sample decays at a rate of 5% per hour. If the initial amount of the sample is 100 g, what is the amount of the sample remaining after 3 hours?
A. 50 g
B. 60 g
C. 70 g
D. 80 g
Question 12
A wave function \psi(x) = Ae^{ikx} is a solution to the time-indep\endent Schrödinger equation for a particle of mass m in a one-dimensional potential V(x). What is the energy of the particle?
A. \hbar^2 k^2/2m
B. \hbar^2 k^2/m
C. \hbar k^2/2m
D. \hbar k^2/m
Question 13
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. 6 m/s^2
B. 12 m/s^2
C. 18 m/s^2
D. 24 m/s^2
Question 14
A circuit consists of a 12 V battery, a 4 Ω resistor, and an inductor of induc\tance 0.5 H. If the switch is closed at time $t=0$, what is the current in the circuit at $t=1$ s?
A. 5 A
B. 10 A
C. 15 A
D. 20 A
Question 15
A particle of mass m is moving in a circular orbit of radius r under the influence of a central force F(r) = -k/r^2. What is the angular momentum of the particle?
A. mk/r
B. mk^2/r
C. \sqrt{mk^2/r}
D. mk^2/r^2

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