POST UTME MOUNTAIN TOP UNIVERSITY 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8.0 x 10^-10 F, what is the charge stored when the potential difference between the plates is 100 V?
A. 4.0 x 10^-7 C
B. 8.0 x 10^-7 C
C. 1.6 x 10^-6 C
D. 3.2 x 10^-6 C
Question 2
A 2 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, what is the maximum speed of the block?
A. 0.5 m/s
B. 1 m/s
C. 2 m/s
D. 5 m/s
Question 3
A 100 Ω resistor is connected in series with a 20 μF capacitor and a 50 mH inductor. If the frequency is 50 Hz, what is the impedance of the circuit?
A. 120 Ω
B. 150 Ω
C. 180 Ω
D. 200 Ω
Question 4
A particle of mass 2 kg is attached to a spring of spring cons\tant 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released, what is the maximum velocity of the particle?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 5
A particle of mass $m$ is in a one-dimensional potential well of width $a$. If the particle's energy is $E$, what is the magnitude of the wave function at the center of the well?
A. \sqrt{\frac{2mE}{\hbar^2}}
B. \sqrt{\frac{2mE}{a^2}}
C. \sqrt{\frac{2mE}{a^3}}
D. \sqrt{\frac{2mE}{a^4}}
Question 6
A 100 W light bulb is connected to a 220 V power source. If the resis\tance of the bulb is 100 Ω, what is the current flowing through the bulb?
A. 0.5 A
B. 1 A
C. 2 A
D. 5 A
Question 7
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 20 minutes?
A. 25 Bq
B. 50 Bq
C. 75 Bq
D. 100 Bq
Question 8
A capacitor consists of two parallel plates of area $A$ separated by a dis\tance $d$. If the capaci\tance is $C$ and the potential difference between the plates is $V$, what is the magnitude of the electric field?
A. \frac{Q}{\epsilon_0 A}
B. \frac{Q}{\epsilon_0 d}
C. \frac{V}{d}
D. \frac{V}{A}
Question 9
A 2 kg particle is attached to a spring of spring cons\tant 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released, what is the maximum velocity of the particle?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 10
A light source is placed 2 m from a convex lens of focal length 0.5 m. If the image dis\tance is 1.5 m, what is the magnification of the lens?
A. 2
B. 3
C. 4
D. 5
Question 11
A gas of $N$ particles is in thermal equilibrium at temperature $T$. If the particles have an average kinetic energy of $\frac{3}{2}kT$, what is the magnitude of the pressure?
A. \frac{NkT}{V}
B. \frac{NkT}{a^2}
C. \frac{NkT}{a^3}
D. \frac{NkT}{a^4}
Question 12
A 100 V DC source is connected in series with a 50 Ω resistor and a 20 μF capacitor. If the frequency is 50 Hz, what is the impedance of the circuit?
A. 120 Ω
B. 150 Ω
C. 180 Ω
D. 200 Ω
Question 13
A particle of mass $m$ is moving in a circular orbit of radius $r$ in a uniform magnetic field of strength $B$. If the particle's velocity is $v$, what is the magnitude of the magnetic field?
A. \frac{mv}{qr}
B. \frac{mv^2}{qr}
C. \frac{mv}{q^2r}
D. \frac{mv^2}{q^2r}
Question 14
A light ray passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 30°
C. 40°
D. 50°
Question 15
A light ray passes through a prism of angle 60° and is deviated by 30°. What is the angle of incidence?
A. 30°
B. 45°
C. 60°
D. 75°

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