POST UTME MOUNTAIN TOP UNIVERSITY 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 2
A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. If the circuit is driven by an AC voltage source of frequency $f$, what is the magnitude of the impedance?
A. \sqrt{R^2 + \( \omega L - \frac{1}{\omega C} \)^2}
B. \sqrt{R^2 + \( \omega L + \frac{1}{\omega C} \)^2}
C. \sqrt{R^2 + \( \omega L - \frac{1}{\omega C} \)}
D. \sqrt{R^2 + \( \omega L + \frac{1}{\omega C} \)}
Question 3
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 4
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 5
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 6
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 7
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 8
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 9
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 10
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 11
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 12
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 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 acceleration of 2 m/s^2, what is the force exerted on the particle?
A. 8 N
B. 16 N
C. 32 N
D. 64 N
Question 14
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 15
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}

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