POST UTME KSU 2017 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A sound wave with a frequency of 200 Hz has a speed of 340 m/s. What is the wavelength of the wave?
A. 1.7 m
B. 1.8 m
C. 1.9 m
D. 2 m
Question 2
A 2.5 V battery is connected in series to a 10 Ω resistor and a 5 μF capacitor. The capacitor is initially uncharged. What is the time cons\tant of the circuit?
A. 1.25 ms
B. 2.5 ms
C. 5 ms
D. 10 ms
Question 3
A 100 W light bulb is connected to a 120 V AC source. What is the current drawn by the light bulb?
A. 0.5 A
B. 1 A
C. 2 A
D. 5 A
Question 4
A 100 V, 50 Hz AC source is connected to a 10 Ω resistor. What is the rms value of the current flowing through the resistor?
A. 2 A
B. 5 A
C. 10 A
D. 20 A
Question 5
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_0\( x \ \) = \sqrt{\frac{2}{L}} \sinleft\( \frac{pi x}{L}\right \)). What is the expectation value of the position operator for this state?
A. \frac{L}{2}
B. \frac{L}{4}
C. \frac{3L}{4}
D. \frac{L}{\pi}
Question 6
A parallel plate capacitor has a capaci\tance of 10 μF. If the potential difference between the plates is 5 V, what is the charge on the capacitor?
A. 50 μC
B. 100 μC
C. 200 μC
D. 500 μC
Question 7
A radioactive sample decays from 100 g to 50 g in 10 years. What is the half-life of the sample?
A. 5 years
B. 10 years
C. 15 years
D. 20 years
Question 8
A beam of light 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. 25°
C. 30°
D. 35°
Question 9
A point charge of $+2\mu C$ is placed at the origin. A second point charge of $-3\mu C$ is placed at a dis\tance of 2 m from the first charge. What is the electric potential at the point $(1,0,0)$?
A. 100 V
B. 200 V
C. 300 V
D. 400 V
Question 10
A parallel plate capacitor consists of two plates of area $A$ separated by a dis\tance $d$. The capacitor is connected to a battery of voltage $V$. What is the capaci\tance of the capacitor?
A. \frac{A\epsilon_0}{d}
B. \frac{d\epsilon_0}{A}
C. \frac{A}{d\epsilon_0}
D. \frac{d}{A\epsilon_0}
Question 11
A block of mass 5 kg is moving with a velocity of 2 m/s on a frictionless surface. If a force of 10 N is applied to the block, what is the acceleration of the block?
A. 0.2 m/s^2
B. 0.4 m/s^2
C. 0.6 m/s^2
D. 0.8 m/s^2
Question 12
A 100 W light bulb is connected to a 230 V power source. What is the current drawn by the bulb?
A. 0.25 A
B. 0.5 A
C. 1 A
D. 2 A
Question 13
A 10 μF capacitor is connected in series with a 20 Ω resistor. If a 12 V battery is connected across the circuit, what is the current flowing through the circuit?
A. 0.5 A
B. 1 A
C. 2 A
D. 4 A
Question 14
A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If a 12 V battery is connected across the circuit, what is the current flowing through the 10 Ω resistor?
A. 0.4 A
B. 0.6 A
C. 0.8 A
D. 1.2 A
Question 15
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The wave function of the particle is given by (psi(x) = \sqrt{\frac{2}{L}} \sinleft\( \frac{npi x}{L}\right \)). What is the expectation value of the position operator for this particle?
A. \frac{L}{2}
B. \frac{L}{4}
C. \frac{3L}{4}
D. \frac{L}{3}

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