POST UTME CHRISTOPHER UNIVERSITY 2017 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. 25°
C. 30°
D. 35°
Question 2
A sound wave has a frequency of 200 Hz and a wavelength of 1.5 m. What is the speed of the sound wave?
A. 300 m/s
B. 400 m/s
C. 500 m/s
D. 600 m/s
Question 3
A point charge of +2 μC is placed at the origin of a coordinate system. What is the electric potential at a point 3 m away from the charge, if the electric potential at infinity is taken to be zero?
A. \( 9 \times 10^6 , \text{V} \)
B. \( 3 \times 10^6 , \text{V} \)
C. \( 1.5 \times 10^6 , \text{V} \)
D. \( 6 \times 10^6 , \text{V} \)
Question 4
A capacitor of capaci\tance 20 μF is connected in parallel with a resistor of resis\tance 30 Ω. If a voltage of 100 V is applied across the circuit, what is the current flowing through the circuit?
A. 0.5 A
B. 1 A
C. 2 A
D. 3 A
Question 5
A circuit consists of a $10 Omega$ resistor, a $20 mu F$ capacitor, and a $5 H$ inductor in series. The circuit is connected to a $12 V$ AC source with a frequency of $50 Hz$. Find the impedance $Z$ of the circuit.
A. 20 Omega
B. 30 Omega
C. 40 Omega
D. 50 Omega
Question 6
A block of mass 5 kg is placed on a frictionless surface and a horizontal force of 10 N is applied to it. What is the acceleration of the block?
A. \( 2 , \text{m/s}^2 \)
B. \( 5 , \text{m/s}^2 \)
C. \( 10 , \text{m/s}^2 \)
D. \( 20 , \text{m/s}^2 \)
Question 7
A body of mass $m$ is at rest on a horizontal surface. If a horizontal force $F$ is applied to the body, what is the acceleration of the body?
A. \( \frac{F}{m} \)
B. \( \frac{m}{F} \)
C. \( \frac{F}{m^2} \)
D. \( \frac{m^2}{F} \)
Question 8
A heat engine operates between two temperatures $T_1$ and $T_2$, where $T_1 > T_2$. If the engine absorbs $Q_1$ amount of heat from the high-temperature reservoir and rejects $Q_2$ amount of heat to the low-temperature reservoir, find the efficiency $eta$ of the engine.
A. eta = \frac{Q_1 - Q_2}{Q_1}
B. eta = \frac{Q_1 - Q_2}{Q_2}
C. eta = \frac{Q_1}{Q_1 - Q_2}
D. eta = \frac{Q_2}{Q_1 - Q_2}
Question 9
A block of mass 5 kg is placed on a frictionless surface. A horizontal force of 20 N is applied to the block. What is the acceleration of the block?
A. 2 m/s²
B. 4 m/s²
C. 6 m/s²
D. 8 m/s²
Question 10
A radioactive sample has a half-life of 10 years. If the initial activity of the sample is 100 Bq, what is the activity of the sample after 20 years?
A. \( 25 , \text{Bq} \)
B. \( 50 , \text{Bq} \)
C. \( 75 , \text{Bq} \)
D. \( 100 , \text{Bq} \)
Question 11
A parallel plate capacitor has plates of area $A$ and separation $d$. If the capaci\tance is $C$, what is the value of the dielectric cons\tant $K$?
A. 1
B. 2
C. 3
D. 4
Question 12
A capacitor of capaci\tance 10 μF is connected in series with a resistor of resis\tance 100 Ω. If a 12 V battery is connected across the circuit, what is the time cons\tant of the circuit?
A. 1 ms
B. 10 ms
C. 100 ms
D. 1000 ms
Question 13
A 100 Ω resistor is connected in series with a 200 Ω resistor and a 50 Ω resistor. If a 12 V battery is connected across the circuit, what is the current flowing through the 50 Ω resistor?
A. 0.2 A
B. 0.4 A
C. 0.6 A
D. 0.8 A
Question 14
A gas at temperature $T$ is enclosed in a container of volume $V$. If the gas is heated to a temperature $T + Delta T$, find the change in the pressure $P$ of the gas.
A. Delta P = \frac{P}{T} Delta T
B. Delta P = \frac{P}{V} Delta T
C. Delta P = \frac{P}{T} Delta V
D. Delta P = \frac{P}{V} Delta V
Question 15
A wave has a frequency of 50 Hz and a wavelength of 0.2 m. What is the speed of the wave?
A. 10 m/s
B. 20 m/s
C. 30 m/s
D. 40 m/s

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