POST UTME COAL CITY UNIVERSITY 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle of mass $m$ is moving in a circular orbit of radius $R$ with a speed $v$. If the particle is subjected to a uniform magnetic field of strength $B$, what is the magnitude of the magnetic force acting on the particle?
A. \(\frac{mv^2}{R}\)
B. \(\frac{mv}{R}\)
C. \(\frac{m^2v^2}{R^2}\)
D. \(\frac{mv^2}{R^2}\)
Question 2
A gas at 300 K is heated to 400 K. If the initial volume is 2 L, what is the final volume?
A. 3 L
B. 4 L
C. 5 L
D. 6 L
Question 3
A particle of mass $m$ is moving in a circular orbit of radius $R$ with a speed $v$. If the particle is subjected to a uniform magnetic field of strength $B$, what is the magnitude of the magnetic force acting on the particle?
A. \(\frac{mv^2}{R}\)
B. \(\frac{mv}{R}\)
C. \(\frac{m^2v^2}{R^2}\)
D. \(\frac{mv^2}{R^2}\)
Question 4
A \tank is filled with water to a height of 5 m. If a hole of area 0.01 m^2 is drilled at the bottom of the \tank, what is the rate of change of the water level with respect to time?
A. 0.01 m/s
B. 0.02 m/s
C. 0.05 m/s
D. 0.1 m/s
Question 5
A heat engine operates between two reservoirs at temperatures 300 K and 400 K. If the engine absorbs 100 J of heat from the high-temperature reservoir, what is the efficiency of the engine?
A. 0.2
B. 0.3
C. 0.4
D. 0.5
Question 6
A particle of mass $m$ is moving in a circular orbit of radius $R$ with a speed $v$. If the particle is subjected to a uniform magnetic field of strength $B$, what is the magnitude of the magnetic force acting on the particle?
A. \(\frac{mv^2}{R}\)
B. \(\frac{mv}{R}\)
C. \(\frac{m^2v^2}{R^2}\)
D. \(\frac{mv^2}{R^2}\)
Question 7
A circuit consists of a 12 V battery, a 4 ohm resistor, and a 6 ohm resistor connected in series. What is the current in the circuit?
A. 0.5 A
B. 1 A
C. 1.5 A
D. 2 A
Question 8
A 10 μF capacitor is connected in series with a 20 Ω resistor. If a potential difference of 12 V is applied across the circuit, what is the current flowing through the resistor?
A. 0.6 A
B. 0.8 A
C. 1.0 A
D. 1.2 A
Question 9
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. If the particle is suddenly subjected to a centripetal force $F_c = k \frac{v^2}{r}$, where $k$ is a cons\tant, what is the new speed of the particle?
A. \( v = \sqrt{\frac{k m r}{k - 1}} \)
B. \( v = \sqrt{\frac{k m r}{k + 1}} \)
C. \( v = \sqrt{\frac{k m r}{k - 2}} \)
D. \( v = \sqrt{\frac{k m r}{k + 2}} \)
Question 10
A radioactive sample has a half-life of 5.0 days. If the initial activity is 1000 Bq, determine the activity after 20 days.
A. 250 Bq
B. 500 Bq
C. 750 Bq
D. 1000 Bq
Question 11
A sound wave with frequency 200 Hz and amplitude 0.05 m is traveling through a medium with speed 340 m/s. What is the intensity of the sound wave?
A. 1.4 x 10^-3 W/m^2
B. 2.8 x 10^-3 W/m^2
C. 4.2 x 10^-3 W/m^2
D. 5.6 x 10^-3 W/m^2
Question 12
A circuit consists of a resistor $R$ and an inductor $L$ connected in series. If the circuit is driven by a \sinusoidal voltage source of frequency $f$ and amplitude $V_0$, what is the impedance of the circuit?
A. \( Z = \sqrt{R^2 + \( \omega L \)^2} \)
B. \( Z = \sqrt{R^2 - \( \omega L \)^2} \)
C. \( Z = R + \omega L \)
D. \( Z = R - \omega L \)
Question 13
A particle of mass 0.5 kg is moving in a circular path of radius 2 m with a cons\tant speed of 4 m/s. If the particle is subjected to a centripetal force of 10 N, what is the magnitude of the acceleration of the particle?
A. 5 m/s^2
B. 10 m/s^2
C. 20 m/s^2
D. 25 m/s^2
Question 14
A 5 kg block is attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position and released, what is the maximum speed of the block?
A. 2.0 m/s
B. 3.0 m/s
C. 4.0 m/s
D. 5.0 m/s
Question 15
A capacitor consists of two parallel plates, each with an area of 0.02 m^2. The plates are separated by a dis\tance of 0.005 m and are charged to a potential difference of 10 V. Determine the capaci\tance.
A. 0.02 F
B. 0.04 F
C. 0.06 F
D. 0.08 F

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