POST UTME AL-HIKMAH UNIVERSITY 2020 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A parallel plate capacitor has a capaci\tance of 2.5 μF. If a potential difference of 10 V is applied across the plates, what is the charge stored on the capacitor?
A. 25 μC
B. 50 μC
C. 100 μC
D. 200 μC
Question 2
A particle of mass 2.0 x 10⁴ kg is moving in a straight line with a speed of 5.0 m/s. If the particle is subjected to a cons\tant force of 1.0 x 10⁴ N, what is the acceleration?
A. 0.5 m/s⁻¹²
B. 1.0 m/s⁻¹²
C. 2.0 m/s⁻¹²
D. 5.0 m/s⁻¹²
Question 3
A 2 kg object is attached to a horizontal string and whirled around in a circle with a radius of 1.5 m. If the object is moving at a speed of 5 m/s, what is the angular velocity?
A. 2 rad/s
B. 4 rad/s
C. 6 rad/s
D. 8 rad/s
Question 4
A particle of mass 5 kg is moving in a circular path with a radius of 2 m. If it has a velocity of 3 m/s, what is its angular velocity?
A. \( \frac{3}{2} \) rad/s
B. \( \frac{3}{5} \) rad/s
C. \( \frac{5}{3} \) rad/s
D. \( \frac{2}{3} \) rad/s
Question 5
A radioactive sample of Δₗ emits Δₗ particles at a rate of 2.5 x 10⁵ decays per second. If the half-life of Δₗ is 5.27 x 10⁸ seconds, what is the decay cons\tant λ?
A. 1.3 x 10⁸ s⁻¹±⁹
B. 2.5 x 10⁸ s⁻¹±⁹
C. 5.2 x 10⁸ s⁻¹±⁹
D. 1.0 x 10⁹ s⁻¹±⁹
Question 6
A 100 W light bulb is connected to a 220 V power source. If the resis\tance of the light bulb is 50 Ω, calculate the current flowing through the light bulb.
A. 0.5 A
B. 1 A
C. 2 A
D. 4 A
Question 7
A 1000 kg car is traveling at a speed of 20 m/s. If the driver applies the brakes and the car comes to a stop in 4 s, what is the average acceleration?
A. 5 m/s^2
B. 10 m/s^2
C. 15 m/s^2
D. 20 m/s^2
Question 8
A 1000 kg car is traveling at a speed of 20 m/s. If the driver applies the brakes and the car comes to a stop in 4 s, what is the average deceleration?
A. 5 m/s^2
B. 10 m/s^2
C. 15 m/s^2
D. 20 m/s^2
Question 9
A block of mass 5 kg is attached to a horizontal spring with a force cons\tant of 200 N/m. If the block is displaced by 0.2 m from its equilibrium position and released, what is the maximum speed?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 10
A container filled with 2 kg of water is heated from 20°C to 80°C. If the specific heat capacity of water is 4.2 J/g°C, calculate the energy required to heat the water.
A. 3360 J
B. 4320 J
C. 5280 J
D. 6240 J
Question 11
A gas is contained in a cylinder of volume 15 L. If the temperature is increased from 400 K to 500 K, what is the new volume?
A. \( 15 \times \frac{500}{400} \) L
B. \( 15 \times \frac{400}{500} \) L
C. \( 15 \times \sqrt{\frac{500}{400}} \) L
D. \( 15 \times \sqrt{\frac{400}{500}} \) L
Question 12
A 100 W light bulb is connected to a 220 V power source. If the resis\tance of the light bulb is 50 Ω, calculate the current flowing through the light bulb.
Question 13
A gas at 300 K has a pressure of 1.0 x 10⁴ Pa. If the temperature is increased to 600 K, what is the new pressure?
A. 2.0 x 10⁴ Pa
B. 4.0 x 10⁴ Pa
C. 6.0 x 10⁴ Pa
D. 8.0 x 10⁴ Pa
Question 14
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 subject to a centripetal force of 10 N, calculate the angle through which the particle has moved after 5 seconds.
A. 10°
B. 20°
C. 30°
D. 40°
Question 15
A gas occupies a volume of 2 m^3 at a pressure of 100 kPa. If the temperature is increased to 300 K, calculate the final pressure of the gas, given that the gas is ideal.
A. 110 kPa
B. 120 kPa
C. 130 kPa
D. 140 kPa

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