POST UTME AL-HIKMAH UNIVERSITY 2020 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A thermodynamic system undergoes a process from state A to state B. The initial temperature is 300 K and the final temperature is 400 K. If the change in entropy is 100 J/K, what is the heat transferred during the process?
A. 10000 J
B. 20000 J
C. 30000 J
D. 40000 J
Question 2
A gas is contained in a cylinder of volume 10 L. If the temperature is increased from 300 K to 400 K, what is the new volume?
A. \( 10 \times \frac{400}{300} \) L
B. \( 10 \times \frac{300}{400} \) L
C. \( 10 \times \sqrt{\frac{400}{300}} \) L
D. \( 10 \times \sqrt{\frac{300}{400}} \) L
Question 3
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. 600 m/s
C. 1200 m/s
D. 2400 m/s
Question 4
A radioactive sample of Uranium-238 undergoes \alpha decay, emitting an \alpha particle. If the initial mass of the sample is 200 g, and the mass of the \alpha particle is 4 u, calculate the mass of the daughter nucleus after the decay, given that the mass of Uranium-238 is 238 u.
A. 234 u
B. 238 u
C. 242 u
D. 246 u
Question 5
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 6
A 100 Ω resistor is connected in series with a 50 Ω resistor and a 200 Ω resistor. What is the equivalent resis\tance of the circuit?
A. 150 Ω
B. 200 Ω
C. 250 Ω
D. 300 Ω
Question 7
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
Question 8
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 volume?
A. 2.0 x 10⁴ m⁻³
B. 4.0 x 10⁴ m⁻³
C. 6.0 x 10⁴ m⁻³
D. 8.0 x 10⁴ m⁻³
Question 9
A 2 kg block of ice at 0°C is placed in a 5°C water bath. Assuming the specific heat capacity of ice is 2090 J/(kg°C) and the specific heat capacity of water is 4186 J/(kg°C), calculate the time it takes for the ice to melt completely.
A. 10 minutes
B. 20 minutes
C. 30 minutes
D. 40 minutes
Question 10
A wave function is given by ψ(x) = Ae^(ikx). If the wave function is normalized, calculate the value of A.
A. 1/√2
B. 1/√π
C. 1/√2π
D. 1/√4π
Question 11
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 12
A 5 kg particle is moving in a circular path of radius 3 m with a cons\tant speed of 6 m/s. If the particle is subject to a centripetal force of 20 N, calculate the angle through which the particle has moved after 3 seconds.
A. 20°
B. 30°
C. 40°
D. 50°
Question 13
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 14
A particle moves in a straight line with an initial velocity of 5 m/s. After 2 seconds, its velocity is 10 m/s. Assuming a cons\tant acceleration, find the acceleration of the particle.
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 15
A particle of mass 3.0 x 10⁴ kg is moving in a circular path of radius 2.0 m with a speed of 4.0 m/s. What is the magnitude of the centripetal force?
A. 3.2 x 10⁴ N
B. 6.4 x 10⁴ N
C. 12.8 x 10⁴ N
D. 25.6 x 10⁴ N

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