POST UTME BOWEN UNIVERSITY 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 5 Ω resistor is connected in series with a 10 V battery. If the current through the resistor is 0.2 A, what is the power dissipated by the resistor?
A. 0.1 W
B. 0.2 W
C. 0.5 W
D. 1 W
Question 2
A vector has a magnitude of 5 units and makes an angle of 30° with the x-axis. What is the y-component of the vector?
A. 2.5 units
B. 4.33 units
C. 5.0 units
D. 6.25 units
Question 3
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 4
A 5 μF capacitor is connected in series with a 10 kΩ resistor and a 20 V battery. If the initial charge on the capacitor is 0 C, calculate the time taken for the charge to reach 10 μC.
A. 0.1 s
B. 0.5 s
C. 1 s
D. 2 s
Question 5
A simple harmonic motion has a maximum displacement of 2 m and a frequency of 4 Hz. Calculate the angular frequency.
A. 8\pi rad/s
B. 16\pi rad/s
C. 32\pi rad/s
D. 64\pi rad/s
Question 6
A particle of mass 2 kg is attached to a spring with a force cons\tant of 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released from rest, what is its angular frequency?
A. 2 rad/s
B. 5 rad/s
C. 10 rad/s
D. 20 rad/s
Question 7
A 2.5 mH inductor is connected in series with a 10 Ω resistor and a 20 V battery. If the initial current is 0 A, calculate the time taken for the current to reach 5 A.
A. 0.5 s
B. 1 s
C. 2 s
D. 5 s
Question 8
A body is moving in a circular path with a radius of 2 m. If the body completes one revolution in 4 s, what is its angular velocity?
A. 1.57 rad/s
B. 3.14 rad/s
C. 4.71 rad/s
D. 6.28 rad/s
Question 9
A particle of mass 0.5 kg is attached to a spring with a spring cons\tant of 100 N/m. It is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the total energy of the particle at time t = 0.
A. 10 J
B. 20 J
C. 30 J
D. 40 J
Question 10
A particle of mass 1 kg is in a one-dimensional potential well given by V(x) = 0 for 0 ≤ x ≤ 2 m and V(x) = ∞ for x < 0 and x > 2 m. Determine the ground-state energy of the particle.
A. 0.1 J
B. 0.2 J
C. 0.3 J
D. 0.4 J
Question 11
A sound wave has a frequency of 200 Hz and a wavelength of 0.5 m. What is the speed of the sound wave?
A. 100 m/s
B. 200 m/s
C. 400 m/s
D. 800 m/s
Question 12
A 50 Ω resistor is connected in parallel with a 100 Ω resistor. If a 10 V battery is connected across the combination, what is the total current drawn from the battery?
A. 0.2 A
B. 0.4 A
C. 0.6 A
D. 0.8 A
Question 13
A 2 kg block is moving in a straight line with a speed of 5 m/s. If a force of 10 N is applied to the block, what is its acceleration?
A. 2 m/s^2
B. 3 m/s^2
C. 4 m/s^2
D. 5 m/s^2
Question 14
A particle of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. Determine the magnitude of the centripetal force acting on the particle.
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 15
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. The particle is subject to a centripetal force $F_c = \frac{mv^2}{r}$. What is the kinetic energy of the particle?
A. \frac{1}{2} mv^2
B. \frac{mv^2}{r}
C. \frac{mv^2}{2r}
D. \frac{mv^2}{4r}

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