POST UTME NOUN 2017 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A parallel plate capacitor has a capaci\tance of 5 μF and is charged to a potential difference of 10 V. If the plates are separated by a dis\tance of 2 mm, what is the surface charge density on the plates?
A. 2.5 x 10^\( -6 \) C/m^2
B. 5.0 x 10^\( -6 \) C/m^2
C. 7.5 x 10^\( -6 \) C/m^2
D. 1.0 x 10^\( -5 \) C/m^2
Question 2
A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. If the particle is subject to a centripetal force of 12 N, what is the angle between the force and the radius vector?
A. 30°
B. 45°
C. 60°
D. 75°
Question 3
A 100 W light bulb is connected to a 220 V power source. If the resis\tance of the bulb is 200 Ω, what is the current flowing through the bulb?
A. 0.5 A
B. 1 A
C. 1.5 A
D. 2 A
Question 4
A wave has a frequency of 50 Hz and a wavelength of 2 m. What is the speed of the wave?
A. 100 m/s
B. 200 m/s
C. 300 m/s
D. 400 m/s
Question 5
A 10 kg block is attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released, what is the maximum speed of the block?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 6
A \sinusoidal voltage of peak value 100 V and frequency 50 Hz is applied across a resistor of resis\tance 10 ohms. What is the rms value of the current flowing through the resistor?
A. 5 A
B. 10 A
C. 20 A
D. 50 A
Question 7
A magnetic field of 0.5 T is applied to a coil of 100 turns and radius 0.1 m. If the current in the coil is 2 A, what is the torque on the coil?
A. 0.1 Nm
B. 0.2 Nm
C. 0.3 Nm
D. 0.4 Nm
Question 8
A circuit consists of a 9 V battery, a 2 Ω resistor, and a 3 Ω resistor connected in parallel. Calculate the total resis\tance of the circuit.
A. 1 Ω
B. 2 Ω
C. 3 Ω
D. 4 Ω
Question 9
A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. It is displaced from its equilibrium position by 0.2 m and released from rest. Assuming the motion is simple harmonic, calculate the angular frequency of the particle's motion.
A. 10 rad/s
B. 20 rad/s
C. 30 rad/s
D. 40 rad/s
Question 10
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. If the particle is subjected to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?
A. 4 m/s^2
B. 6 m/s^2
C. 8 m/s^2
D. 10 m/s^2
Question 11
A body of mass 5 kg is moving in a straight line with an initial velocity of 10 m/s. If the body is subjected to a force of 20 N, what is the acceleration of the body?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 12
A wave has a frequency of 100 Hz and a wavelength of 1 m. If the wave is traveling in the positive x-direction, what is the direction of the particle velocity?
A. in the positive x-direction
B. in the negative x-direction
C. perp\endicular to the direction of propagation
D. in the direction of propagation
Question 13
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8.0 x 10^-12 F, what is the charge on the plates when the potential difference between them is 100 V?
A. 4.0 x 10^-10 C
B. 8.0 x 10^-10 C
C. 1.6 x 10^-9 C
D. 3.2 x 10^-9 C
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. If the particle is subject to a centripetal force of 12 N, what is the magnitude of the force?
A. 10 N
B. 12 N
C. 15 N
D. 20 N
Question 15
A gas is compressed adiabatically from an initial volume $V_1$ to a final volume $V_2$. If the initial pressure is $P_1$ and the final pressure is $P_2$, find the ratio of the final pressure to the initial pressure.
A. \( \frac{P_2}{P_1} = left\( \frac{V_1}{V_2} \right \ \)^{\gamma} )
B. \( \frac{P_2}{P_1} = left\( \frac{V_2}{V_1} \right \ \)^{\gamma} )
C. \( \frac{P_2}{P_1} = left\( \frac{V_1}{V_2} \right \ \)^{-\gamma} )
D. \( \frac{P_2}{P_1} = left\( \frac{V_2}{V_1} \right \ \)^{-\gamma} )

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