POST UTME NILE UNIVERSITY 2020 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A capacitor consists of two parallel plates separated by a dis\tance of 2 mm. The capaci\tance of the capacitor is 10 µF. What is the charge on the capacitor when a potential difference of 5 V is applied across it?
A. 50 µC
B. 100 µC
C. 150 µC
D. 200 µC
Question 2
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. What is the magnitude of the centripetal acceleration of the particle?
A. 2.0 m/s^2
B. 4.0 m/s^2
C. 6.0 m/s^2
D. 8.0 m/s^2
Question 3
A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. Determine the centripetal force acting on the particle.
A. 16 N
B. 32 N
C. 48 N
D. 64 N
Question 4
A 100 Ω resistor is connected in parallel with a 200 Ω resistor. If a 12 V battery is connected across the combination, what is the current flowing through the 100 Ω resistor?
A. 0.2 A
B. 0.4 A
C. 0.6 A
D. 0.8 A
Question 5
A particle of mass $m$ is moving in a circular orbit with radius $r$ and angular velocity $\omega$. Find the centripetal force acting on the particle.
A. \frac{mv^2}{r}
B. \frac{mv^2}{2r}
C. \frac{mv^2}{4r}
D. \frac{mv^2}{8r}
Question 6
A photon has an energy of 2 eV. What is the wavelength of the photon?
A. 100 nm
B. 200 nm
C. 300 nm
D. 400 nm
Question 7
A circuit consists of a $10\Omega$ resistor, a $20\mu F$ capacitor, and a $50\mu H$ inductor in series. The circuit is driven by a $10\sin(1000t)$ V source. Find the impedance of the circuit.
A. 10\Omega
B. 20\Omega
C. 30\Omega
D. 40\Omega
Question 8
A convex lens with focal length f = 0.2 m is placed in a beam of light with wavelength λ = 500 nm. If the lens is illuminated with a parallel beam of light, what is the angle of divergence of the light beam after pas\sing through the lens?
A. 0.001 rad
B. 0.002 rad
C. 0.003 rad
D. 0.004 rad
Question 9
A simple harmonic motion has a period T = 2 s and an amplitude A = 0.5 m. If the initial phase angle is φ = π/4 rad, what is the equation of motion?
A. x(t) = 0.5 \cos \( πt/2 + π/4 \)
B. x(t) = 0.5 \cos \( πt/2 - π/4 \)
C. x(t) = 0.5 \cos \( πt/2 \)
D. x(t) = 0.5 \cos \( πt/4 \)
Question 10
A magnetic field of magnitude 0.5 T is directed along the x-axis. A current of 2 A is flowing in a wire that lies in the yz-plane. What is the magnitude of the magnetic force on a 0.1 m long section of the wire?
A. 0.01 N
B. 0.02 N
C. 0.03 N
D. 0.04 N
Question 11
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 acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?
A. 10 N
B. 12 N
C. 15 N
D. 20 N
Question 12
A light ray passes from air into a glass block with re\fractive index $\mu = 1.5$. If the angle of incidence is $30^\circ$, find the angle of re\fraction.
A. 20^\circ
B. 30^\circ
C. 40^\circ
D. 50^\circ
Question 13
A particle of mass 1 kg is moving in a circular path of radius 2 m with a cons\tant speed of 5 m/s. If the particle is subjected to a centripetal acceleration of 1 m/s^2, what is the magnitude of the force acting on the particle?
A. 5 N
B. 10 N
C. 15 N
D. 20 N
Question 14
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the circuit is closed, what is the current flowing through the 6 Ω resistor?
A. 0.5 A
B. 1 A
C. 1.5 A
D. 2 A
Question 15
A vector θ has a magnitude of 5 units and makes an angle of 30° with the positive x-axis. What is the x-component of the vector?
A. 2.5
B. 4.33
C. 5
D. 7.07

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