POST UTME NILE UNIVERSITY 2020 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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
Question 2
A sound wave with frequency f = 200 Hz and amplitude A = 0.5 m is traveling through a medium with speed v = 343 m/s. If the wave is reflected off a surface, what is the frequency of the reflected wave?
A. 200 Hz
B. 400 Hz
C. 600 Hz
D. 800 Hz
Question 3
A particle of charge q = 2 x 10^-6 C is moving in a circular path of radius r = 0.5 m with a speed v = 5 m/s. If the magnetic field strength is B = 0.2 T, what is the magnitude of the force acting on the particle?
A. 0.01 N
B. 0.02 N
C. 0.03 N
D. 0.04 N
Question 4
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 5
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 6
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 7
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 8
A particle of mass $m$ is attached to a spring with spring cons\tant $k$. The particle is displaced from its equilibrium position by a dis\tance $x_0$ and released from rest. Assuming the motion is simple harmonic, find the angular frequency of the particle's motion.
A. \sqrt{\frac{k}{m}}
B. \frac{k}{m}
C. \frac{m}{k}
D. \frac{1}{\sqrt{mk}}
Question 9
A radioactive sample of Uranium-238 undergoes \alpha decay. If the initial mass of the sample is 100 g and the half-life of Uranium-238 is 4.5 x 10^9 years, what is the mass of the sample after 1.8 x 10^9 years?
A. 50 g
B. 25 g
C. 75 g
D. 37.5 g
Question 10
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 11
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. The capaci\tance is 2.5 nF. If a potential difference of 10 V is applied across the plates, what is the magnitude of the electric field between the plates?
A. 5.0 x 10^3 V/m
B. 1.0 x 10^4 V/m
C. 2.0 x 10^4 V/m
D. 5.0 x 10^4 V/m
Question 12
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 13
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 14
A wave with frequency $f$ and wavelength $\lambda$ is incident on a barrier with a \single slit of width $a$. Find the intensity of the wave at a point on the screen a dis\tance $x$ from the center of the slit.
A. \frac{I_0}{4}
B. \frac{I_0}{2}
C. I_0
D. 2I_0
Question 15
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

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Help others prepare! Share this practice hub: