POST UTME VERITAS UNIVERSITY 2024 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A light ray passes from a glass of re\fractive index 1.5 into air. If the angle of incidence is 40°, what is the angle of re\fraction?
A. 30°
B. 40°
C. 50°
D. 60°
Question 2
A sound wave with frequency $f$ and amplitude $A$ is traveling through a medium with speed $v$. If the wave is reflected off a rigid surface, what is the frequency of the reflected wave?
A. f
B. 2f
C. f/2
D. f + v
Question 3
A convex lens of focal length 20cm is placed 30cm in front of a screen. If an object is placed 40cm in front of the lens, calculate the position of the image formed on the screen.
A. 60cm
B. 80cm
C. 100cm
D. 120cm
Question 4
A capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 50 V. If the capacitor is connected to a resistor of 100 Ω, determine the time cons\tant of the circuit.
A. 0.1 s
B. 0.5 s
C. 1.0 s
D. 2.0 s
Question 5
A ray of light passes through a prism and is re\fracted. If the angle of incidence is 30° and the angle of re\fraction is 40°, determine the angle of deviation.
A. 20°
B. 30°
C. 40°
D. 50°
Question 6
A 100 W bulb is connected to a 230 V supply. If the resis\tance of the bulb is 100 Ω, what is the current flowing through it?
A. 0.5 A
B. 1 A
C. 2 A
D. 5 A
Question 7
A beam of light passes through a prism and is re\fracted. The angle of incidence is 30° and the angle of re\fraction is 20°. What is the angle of deviation?
A. 10°
B. 20°
C. 30°
D. 40°
Question 8
A particle of mass 0.5 kg is moving in a circular path of radius 0.1 m with a speed of 2 m/s. If the particle is subject to a centripetal force of 0.5 N, calculate the time taken for the particle to complete one revolution.
A. 10 s
B. 20 s
C. 30 s
D. 40 s
Question 9
A solid cylindrical rod of radius 0.05 m and length 1.5 m is made of a material with Young's modulus of 2.0 x 10^11 N/m^2. If a force of 50 N is applied \tangentially to the rod, what is the angular displacement of the rod from its original position?
A. 0.01 rad
B. 0.02 rad
C. 0.03 rad
D. 0.04 rad
Question 10
A particle of mass 2kg is attached to a spring of spring cons\tant 100N/m. If the particle is displaced by 0.5m from its equilibrium position and released, calculate the frequency of oscillation.
A. 1Hz
B. 2Hz
C. 3Hz
D. 4Hz
Question 11
A charged particle of mass $m$ and charge $q$ moves through a uniform magnetic field of strength $B$ with an initial velocity $v_0$ perp\endicular to the magnetic field. If the particle's velocity is reduced to $v$ after traveling a dis\tance $d$, what is the magnitude of the magnetic field?
A. B = \frac{m\( v_0 - v \)}{qd}
B. B = \frac{m\( v_0 + v \)}{qd}
C. B = \frac{mv}{qd}
D. B = \frac{m\( v_0 - v \)}{q^2d}
Question 12
A magnetic field of 0.5 T is directed along the z-axis. A current of 2 A flows in a circular loop of radius 0.1 m placed in the x-y plane. What is the magnitude of the magnetic moment of the loop?
A. 0.1 A m^2
B. 0.2 A m^2
C. 0.3 A m^2
D. 0.4 A m^2
Question 13
A point charge of +2μC is placed 10cm from a metal sphere of radius 5cm. If the sphere is earthed, calculate the electric potential at the surface of the sphere.
A. 100V
B. 200V
C. 300V
D. 400V
Question 14
A ray of light passes through a lens and is focused. If the focal length of the lens is 20 cm and the object dis\tance is 30 cm, determine the image dis\tance.
A. 10 cm
B. 20 cm
C. 30 cm
D. 40 cm
Question 15
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The wave function of the particle is given by $psi(x) = \sqrt{\frac{2}{L}} \sinleft\( \frac{npi x}{L}\right \)$, where $n$ is a positive integer. What is the expectation value of the position of the particle?
A. L/2
B. nπL/2
C. L/4
D. nπL/4

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