POST UTME WELLSPRING UNIVERSITY 2024 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A light source is placed 2 m away from a convex lens of focal length 0.5 m. If the image is formed 1 m away from the lens, calculate the magnification.
A. -2
B. -1
C. 1
D. 2
Question 2
A charged particle of mass $m$ and charge $q$ is moving in a uniform magnetic field $B$. The particle has a velocity $v$ perp\endicular to the magnetic field. What is the radius of the circular orbit?
A. \( \frac{mv}{qB} \)
B. \( \frac{m^2v}{q^2B} \)
C. \( \frac{m^2v^2}{q^2B} \)
D. \( \frac{m^2v^2}{qB} \)
Question 3
A block of mass 4 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 25 N/m. If the block is displaced by 3 m from its equilibrium position and released from rest, what is the maximum speed of the block?
A. 3 m/s
B. 4 m/s
C. 5 m/s
D. 6 m/s
Question 4
A photon has an energy of 2.5 eV. What is its wavelength?
A. 500 nm
B. 600 nm
C. 700 nm
D. 800 nm
Question 5
A particle of mass 3 kg is moving in a circular path of radius 4 m with a cons\tant speed of 5 m/s. If the particle is subjected to a centripetal force of 15 N, what is the magnitude of the acceleration of the particle?
A. 6 m/s^2
B. 8 m/s^2
C. 10 m/s^2
D. 12 m/s^2
Question 6
A particle is moving in a circular path with a cons\tant speed of 5 m/s. If the radius of the path is 2 m, what is the magnitude of the acceleration of the particle?
A. 10 m/s^2
B. 5 m/s^2
C. 2.5 m/s^2
D. 1.25 m/s^2
Question 7
A parallel plate capacitor has plates of area $A$ and separation $d$. If the capaci\tance is $C$, what is the value of the dielectric cons\tant $K$?
A. \frac{Cd}{\epsilon_0A}
B. \frac{\epsilon_0A}{Cd}
C. \frac{Cd}{\epsilon_0}
D. \frac{\epsilon_0A}{d}
Question 8
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. The magnetic field $B$ is perp\endicular to the plane of the orbit. What is the magnitude of the magnetic field $B$ required to keep the particle in a stable orbit?
A. \( \frac{mv}{qr} \)
B. \( \frac{mv^2}{qr} \)
C. \( \frac{m^2v}{qr^2} \)
D. \( \frac{m^2v^2}{qr^2} \)
Question 9
A radioactive sample has a half-life of 10 days. If the initial activity is 100 Bq, what is the activity after 30 days?
A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq
Question 10
A block of mass 5 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 20 N/m. If the block is displaced by 2 m from its equilibrium position and released from rest, 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 11
A vector has a magnitude of 5 units and makes an angle of 30° with the positive x-axis. What is its x-component?
A. 2.5 units
B. 3 units
C. 4 units
D. 5 units
Question 12
A gas at 300 K and 1 atm expands to twice its original volume. Calculate the new pressure.
A. 0.5 atm
B. 1 atm
C. 2 atm
D. 4 atm
Question 13
A parallel plate capacitor has a capaci\tance $C$ and a plate separation $d$. The capacitor is connected to a battery of voltage $V$. What is the energy stored in the capacitor?
A. \( \frac{1}{2} CV^2 \)
B. \( CV^2 \)
C. \( \frac{1}{2} CdV^2 \)
D. \( CdV^2 \)
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. 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. 8 m/s^2
C. 12 m/s^2
D. 16 m/s^2
Question 15
A light ray passes through a prism and is re\fracted. If the angle of incidence is 30° and the angle of re\fraction is 20°, what is the angle of deviation?
A. 40°
B. 50°
C. 60°
D. 70°

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