POST UTME UI 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A point charge of +2.0 μC is placed at the origin. What is the electric potential at a point 0.50 m away from the charge?
A. 100 V
B. 200 V
C. 300 V
D. 400 V
Question 2
A block of mass $m$ is attached to a horizontal, massless spring with spring cons\tant $k$. The block is displaced by a dis\tance $x$ from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, what is the angular frequency of the motion?
A. \( \sqrt{\frac{k}{m}} \)
B. \( \frac{k}{m} \)
C. \( \frac{m}{k} \)
D. \( \sqrt{\frac{m}{k}} \)
Question 3
A block of mass 5 kg is moving with a velocity of 2 m/s on a frictionless surface. If a force of 10 N is applied to the block in the direction of motion, what is the work done by the force?
A. 20 J
B. 30 J
C. 40 J
D. 50 J
Question 4
A nucleus of mass number 240 and atomic number 94 undergoes \alpha decay. What is the mass number of the daughter nucleus?
A. 236
B. 238
C. 240
D. 242
Question 5
A gas expands from an initial volume of 1 m^3 to a final volume of 2 m^3 at a cons\tant temperature. Calculate the work done by the gas.
A. 1 J
B. 2 J
C. 3 J
D. 4 J
Question 6
A radioactive sample decays at a rate of 0.05% per hour. If the initial activity is 1000 Bq, what is the activity after 5 hours?
A. 500 Bq
B. 750 Bq
C. 1000 Bq
D. 1250 Bq
Question 7
A gas is contained in a cylinder of volume 2 m^3 at a pressure of 100 kPa. If the pressure is increased to 200 kPa, calculate the new volume of the gas.
A. 1 m^3
B. 2 m^3
C. 3 m^3
D. 4 m^3
Question 8
A uniform magnetic field of magnitude 2.0 T is directed along the positive z-axis. A current of 5.0 A flows in a circular loop of radius 0.20 m, placed in the x-y plane. What is the magnitude of the magnetic moment of the loop?
A. 0.10 A m^2
B. 0.20 A m^2
C. 0.30 A m^2
D. 0.40 A m^2
Question 9
A particle of mass $m$ is moving in a circular path of radius $R$ with a cons\tant speed $v$. If the particle is subjected to a uniform magnetic field of strength $B$ directed perp\endicular to the plane of the circular path, what is the magnitude of the force exerted on the particle?
A. \( \frac{mv^2}{R} \)
B. \( \frac{mv}{R} \)
C. \( \frac{m^2v^2}{R^2} \)
D. \( \frac{mv^2}{B} \)
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. Calculate the centripetal force acting on the particle.
A. 12 N
B. 24 N
C. 36 N
D. 48 N
Question 11
A light ray passes through a prism of angle $\alpha$ and is incident at an angle $\theta$ to the principal axis. What is the angle of deviation?
A. \alpha - \theta
B. \alpha + \theta
C. \alpha - \theta + \sin\alpha\cos\theta
D. \alpha + \theta - \sin\alpha\cos\theta
Question 12
A circuit consists of a resistor $R$ and an inductor $L$ connected in series. The circuit is driven by a voltage source $V(t) = V_0\cos\omega t$. What is the impedance?
A. \sqrt{R^2 + L^2\omega^2}
B. \sqrt{R^2 - L^2\omega^2}
C. \sqrt{R^2 + L^2\omega^2}\cos\omega t
D. \sqrt{R^2 - L^2\omega^2}\cos\omega t
Question 13
A parallel plate capacitor consists of two plates, each of area 0.04 m^2, separated by a dis\tance of 0.02 m. The capaci\tance of the capacitor is 2.5 x 10^-10 F. If a potential difference of 10 V is applied across the plates, calculate the charge stored on each plate.
A. 1.25 x 10^-9 C
B. 2.5 x 10^-9 C
C. 5 x 10^-9 C
D. 7.5 x 10^-9 C
Question 14
A 10 ohm resistor is connected in parallel with a 20 ohm resistor. What is the equivalent resis\tance?
A. 5 ohms
B. 10 ohms
C. 15 ohms
D. 20 ohms
Question 15
A particle of mass $m$ is moving in a circular path of radius $R$ with a cons\tant speed $v$. If the particle is subjected to a uniform magnetic field of strength $B$ directed perp\endicular to the plane of the circular path, what is the magnitude of the force exerted on the particle?
A. \( \frac{mv^2}{R} \)
B. \( \frac{mv}{R} \)
C. \( \frac{m^2v^2}{R^2} \)
D. \( \frac{mv^2}{B} \)

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