POST UTME UI 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A block of mass 5 kg is placed on a frictionless surface and connected to a horizontal spring with a spring cons\tant of 200 N/m. The block is displaced from its equilibrium position by 0.1 m and released from rest. Assuming the motion is simple harmonic, calculate the period of the motion.
A. 0.5 s
B. 1.0 s
C. 1.5 s
D. 2.0 s
Question 2
A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle is subjected to a centripetal force of 10 N, what is its angular velocity?
A. 2 rad/s
B. 4 rad/s
C. 6 rad/s
D. 8 rad/s
Question 3
A 10 μC charge is moving in a circular path of radius 2 m with a cons\tant speed of 3 m/s. If the charge is subjected to a magnetic field of 0.5 T, determine the magnitude of the force required to maintain the charge in its circular path.
A. 0.1 N
B. 0.2 N
C. 0.3 N
D. 0.4 N
Question 4
A heat engine operates between two temperatures $T_1$ and $T_2$, with $T_1 > T_2$. If the engine absorbs $Q_1$ amount of heat from the high-temperature reservoir and rejects $Q_2$ amount of heat to the low-temperature reservoir, what is the efficiency of the engine?
A. 1 - \frac{T_2}{T_1}
B. \frac{T_2}{T_1}
C. 1 - \frac{Q_2}{Q_1}
D. \frac{Q_2}{Q_1}
Question 5
A ray of light passes from air into a glass of re\fractive index $n$. If the angle of incidence is $\theta_i$ and the angle of re\fraction is $\theta_r$, what is the relationship between $\theta_i$ and $\theta_r$?
A. \frac{\sin \theta_i}{\sin \theta_r} = n
B. \frac{\sin \theta_r}{\sin \theta_i} = n
C. \frac{\cos \theta_i}{\cos \theta_r} = n
D. \frac{\cos \theta_r}{\cos \theta_i} = n
Question 6
A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. It is displaced from its equilibrium position by 0.2 m and released from rest. Assuming the motion is simple harmonic, calculate the maximum speed of the particle.
A. 0.5 m/s
B. 1.0 m/s
C. 1.5 m/s
D. 2.0 m/s
Question 7
A circuit consists of a 10 Ω resistor connected in series with a 20 Ω resistor. If a potential difference of 30 V is applied across the circuit, what is the current flowing through the 10 Ω resistor?
A. 1 A
B. 1.5 A
C. 2 A
D. 2.5 A
Question 8
A body of mass 5 kg is moving with a velocity of 10 m/s. If it is subjected to a force of 20 N, what is its acceleration?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 9
A particle of mass 3 kg is moving in a circular path with a radius of 0.5 m. The particle is subject to a centripetal force of 10 N. Calculate the speed of the particle.
A. 2.0 m/s
B. 4.0 m/s
C. 6.0 m/s
D. 8.0 m/s
Question 10
A 5 Ω resistor is connected in series with a 10 Ω resistor and a 15 Ω resistor. If a potential difference of 20 V is applied across the circuit, what is the current flowing through the 5 Ω resistor?
A. 0.5 A
B. 1 A
C. 1.5 A
D. 2 A
Question 11
A 10 μF capacitor is connected in series with a 20 Ω resistor and a 5 V battery. What is the current flowing through the circuit?
A. 0.25 A
B. 0.5 A
C. 1 A
D. 2 A
Question 12
A photon of wavelength 500 nm is incident on a metal surface with work function 2.5 eV. What is the maximum kinetic energy of the emitted electron?
A. 1.25 eV
B. 1.5 eV
C. 1.75 eV
D. 2.0 eV
Question 13
A 2 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position, determine the magnitude of the force exerted by the spring on the block.
A. \( 20 , \text{N} \)
B. \( 40 , \text{N} \)
C. \( 60 , \text{N} \)
D. \( 80 , \text{N} \)
Question 14
A light ray passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 25°
C. 30°
D. 35°
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. If the particle is subjected to a centripetal force of 12 N, determine the magnitude of the force required to maintain the particle in its circular path.
A. 15 N
B. 20 N
C. 25 N
D. 30 N

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: