POST UTME NOUN 2021 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A beam of light is pas\sing through a prism with an angle of re\fraction $\theta_r$. If the angle of incidence is $\theta_i$, what is the angle of re\fraction?
A. \theta_i
B. \theta_i + \theta_r
C. \theta_i - \theta_r
D. \theta_i + \theta_r + \theta_r
Question 2
A parallel plate capacitor has a capaci\tance of $C$. If the dis\tance between the plates is doubled, what happens to the capaci\tance?
A. Increases by a factor of 2
B. Decreases by a factor of 2
C. Remains unchanged
D. Increases by a factor of 4
Question 3
A gas at 300 K and 1 atm expands to 2 atm. If the initial volume is 2 L, what is the final volume?
A. 4 L
B. 2 L
C. 1 L
D. 0.5 L
Question 4
A vector has a magnitude of 5 m and makes an angle of 30° with the x-axis. Calculate the x and y components of the vector.
A. x-component = 4 m, y-component = 2.5 m
B. x-component = 3 m, y-component = 4 m
C. x-component = 2 m, y-component = 5 m
D. x-component = 1 m, y-component = 6 m
Question 5
A 200 V, 50 Hz AC supply is connected across a resistor of 10 Ω. Calculate the rms value of the current flowing through the resistor.
A. 2 A
B. 4 A
C. 6 A
D. 8 A
Question 6
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. 8 m/s^2
B. 10 m/s^2
C. 12 m/s^2
D. 16 m/s^2
Question 7
A convex lens of focal length 20 cm is placed in contact with a concave lens of focal length -15 cm. What is the focal length of the combination?
A. 10 cm
B. 15 cm
C. 20 cm
D. 30 cm
Question 8
A radioactive sample decays from 100 g to 50 g in 10 years. Calculate the half-life of the sample.
A. 5 years
B. 10 years
C. 15 years
D. 20 years
Question 9
A force of 10 N is applied to a spring with a spring cons\tant of 2 N/m. Calculate the displacement of the spring.
A. 2 m
B. 4 m
C. 5 m
D. 6 m
Question 10
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in parallel. What is the total resis\tance of the circuit?
A. 2 Ω
B. 3 Ω
C. 4 Ω
D. 6 Ω
Question 11
A particle of mass 2 kg is attached to a spring with spring cons\tant 100 N/m. If the particle is displaced by 0.5 m from its equilibrium position and released from rest, determine the angular frequency of the resulting simple harmonic motion.
A. 10 rad/s
B. 20 rad/s
C. 30 rad/s
D. 40 rad/s
Question 12
A block of mass $m$ is attached to a horizontal spring of spring cons\tant $k$. If the block is displaced by a dis\tance $x$ and released, what is the maximum speed of the block?
A. $v_{max} = \sqrt{\frac{kx^2}{m}}$
B. $v_{max} = \sqrt{\frac{mx^2}{k}}$
C. $v_{max} = \sqrt{\frac{k}{m}}x$
D. $v_{max} = \sqrt{\frac{m}{k}}x
Question 13
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If air resis\tance is neglected, what is the maximum height reached by the projectile?
A. 10 m
B. 15 m
C. 20 m
D. 25 m
Question 14
A circuit consists of a battery of emf $mathcal{E}$, a resistor of resis\tance $R$, and an inductor of induc\tance $L$. If the circuit is connected to a switch that is closed at time $t=0$, what is the current in the circuit at time $t$?
A. $i(t) = \frac{mathcal{E}}{R}\( 1-e^{-\frac{Rt}{L}} \)$
B. $i(t) = \frac{mathcal{E}}{R}\( 1+e^{-\frac{Rt}{L}} \)$
C. $i(t) = \frac{mathcal{E}}{R}\( e^{-\frac{Rt}{L}} \)$
D. $i(t) = \frac{mathcal{E}}{R}\( e^{\frac{Rt}{L}} \)$
Question 15
A particle of mass 3 kg is moving in a circular path of radius 3 m with a cons\tant speed of 6 m/s. Determine the magnitude of the force acting on the particle.
A. 60 N
B. 80 N
C. 100 N
D. 120 N

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