POST UTME UI 2021 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 2
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 angular velocity of the particle?
A. 2 rad/s
B. 4 rad/s
C. 6 rad/s
D. 8 rad/s
Question 3
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 centripetal force $F_c = \frac{mv^2}{R}$, what is the work done by this force as the particle moves through an angle $\theta$?
A. \( W = \frac{1}{2}mv^2\( 1 - \cos \theta \ \) )
B. \( W = \frac{1}{2}mv^2\( 1 + \cos \theta \ \) )
C. \( W = mv^2\( 1 - \cos \theta \ \) )
D. \( W = mv^2\( 1 + \cos \theta \ \) )
Question 4
A spring with a force cons\tant of 500 N/m is stretched by 0.5 m. If the spring is then released from rest, what is the maximum kinetic energy of the spring?
A. 125 J
B. 250 J
C. 375 J
D. 500 J
Question 5
A radioactive sample has a half-life of 5 years. If the initial activity is 100 Bq, what is the activity after 10 years?
A. 12.5 Bq
B. 25.0 Bq
C. 50.0 Bq
D. 100 Bq
Question 6
A fluid of density 1000 kg/m³ is flowing through a horizontal pipe with a cross-sectional area of 0.01 m². If the pressure difference between the two \ends of the pipe is 1000 Pa, what is the velocity of the fluid?
A. 1 m/s
B. 2 m/s
C. 3 m/s
D. 4 m/s
Question 7
A 5 kg block is susp\ended from a spring with a spring cons\tant of 100 N/m. What is the displacement of the block when a force of 20 N is applied?
A. 0.2 m
B. 0.5 m
C. 1 m
D. 2 m
Question 8
A ray of light is incident on a prism with an angle of incidence $i$ and an angle of re\fraction $r$. If the prism has a re\fractive index $n$, what is the angle of deviation?
A. \( delta = i - r \)
B. \( delta = i + r \)
C. \( delta = 2i - r \)
D. \( delta = 2r - i \)
Question 9
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. What is the magnitude of the force acting on the particle?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 10
A block of mass 5 kg is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. 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 fluid of density 1000 kg/m^3 is subjected to a pressure of 10^5 Pa. What is the depth of the fluid?
A. 1.0 m
B. 2.0 m
C. 3.0 m
D. 4.0 m
Question 12
A 10 V battery is connected to a 20 Ω resistor. If the current in the circuit is 0.5 A, what is the power consumed by the resistor?
A. 5 W
B. 10 W
C. 20 W
D. 50 W
Question 13
A point charge of 2 μC is placed at the center of a conducting sphere of radius 5 cm. What is the electric flux through the sphere?
A. 1.0 x 10^6 Nm^2/C
B. 2.0 x 10^6 Nm^2/C
C. 3.0 x 10^6 Nm^2/C
D. 4.0 x 10^6 Nm^2/C
Question 14
A particle of mass 0.5 kg is projected at an angle of 60° to the horizontal with an initial velocity of 20 m/s. What is the time of flight?
A. 1.0 s
B. 2.0 s
C. 3.0 s
D. 4.0 s
Question 15
A 100 Ω resistor is connected in series with a 200 Ω resistor and a 50 Ω resistor. What is the equivalent resis\tance of the circuit?
A. 300 Ω
B. 350 Ω
C. 400 Ω
D. 450 Ω

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