POST UTME UI 2021 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 2
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 3
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
Question 4
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 5
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. 10 m/s^2
B. 12 m/s^2
C. 15 m/s^2
D. 20 m/s^2
Question 6
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 7
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 8
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 9
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 10
A projectile is launched from the ground with an initial velocity $v_0$ at an angle $\theta$ above the horizontal. If the projectile is subject to a cons\tant acceleration due to gravity $g$, what is the maximum height reached by the projectile?
A. \( h_{max} = \frac{v_0^2 \sin^2 \theta}{2g} \)
B. \( h_{max} = \frac{v_0^2 \cos^2 \theta}{2g} \)
C. \( h_{max} = \frac{v_0^2 \sin \theta}{2g} \)
D. \( h_{max} = \frac{v_0^2 \cos \theta}{2g} \)
Question 11
A 2 kg block is attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position, what is the magnitude of the force exerted by the spring on the block?
A. 20 N
B. 40 N
C. 60 N
D. 80 N
Question 12
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 13
A wave of frequency $f$ and wavelength $lambda$ is traveling through a medium. If the wave is reflected from a fixed \end, what is the phase difference between the incident and reflected waves?
A. \( Delta phi = 0 \)
B. \( Delta phi = pi \)
C. \( Delta phi = 2pi \)
D. \( Delta phi = -pi \)
Question 14
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 15
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

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