POST UTME UI 2017 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. If the particle is subject to a centripetal force $F_c$, find the value of $F_c$ in terms of $m$, $v$, and $r$.
A. mv^2/r
B. m^2v^2/r
C. mv/r^2
D. m^2/r^2
Question 2
A thermodynamic system undergoes a process in which its internal energy remains cons\tant. What is the work done by the system during this process?
A. Positive
B. Negative
C. Zero
D. Dep\ends on the system
Question 3
A parallel plate capacitor has plates of area $A$ and separation $d$. If the capaci\tance is $C$, find the value of $d$ in terms of $C$ and $A$.
A. Cd
B. CA
C. d/C
D. C^2d
Question 4
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 from rest, find the equation of motion of the block.
A. m \frac{d^2x}{dt^2} = -kx
B. m \frac{dx}{dt} = -kx
C. m \frac{d^2x}{dt^2} = kx
D. m \frac{dx}{dt} = kx
Question 5
A gas is confined to a cylinder of volume 2 m^3 at a temperature of 300 K. If the gas is heated to a temperature of 400 K, what is the new volume of the gas?
A. 1.33 m^3
B. 2.33 m^3
C. 2.67 m^3
D. 3.33 m^3
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 acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?
A. 6 N
B. 8 N
C. 10 N
D. 12 N
Question 7
A light ray passes through a prism with an angle of incidence $\theta_i = 30^\circ$ and an angle of re\fraction $\theta_r = 20^\circ$. If the prism has a re\fractive index $n = 1.5$, what is the angle of deviation $\delta$?
A. 10^\circ
B. 20^\circ
C. 30^\circ
D. 40^\circ
Question 8
A parallel plate capacitor has a capaci\tance of 10 μF. The potential difference between the plates is 5 V. What is the charge stored on the capacitor?
A. 50 μC
B. 100 μC
C. 150 μC
D. 200 μC
Question 9
A ray of light 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 10
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 centripetal 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 11
A photon of energy 2.5 eV is incident on a metal surface with work function 1.8 eV. What is the maximum kinetic energy of the photoelectron?
A. 0.2 eV
B. 0.5 eV
C. 0.8 eV
D. 1.0 eV
Question 12
A light source is placed at a dis\tance $d = 1$ m from a convex lens with a focal length $f = 0.5$ m. If the light source is moved to a dis\tance $d' = 2$ m, what is the new image dis\tance $s'$?
A. 1 m
B. 2 m
C. 3 m
D. 4 m
Question 13
A block of mass 5 kg is moving with a velocity of 10 m/s on a frictionless surface. If a force of 20 N is applied to the block in the direction of motion, what is the acceleration of the block?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 14
A 100 W bulb is connected to a 230 V mains supply. If the bulb is rated for 10 hours of use, calculate the energy consumed by the bulb in kWh.
A. \frac{100\times10}{230\times1000} = 0.0435 kWh
B. \frac{100\times10}{230\times1000} = 0.435 kWh
C. \frac{100\times10}{230\times1000} = 4.35 kWh
D. \frac{100\times10}{230\times1000} = 43.5 kWh
Question 15
A 10 Ω resistor is connected in series with a 20 mH inductor and a 5 μF capacitor. The circuit is driven by a 10 V AC source of frequency 50 Hz. What is the impedance of the circuit?
A. 15 Ω
B. 20 Ω
C. 25 Ω
D. 30 Ω

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