POST UTME UNIPORT 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A heat engine operates between two temperatures, 500 K and 300 K. If the engine produces 1000 J of work per cycle, what is its efficiency?
A. 0.25
B. 0.33
C. 0.4
D. 0.5
Question 2
A beam of light is incident on a prism with angle of incidence $\theta_i$ and angle of re\fraction $\theta_r$. If the prism is made of a material with re\fractive index $n$, determine the angle of deviation $delta$.
A. \( delta = \theta_i - \theta_r \)
B. \( delta = \theta_i + \theta_r \)
C. \( delta = \theta_i - n\theta_r \)
D. \( delta = \theta_i + n\theta_r \)
Question 3
A 5.0 L \tank contains 2.0 mol of an ideal gas at a temperature of 300 K. If the gas is heated to 400 K, what is the new pressure?
A. 1.0 atm
B. 2.0 atm
C. 3.0 atm
D. 4.0 atm
Question 4
A 5 kg block 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 5
A block of mass 2.0 kg is placed on a frictionless surface and connected to a spring with a force cons\tant of 200 N/m. If the block is displaced by 0.1 m from its equilibrium position and released from rest, what is its velocity after 0.2 s?
A. 0.5 m/s
B. 1.0 m/s
C. 2.0 m/s
D. 5.0 m/s
Question 6
A particle of mass $m$ is moving in a circular orbit with radius $r$ and angular velocity $omega$. If the particle is subject to a centripetal force $F_c$, determine the magnitude of the force.
A. \( F_c = \frac{mv^2}{r} \)
B. \( F_c = \frac{momega^2r}{2} \)
C. \( F_c = \frac{mv^2}{2r} \)
D. \( F_c = \frac{momega^2r}{4} \)
Question 7
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. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 8
A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 5 V is applied across it, calculate the charge stored on each plate.
A. 50 μC
B. 100 μC
C. 200 μC
D. 500 μC
Question 9
A particle of mass 0.5 kg is attached to a spring with a force cons\tant of 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released from rest, what is its angular frequency?
A. 1.0 rad/s
B. 2.0 rad/s
C. 5.0 rad/s
D. 10.0 rad/s
Question 10
A parallel plate capacitor consists of two plates, each of area $A$ and separation $d$. The plates are charged to a potential difference $V$. If a dielectric slab of thickness $t$ and dielectric cons\tant $K$ is inserted between the plates, determine the new capaci\tance $C'$.
A. \( C' = \frac{KA}{d} \)
B. \( C' = \frac{KA}{d+t} \)
C. \( C' = \frac{KA}{d-t} \)
D. \( C' = \frac{KA}{d+2t} \)
Question 11
A wave with a frequency of 50 Hz and an amplitude of 0.05 m is traveling through a medium with a speed of 150 m/s. What is the wavelength of the wave?
A. 0.5 m
B. 1.0 m
C. 2.0 m
D. 3.0 m
Question 12
A parallel plate capacitor has a capaci\tance of 10 µF and is charged to a potential difference of 100 V. If a dielectric material with a dielectric cons\tant of 3.0 is inserted between the plates, what is the new capaci\tance?
A. 20 µF
B. 30 µF
C. 40 µF
D. 50 µF
Question 13
A 2.5 mH inductor is connected in series with a 3.2 kΩ resistor and a 12 V battery. If the inductor is initially at rest, what is the current in the circuit after 0.5 s?
A. 0.5 A
B. 1.0 A
C. 1.5 A
D. 2.0 A
Question 14
A 5 μF capacitor is connected in series with a 10 kΩ resistor. A 9 V battery is connected across the circuit. What is the charge stored on the capacitor?
A. 45 μC
B. 90 μC
C. 135 μC
D. 180 μC
Question 15
A radioactive sample of Uranium-238 undergoes \alpha decay. If the initial mass of the sample is 100 g, and the mass of the \alpha particle is 4 u, what is the mass of the daughter nucleus after 10 half-lives?
A. 0.0009765625 g
B. 0.001953125 g
C. 0.00390625 g
D. 0.0078125 g

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