POST UTME UNIPORT 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A photon of wavelength 600 nm is incident on a metal surface. If the work function of the metal is 2.5 eV, what is the maximum kinetic energy of the emitted electron?
A. 1.5 eV
B. 2.5 eV
C. 3.5 eV
D. 4.5 eV
Question 2
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 3
A 10 Ω resistor and a 20 Ω resistor are connected in parallel. What is the equivalent resis\tance of the circuit?
A. 5 Ω
B. 10 Ω
C. 15 Ω
D. 20 Ω
Question 4
A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released, calculate the frequency of oscillation.
A. 0.5 Hz
B. 1 Hz
C. 2 Hz
D. 5 Hz
Question 5
A 10.0 µF capacitor is connected in series with a 20.0 µF capacitor. If a 50.0 V potential difference is applied across the combination, what is the charge on the 10.0 µF capacitor?
A. 0.25 µC
B. 0.50 µC
C. 0.75 µC
D. 1.0 µC
Question 6
A gas is confined to a container with a volume of 2 L. If the temperature of the gas is increased from 300 K to 400 K, what is the new volume of the gas?
A. 2.67 L
B. 3.33 L
C. 4 L
D. 5 L
Question 7
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 8
A radioactive sample of Δₗ (Americium) has a half-life of 432 years. If the initial activity is 1.0 µCi, what is the activity after 720 years?
A. 0.25 µCi
B. 0.5 µCi
C. 0.75 µCi
D. 1.0 µCi
Question 9
A photon of wavelength 500 nm is incident on a metal surface. If the work function of the metal is 2 eV, what is the kinetic energy of the emitted electron?
A. 1.5 eV
B. 2.5 eV
C. 3.5 eV
D. 4.5 eV
Question 10
A convex lens of focal length 20 cm is used to form an image of an object placed 30 cm from the lens. What is the object dis\tance?
Question 11
A radioactive sample has an initial activity of 100 Bq. If the half-life of the sample is 10 minutes, what is its activity after 20 minutes?
A. 25 Bq
B. 50 Bq
C. 75 Bq
D. 100 Bq
Question 12
A heat engine operates between two temperatures of 500 K and 300 K. If the engine absorbs 100 J of heat from the high-temperature reservoir, what is the efficiency of the engine?
A. 0.25
B. 0.33
C. 0.5
D. 0.67
Question 13
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 14
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 15
A gas of $N$ molecules is confined to a volume $V$. The molecules are assumed to be classical particles with mass $m$ and velocity $v$. If the gas is heated to a temperature $T$, determine the average kinetic energy of the molecules.
A. \( \frac{3}{2}NkT \)
B. \( \frac{1}{2}NkT \)
C. \( \frac{5}{2}NkT \)
D. \( \frac{7}{2}NkT \)

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