POST UTME ESUT 2024 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 with a cons\tant speed of 4 m/s. If the radius of the circle is 1.5 m, what is the magnitude of the centripetal acceleration?
A. 1.33 m/s^2
B. 2.67 m/s^2
C. 4 m/s^2
D. 5.33 m/s^2
Question 2
A gas is heated from 300 K to 400 K at cons\tant volume. Calculate the change in internal energy.
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 3
A radioactive sample has a half-life of $10\,\text{years}$. If the initial activity is $100\,\text{Bq}$, what is the activity after $20\,\text{years}$?
A. $50\,\text{Bq}$
B. $25\,\text{Bq}$
C. $12.5\,\text{Bq}$
D. $6.25\,\text{Bq}$
Question 4
A 100 mL sample of a gas at 27°C and 1 atm is heated to 127°C at cons\tant volume. What is the final pressure of the gas?
A. 2 atm
B. 3 atm
C. 4 atm
D. 5 atm
Question 5
A radioactive sample has a half-life of 10 years. If the initial activity is 100 Bq, what is the activity after 20 years?
A. 25 Bq
B. 50 Bq
C. 75 Bq
D. 100 Bq
Question 6
A vector Δπ has a magnitude of 3 m and makes an angle of 60° with the x-axis. What is the x-component of the vector?
A. 1.5 m
B. 2 m
C. 2.5 m
D. 3 m
Question 7
A gas is contained in a cylinder with a movable piston. The gas is heated, cau\sing its pressure to increase. Which of the following statements is true about the change in volume of the gas?
A. The volume of the gas increases.
B. The volume of the gas decreases.
C. The volume of the gas remains cons\tant.
D. The volume of the gas increases, but at a slower rate than the increase in pressure.
Question 8
A 100 Ω resistor is connected in series with a 50 Ω resistor and a 20 Ω resistor. If a 12 V battery is connected across the circuit, what is the current flowing through the 50 Ω resistor?
A. 0.2 A
B. 0.3 A
C. 0.4 A
D. 0.5 A
Question 9
A parallel plate capacitor has a capaci\tance of 5 μF. If a potential difference of 10 V is applied across the plates, what is the charge stored on the capacitor?
A. 50 μC
B. 60 μC
C. 70 μC
D. 80 μC
Question 10
A gas occupies a volume of 2 L at a pressure of 1 atm and a temperature of 300 K. What is the volume of the gas at a pressure of 2 atm and a temperature of 400 K?
A. 1 L
B. 2 L
C. 3 L
D. 4 L
Question 11
A sound wave has a frequency of $100\,\text{Hz}$ and a wavelength of $10\,\text{m}$. What is the speed of the sound wave?
A. $100\,\text{m/s}$
B. $1000\,\text{m/s}$
C. $10000\,\text{m/s}$
D. $100000\,\text{m/s}$
Question 12
A parallel plate capacitor has a capaci\tance of $C = 10^{-6} F$. The plates are separated by a dis\tance of $d = 0.01 m$. What is the electric field between the plates if a charge of $Q = 5 \times 10^{-6} C$ is placed on one of the plates?
A. 1000 V/m
B. 500 V/m
C. 2000 V/m
D. 2500 V/m
Question 13
A simple p\endulum has a length of 1 m and a mass of 0.5 kg. If it is displaced by 30° from its equilibrium position and released from rest, calculate the time period.
A. 1.5 s
B. 2.5 s
C. 3.5 s
D. 4.5 s
Question 14
A 100 W light bulb is connected to a 220 V power source. Calculate the current drawn by the bulb.
A. 0.45 A
B. 0.5 A
C. 0.55 A
D. 0.6 A
Question 15
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If the acceleration due to gravity is 9.8 m/s^2, what is the maximum height reached by the projectile?
A. 10 m
B. 15 m
C. 20 m
D. 25 m

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