POST UTME ESUT 2024 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A circuit consists of a 12 Ω resistor, a 20 Ω resistor, and a 10 μF capacitor in series. If the voltage source is 6 V, what is the current in the circuit?
A. 0.2 A
B. 0.4 A
C. 0.6 A
D. 0.8 A
Question 2
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 3
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 4
A radioactive sample has a half-life of 10 years. If the initial activity is 100 Bq, calculate the activity after 20 years.
A. 12.5 Bq
B. 25 Bq
C. 37.5 Bq
D. 50 Bq
Question 5
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 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 projectile is launched from the ground with an initial velocity of 50 m/s at an angle of 60° above the horizontal. Neglecting air resis\tance, calculate the time of flight.
A. 2 s
B. 4 s
C. 6 s
D. 8 s
Question 8
A point charge of +2 μC is placed at the origin of a coordinate system. A second point charge of -3 μC is placed at a dis\tance of 0.5 m from the origin. What is the magnitude of the electric field at a point on the x-axis, 1.5 m from the origin?
A. 2.5 x 10^4 N/C
B. 3.5 x 10^4 N/C
C. 4.5 x 10^4 N/C
D. 5.5 x 10^4 N/C
Question 9
A spring with a spring cons\tant of 100 N/m is stretched by 0.2 m. What is the work done in stretching the spring?
A. 2 J
B. 4 J
C. 6 J
D. 8 J
Question 10
A ray of light passes through a prism and is re\fracted. If the angle of incidence is $30^\circ$ and the angle of re\fraction is $60^\circ$, what is the angle of deviation?
A. $30^\circ$
B. $60^\circ$
C. $90^\circ$
D. $120^\circ$
Question 11
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 force acting on the particle?
A. 12 N
B. 16 N
C. 20 N
D. 24 N
Question 12
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 13
A parallel plate capacitor has plates of area $A$ and separation $d$. The capaci\tance is given by $C = \frac{epsilon_0 A}{d}$. If the area of the plates is doubled and the separation is halved, what is the new capaci\tance?
A. \( C' = \frac{\epsilon_0 A}{d} \)
B. \( C' = 4 \frac{\epsilon_0 A}{d} \)
C. \( C' = 2 \frac{\epsilon_0 A}{d} \)
D. \( C' = \frac{\epsilon_0 A}{2d} \)
Question 14
A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 5 V. If the dis\tance between the plates is doubled, what is the new capaci\tance?
A. 5 μF
B. 10 μF
C. 20 μF
D. 40 μF
Question 15
A 10 Ω resistor is connected in series with a 20 Ω resistor and a 40 Ω resistor. If the total resis\tance is 60 Ω, what is the value of the unknown resis\tance?
A. 5 Ω
B. 10 Ω
C. 20 Ω
D. 40 Ω

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