POST UTME RSU 2024 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 1.0 L container is filled with 2.0 g of oxygen gas at 27°C. Calculate the pressure of the gas.
A. 1.0 atm
B. 1.5 atm
C. 2.0 atm
D. 2.5 atm
Question 2
A convex lens of focal length $f$ forms an image of an object at a dis\tance $u$ from the lens. If the magnification is $m = 2$, what is the image dis\tance?
A. \( \frac{2u}{3} \)
B. \( \frac{3u}{2} \)
C. \( \frac{4u}{3} \)
D. \( \frac{5u}{4} \)
Question 3
A long solenoid of length $L$ and radius $r$ carries a current $I$. A small loop of wire of radius $a$ is placed at a dis\tance $x$ from the center of the solenoid. If the magnetic field at the center of the solenoid is $B_0$, what is the magnetic field at the center of the small loop?
A. \( B_0 \left\( 1 - \frac{x}{\sqrt{x^2 + a^2}} \right \)
B. \( B_0 \left\( 1 + \frac{x}{\sqrt{x^2 + a^2}} \right \)
C. \( \frac{B_0}{2} \left\( 1 - \frac{x}{\sqrt{x^2 + a^2}} \right \)
D. \( \frac{B_0}{2} \left\( 1 + \frac{x}{\sqrt{x^2 + a^2}} \right \)
Question 4
A simple harmonic motion has a frequency of 2 Hz and an amplitude of 3 m. What is its angular frequency?
A. 4 \pi rad/s
B. 6 \pi rad/s
C. 8 \pi rad/s
D. 10 \pi rad/s
Question 5
A charged particle moves through a magnetic field. If the particle's velocity is perp\endicular to the magnetic field, what is the direction of the force exerted on the particle?
A. Towards the center of the magnetic field.
B. Away from the center of the magnetic field.
C. Perp\endicular to the magnetic field.
D. In the direction of the magnetic field.
Question 6
A 10.0 V AC source is connected in series with a 2.0 Ω resistor and a 4.0 μF capacitor. Calculate the current in the circuit.
A. 1.5 A
B. 2.0 A
C. 2.5 A
D. 3.0 A
Question 7
A lens of focal length 20 cm is placed in a beam of light. If the object dis\tance is 30 cm, what is the image dis\tance?
A. -60 cm
B. -40 cm
C. -20 cm
D. 10 cm
Question 8
A particle of mass 1 kg is projected at an angle of 60° to the horizontal with an initial velocity of 10 m/s. What is the time of flight of the particle?
A. 2 s
B. 4 s
C. 6 s
D. 8 s
Question 9
A fluid is in a container with a small hole at the bottom. The container is slowly filled with the fluid. What is the pressure at the bottom of the container?
A. ρgh
B. ρgH
C. ρgH/2
D. ρgH/3
Question 10
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the current flowing through the circuit?
A. 1 A
B. 2 A
C. 3 A
D. 4 A
Question 11
A block of mass 2 kg is attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, what is the maximum speed of the block?
A. 1.0 m/s
B. 2.0 m/s
C. 4.0 m/s
D. 8.0 m/s
Question 12
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. \( A = A_0 left\( \frac{1}{2} \right \ \)^{t/T} )
B. \( A = A_0 left\( \frac{1}{2} \right \ \)^{2t/T} )
C. \( A = A_0 left\( \frac{1}{2} \right \ \)^{t/2T} )
D. \( A = A_0 left\( \frac{1}{2} \right \ \)^{2t/2T} )
Question 13
A point charge of +2 μC is placed at the center of a spherical conductor of radius 0.1 m. What is the electric potential at the surface of the conductor?
A. \( V = \frac{kQ}{r} \)
B. \( V = \frac{kQ}{2r} \)
C. \( V = \frac{kQ}{4r} \)
D. \( V = \frac{kQ}{8r} \)
Question 14
A light ray passes from air into a glass 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 15
A circuit consists of a resistor $R_1 = 10 \Omega$, a capacitor $C = 100 \mu F$, and an inductor $L = 100 mH$. If the circuit is driven by a voltage source $V_0 = 10 V$ at a frequency $f = 50$ Hz, what is the impedance?
A. \( 15 \Omega \)
B. \( 20 \Omega \)
C. \( 25 \Omega \)
D. \( 30 \Omega \)

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