POST UTME RSU 2024 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 2
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 3
A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle's angular velocity is 4 rad/s, what is its centripetal acceleration?
A. 12 m/s^2
B. 16 m/s^2
C. 20 m/s^2
D. 24 m/s^2
Question 4
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. 30°
C. 40°
D. 50°
Question 5
A 5.0 g sample of a gas at 27°C and 1.0 atm is heated to 127°C at cons\tant pressure. Calculate the final volume of the gas, given that the gas cons\tant R = 0.0821 L atm K^{-1} mol^{-1} and the molar mass of the gas is 28.0 g mol^{-1}.
A. 3.5 L
B. 4.2 L
C. 5.5 L
D. 6.8 L
Question 6
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 7
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 8
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 9
A 5.0 g sample of a gas at 27°C and 1.0 atm is heated to 127°C at cons\tant pressure. Calculate the final volume of the gas, given that the gas cons\tant R = 0.0821 L atm K^{-1} mol^{-1} and the molar mass of the gas is 28.0 g mol^{-1}.
A. 3.5 L
B. 4.2 L
C. 5.5 L
D. 6.8 L
Question 10
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8.0 x 10^-12 F, what is the charge on the plates when the potential difference between them is 100 V?
A. 4.0 x 10^-9 C
B. 8.0 x 10^-9 C
C. 1.6 x 10^-8 C
D. 3.2 x 10^-8 C
Question 11
A particle of mass 0.5 kg is moving in a circular path with a radius of 2 m. If the particle's speed is 4 m/s, what is the magnitude of the centripetal acceleration?
A. \( a_c = \frac{v^2}{r} \)
B. \( a_c = \frac{v^2}{2r} \)
C. \( a_c = \frac{v^2}{4r} \)
D. \( a_c = \frac{v^2}{8r} \)
Question 12
A body of mass 5 kg is moving with a velocity of 10 m/s. If it is subjected to a force of 20 N, what is its acceleration?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 13
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 14
A thermodynamic system undergoes a process from state A to state B. The initial temperature is $T_1 = 300$ K and the final temperature is $T_2 = 400$ K. If the change in entropy is $\Delta S = 10$ J/K, what is the change in internal energy?
A. \( 100 \text{ J} \)
B. \( 200 \text{ J} \)
C. \( 300 \text{ J} \)
D. \( 400 \text{ J} \)
Question 15
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 experiences a centripetal acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?
A. 6 N
B. 8 N
C. 10 N
D. 12 N

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