POST UTME CALEB UNIVERSITY 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 2.0 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, calculate the maximum speed of the block.
A. 1.0 m/s
B. 2.0 m/s
C. 4.0 m/s
D. 5.0 m/s
Question 2
A ray of light passes from air into a glass of re\fractive index $n$. If the angle of incidence is $\theta_i = 30^\circ$, what is the angle of re\fraction?
A. 20^\circ
B. 30^\circ
C. 40^\circ
D. 50^\circ
Question 3
A radioactive sample decays from 100 g to 50 g in 10 years. Calculate the half-life of the sample.
A. 5 years
B. 10 years
C. 15 years
D. 20 years
Question 4
A heat engine operates between two temperatures of 300 K and 400 K. If the engine has an efficiency of 30%, what is the temperature of the hot reservoir?
A. 300 K
B. 350 K
C. 400 K
D. 450 K
Question 5
A radioactive sample has a half-life of 5 years. If the initial activity is 100 Bq, what is the activity after 10 years?
A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq
Question 6
A radioactive sample has a half-life of 10 years. If the initial activity is 1000 Bq, what is the activity after 20 years?
A. 250 Bq
B. 500 Bq
C. 750 Bq
D. 1000 Bq
Question 7
A block of mass $m$ is attached to a horizontal spring of force cons\tant $k$. The block is displaced by a dis\tance $x$ from its equilibrium position and released from rest. What is the angular frequency of the resulting simple harmonic motion?
A. \sqrt{\frac{k}{m}}
B. \frac{k}{m}
C. \frac{m}{k}
D. \frac{1}{\sqrt{km}}
Question 8
A gas is contained in a cylinder of volume 0.5 m^3 at a temperature of 300 K. If the temperature is increased to 400 K, what is the new volume of the gas?
A. 0.6 m^3
B. 0.7 m^3
C. 0.8 m^3
D. 0.9 m^3
Question 9
A ray of light passes from air into a glass block at an angle of incidence of 30°. If the re\fractive index of the glass is 1.5, calculate the angle of re\fraction.
A. 20°
B. 25°
C. 30°
D. 35°
Question 10
A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle has a velocity of 4 m/s, what is the centripetal force acting on the particle?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 11
A gas is contained in a cylinder of volume 2 m³ at a pressure of 1 atm. If the temperature is increased by 10°C, what is the new pressure of the gas?
A. 1.2 atm
B. 1.5 atm
C. 2.0 atm
D. 2.5 atm
Question 12
A sound wave with a frequency of 200 Hz and a speed of 340 m/s is traveling through a medium. What is the wavelength of the sound wave?
A. 1.7 m
B. 1.8 m
C. 1.9 m
D. 2.0 m
Question 13
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 is subjected to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?
A. 4 m/s^2
B. 6 m/s^2
C. 8 m/s^2
D. 10 m/s^2
Question 14
A parallel plate capacitor consists of two plates of area 0.1 m^2, separated by a dis\tance of 0.01 m. The capaci\tance of the capacitor is 10 nF. If a potential difference of 5 V is applied across the plates, what is the magnitude of the electric field between the plates?
A. 100 V/m
B. 200 V/m
C. 300 V/m
D. 400 V/m
Question 15
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The ground state wave function of the particle is given by $psi_0(x) = \sqrt{\frac{2}{L}} \sinleft\( \frac{pi x}{L}\right \)$. What is the expectation value of the position operator in the ground state?
A. 0
B. \frac{L}{2}
C. L
D. \frac{L}{\pi}

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