POST UTME BSU 2024 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A heat engine operates between two temperatures of 500 K and 300 K. If the engine has an efficiency of 30%, what is the temperature of the hot reservoir?
A. 550 K
B. 600 K
C. 650 K
D. 700 K
Question 2
A radioactive sample decays with 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 3
A gas is heated from 300 K to 400 K at cons\tant volume. If the initial volume is 2.5 L and the gas cons\tant is 0.082 L atm/mol K, what is the final pressure of the gas in atm?
A. 10 atm
B. 20 atm
C. 30 atm
D. 40 atm
Question 4
A block of mass $m$ is attached to a horizontal, massless spring with a spring cons\tant $k$. The block is displaced by a dis\tance $x$ from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, what is the maximum speed $v_{max}$ of the block?
A. \sqrt{\frac{kx^2}{m}}
B. \sqrt{\frac{mx^2}{k}}
C. \sqrt{\frac{k}{m}}
D. \sqrt{\frac{m}{k}}
Question 5
A 10 kg block is moving at a speed of 5 m/s on a frictionless surface. Calculate the kinetic energy of the block.
A. 25 J
B. 50 J
C. 75 J
D. 100 J
Question 6
A parallel plate capacitor consists of two plates, each of area $A$ and separation $d$. The capaci\tance is given by $C=\frac{epsilon_0A}{d}$. If the separation is doubled, what is the new capaci\tance?
A. \frac{\epsilon_0A}{2d}
B. \frac{2\epsilon_0A}{d}
C. \frac{\epsilon_0A}{d}
D. \frac{\epsilon_0A}{4d}
Question 7
A ray of light passes from air into a glass slab of thickness $t$ and re\fractive index $n$. If the angle of incidence is $\theta_i$, what is the angle of re\fraction?
A. \frac{n\sin\theta_i}{n-\sin\theta_i}
B. \frac{n\sin\theta_i}{n+\sin\theta_i}
C. \frac{n\sin\theta_i}{n-\sin\theta_i}
D. \frac{n\sin\theta_i}{n+\sin\theta_i}
Question 8
A magnetic field of strength 0.5 T is directed along the z-axis. A current of 2 A flows through a straight wire of length 1 m placed in the x-y plane. What is the magnitude of the magnetic force acting on the wire?
A. 0.1 N
B. 0.2 N
C. 0.3 N
D. 0.4 N
Question 9
A block of mass $m$ is attached to a horizontal, massless spring with spring cons\tant $k$. The block is displaced by a dis\tance $x$ from its equilibrium position and released from rest. Assuming the motion is simple harmonic, what is the angular frequency of the oscillations?
A. \sqrt{\frac{k}{m}}
B. \frac{k}{m}
C. \frac{m}{k}
D. \frac{1}{\sqrt{mk}}
Question 10
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 11
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. What is the magnitude of the centripetal force acting on the particle?
A. mv^2/r
B. mv/r
C. mvr
D. mv^2
Question 12
A simple harmonic motion has a maximum displacement of 5 cm and a period of 2 s. If the motion is damped, the equation of motion is given by \frac{d^2x}{dt^2} + 2\frac{dx}{dt} + 5x = 0. What is the value of the damping coefficient?
A. 1 s^{-1}
B. 2 s^{-1}
C. 3 s^{-1}
D. 4 s^{-1}
Question 13
A ray of light passes from air into a glass slab 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 14
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. Calculate the magnitude of the force acting on the particle.
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 15
A car travels from point A to point B with an average speed of $v_{avg}$. If the car takes a detour and travels from point A to point C to point B, the total dis\tance traveled is $d_{total}$. Assuming the car travels at a cons\tant speed of $v$ on the detour, what is the ratio of the average speed $v_{avg}$ to the speed $v$ on the detour?
A. \frac{v}{v_{avg}}
B. \frac{v_{avg}}{v}
C. \frac{d_{total}}{v}
D. \frac{v}{d_{total}}

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