POST UTME UNIBEN 2025 Physics | Objective

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Question 1
A heat engine operates between two temperatures, 500 K and 300 K. If the engine absorbs 1000 J of heat energy from the high-temperature reservoir, what is the efficiency of the engine?
A. 0.25
B. 0.30
C. 0.35
D. 0.40
Question 2
A particle of mass 2 kg is projected from the origin with an initial velocity of 20 m/s at an angle of 60° to the horizontal. If the particle is subject to a uniform gravitational field of 10 m/s², calculate the time taken for the particle to reach its maximum height.
A. 1.5 s
B. 2.0 s
C. 2.5 s
D. 3.0 s
Question 3
A particle of mass 1 kg is moving in a circular path of radius 2 m with a cons\tant speed of 3 m/s. If the particle is subjected to a centripetal force of 9 N, what is the magnitude of the acceleration of the particle?
A. 1 m/s^2
B. 2 m/s^2
C. 3 m/s^2
D. 4 m/s^2
Question 4
A magnetic field of 0.1 T is applied to a coil of wire with 100 turns and a radius of 0.01 m. What is the magnetic flux through the coil?
A. 0.01 Wb
B. 0.001 Wb
C. 0.0001 Wb
D. 0.00001 Wb
Question 5
A particle of mass 2 kg is moving in a circular orbit of radius 3 m with a speed of 4 m/s. If the particle is subjected to a magnetic field of strength 2 T, what is the magnitude of the magnetic force acting on the particle?
A. 12 N
B. 16 N
C. 20 N
D. 24 N
Question 6
A beam of light passes through a prism and is re\fracted at an angle of 30°. If the angle of incidence is 20° and the angle of emergence is 40°, calculate the angle of deviation.
A. 20°
B. 30°
C. 40°
D. 50°
Question 7
A particle of mass 1 kg is moving in a circular path of radius 2 m with a cons\tant speed of 4 m/s. If the particle is subject to a uniform magnetic field of 0.5 T, calculate the magnitude of the magnetic force acting on the particle.
A. 0.2 N
B. 0.4 N
C. 0.6 N
D. 0.8 N
Question 8
A solid sphere of radius $R$ and mass $M$ is placed at the origin of a coordinate system. A point charge $q$ is placed at a dis\tance $r$ from the center of the sphere. U\sing the concept of electric potential, derive an expression for the electric potential at the point charge $q$ due to the sphere.
A. V = \frac{q}{4\pi\epsilon_0 r^2} \left\( 1 - \frac{R^3}{r^3}\right \)
B. V = \frac{q}{4\pi\epsilon_0 r^2} \left\( 1 + \frac{R^3}{r^3}\right \)
C. V = \frac{q}{4\pi\epsilon_0 r^2} \left\( 1 - \frac{R}{r}\right \)
D. V = \frac{q}{4\pi\epsilon_0 r^2} \left\( 1 + \frac{R}{r}\right \)
Question 9
A wire of length $L$ and resis\tance $R$ is stretched to twice its original length. What is the new resis\tance of the wire?
A. R' = \frac{R}{2}
B. R' = 2R
C. R' = 4R
D. R' = \frac{R}{4}
Question 10
A light ray is incident on a glass slab at an angle of 30°. 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 11
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. If the air resis\tance is negligible, what is the maximum height reached by the projectile?
A. 10 m
B. 15 m
C. 20 m
D. 25 m
Question 12
A sound wave with a frequency of 200 Hz and a speed of 343 m/s is traveling through a medium. What is the wavelength of the sound wave?
A. 1.715 m
B. 1.715 cm
C. 1.715 mm
D. 1.715 km
Question 13
A particle of mass 1 kg is moving in a circular orbit of radius 2 m with a speed of 3 m/s. If the particle is subjected to a magnetic field of strength 1 T, what is the magnitude of the magnetic force acting on the particle?
A. 6 N
B. 8 N
C. 10 N
D. 12 N
Question 14
A particle of mass $m$ is attached to a spring with spring cons\tant $k$. The particle is displaced by a dis\tance $x_0$ from its equilibrium position and released from rest. Assuming the motion is simple harmonic, find the angular frequency $omega$ in terms of $k$ and $m$.
A. k/m
B. \sqrt{k/m}
C. k/m^2
D. m/k
Question 15
A capacitor consists of two parallel plates, each of area 0.04 m^2, separated by a dis\tance of 0.02 m. The plates are charged to a potential difference of 12 V. What is the capaci\tance of the capacitor?
A. 0.02 F
B. 0.04 F
C. 0.06 F
D. 0.08 F

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