POST UTME BSU 2025 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A light ray passes through a prism with an angle of incidence $\theta_i$ and an angle of re\fraction $\theta_r$. If the angle of deviation $\delta$ is given by $\delta = \theta_i - \theta_r$, what is the value of $\theta_i$ if $\delta = 30^\circ$ and $\theta_r = 20^\circ$?
A. 50^\circ
B. 60^\circ
C. 70^\circ
D. 80^\circ
Question 2
A particle of mass m is attached to a spring with spring cons\tant k. The particle is displaced from its equilibrium position by a dis\tance x and released from rest. Assuming the motion is simple harmonic, find the angular frequency ω.
A. \omega = \frac{1}{\sqrt{m}}
B. \omega = \sqrt{\frac{m}{k}}
C. \omega = \frac{k}{m}
D. \omega = \sqrt{\frac{k}{m}}
Question 3
A magnetic field of magnitude 2 T is directed perp\endicular to a plane. A current of 5 A flows in a circular path of radius 0.2 m. What is the magnitude of the magnetic moment of the current?
A. 0.1 A m^2
B. 0.2 A m^2
C. 0.3 A m^2
D. 0.4 A m^2
Question 4
A sound wave has a frequency of 200 Hz and a wavelength of 0.5 m. What is the speed of the sound wave?
A. 100 m/s
B. 200 m/s
C. 300 m/s
D. 400 m/s
Question 5
A convex lens of focal length 20 cm is used to form an image of an object placed 30 cm away from the lens. What is the magnification of the image?
A. 0.5
B. 0.6
C. 0.7
D. 0.8
Question 6
A light wave with wavelength λ is incident on a double-slit apparatus. The dis\tance between the slits is d, and the dis\tance from the slits to the screen is L. Find the angle θ at which the first minimum occurs.
A. \theta = \frac{\lambda}{2d}
B. \theta = \frac{\lambda}{d}
C. \theta = \frac{2\lambda}{d}
D. \theta = \frac{\lambda}{3d}
Question 7
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 force?
A. 8 N
B. 12 N
C. 16 N
D. 24 N
Question 8
A 2 kg object is moving in a circular path with a cons\tant speed of 3 m/s. The force acting on the object is directed towards the center of the circle and has a magnitude of 10 N. Calculate the centripetal force required to keep the object moving in a circular path with a radius of 1 m.
A. 5 N
B. 10 N
C. 15 N
D. 20 N
Question 9
A spring of spring cons\tant 100 N/m is stretched by 0.5 m. What is the potential energy stored in the spring?
A. 25 J
B. 50 J
C. 75 J
D. 100 J
Question 10
A 5 L container is filled with 2 moles of an ideal gas at 300 K. The gas is then heated to 400 K while keeping the volume cons\tant. What is the change in internal energy of the gas?
A. 2000 J
B. 4000 J
C. 6000 J
D. 8000 J
Question 11
A particle of mass $m$ is moving in a circular path of radius $R$ with a cons\tant speed $v$. The particle experiences a centripetal force $F_c$ given by $F_c = \frac{mv^2}{R}$. If the particle's speed is doubled to $2v$, what is the new centripetal force $F_{c,new}$?
A. \frac{2mv^2}{R}
B. \frac{4mv^2}{R}
C. \frac{mv^2}{2R}
D. \frac{mv^2}{4R}
Question 12
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^2x^2}{m}}
D. \sqrt{\frac{m^2x^2}{k}}
Question 13
A 3 L container is filled with 1 mole of an ideal gas at 200 K. The gas is then compressed to 2 L while keeping the temperature cons\tant. What is the change in internal energy of the gas?
A. -2000 J
B. -4000 J
C. -6000 J
D. -8000 J
Question 14
A 2 kg block is susp\ended from a spring with spring cons\tant 50 N/m. The block is then displaced by 0.1 m from its equilibrium position and released from rest. What is the maximum velocity of the block?
A. 0.5 m/s
B. 1 m/s
C. 1.5 m/s
D. 2 m/s
Question 15
A thermodynamic system undergoes a process from state A to state B. If the internal energy of the system increases by 100 J and the work done on the system is 50 J, what is the heat added to the system?
A. 150 J
B. 200 J
C. 250 J
D. 300 J

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