POST UTME REDEEMERS UNIVERSITY 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle of mass 1 kg is moving in a circular path of radius 2 m with a speed of 4 m/s. What is the magnitude of the centripetal force acting on the particle?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 2
A gas is contained in a cylinder of volume $V_1$. The gas is heated, cau\sing its temperature to increase from $T_1$ to $T_2$. If the gas is ideal, what is the new volume $V_2$?
A. V_1 T_2 / T_1
B. V_1 T_1 / T_2
C. V_1 T_1 + T_2
D. V_1 T_2 + T_1
Question 3
A parallel plate capacitor with plates of area 0.1 m^2 and separation 0.01 m has a dielectric of relative permittivity 3. The capacitor is connected to a 12 V battery. Calculate the capaci\tance of the capacitor.
A. 0.1 F
B. 0.2 F
C. 0.3 F
D. 0.4 F
Question 4
A particle of mass $m$ is moving in a circular orbit with radius $r$ and angular velocity $\omega$. Determine the magnitude of the particle's centripetal acceleration.
A. \frac{\omega^2r}{2}
B. \frac{\omega^2r}{4}
C. \frac{\omega^2r}{2}
D. \frac{\omega^2r}{4}
Question 5
A ray of light passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.
A. 20°
B. 30°
C. 40°
D. 50°
Question 6
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 acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?
A. 8 N
B. 10 N
C. 12 N
D. 16 N
Question 7
A radioactive sample of Uranium-238 undergoes \alpha decay. If the initial mass of the sample is 100 g, and the mass of the \alpha particle is 4 u, what is the mass of the resulting Radium-226 nucleus?
A. 96 g
B. 98 g
C. 100 g
D. 102 g
Question 8
A particle of mass 2 kg is moving in a circular path with a radius of 3 m and a speed of 4 m/s. What is the centripetal force acting on the particle?
A. \( 10 , \text{N} \)
B. \( 20 , \text{N} \)
C. \( 30 , \text{N} \)
D. \( 40 , \text{N} \)
Question 9
A simple harmonic motion is described by the equation $x(t) = A \cos\( \omega t + \phi \)$. If the amplitude $A$ is increased from $A_1$ to $A_2$, what is the new phase angle $\phi_{new}$?
A. \phi + \arc\cos \left\( \frac{A_2}{A_1} \right \)
B. \phi + \arc\cos \left\( \frac{A_1}{A_2} \right \)
C. \phi + \arc\sin \left\( \frac{A_1}{A_2} \right \)
D. \phi + \arc\tan \left\( \frac{A_1}{A_2} \right \)
Question 10
A parallel plate capacitor has a capaci\tance of 5 μF. If a potential difference of 15 V is applied across it, what is the energy stored in the capacitor?
A. 75 μJ
B. 150 μJ
C. 225 μJ
D. 300 μJ
Question 11
A heat engine operates between two temperatures $T_1$ and $T_2$, where $T_1 > T_2$. The engine produces 500 J of work and rejects 300 J of heat to the surroundings. What is the efficiency of the engine?
A. 0.6
B. 0.4
C. 0.5
D. 0.7
Question 12
A simple p\endulum of length 1 m is released from an initial angle of 30°. If the p\endulum is released from rest, what is the maximum speed of the p\endulum at the bottom of its swing?
A. 2 m/s
B. 3 m/s
C. 4 m/s
D. 5 m/s
Question 13
A photon of wavelength 500 nm is incident on a metal surface. If the work function of the metal is 2.5 eV, what is the maximum kinetic energy of the emitted electron?
A. 1.5 eV
B. 2.5 eV
C. 3.5 eV
D. 4.5 eV
Question 14
A quantum particle of mass 1 kg is confined to a one-dimensional box of length 1 m. If the particle is in the ground state, what is the energy of the particle?
A. 10^-34 J
B. 10^-33 J
C. 10^-32 J
D. 10^-31 J
Question 15
A sound wave with frequency $f$ is traveling through a medium with speed $v$. If the wave is reflected off a surface, determine the frequency of the reflected wave.
A. f
B. 2f
C. \frac{v}{f}
D. \frac{f}{v}

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