POST UTME UNILAG 2024 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A light ray passes from air into a glass 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 2
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. 234 u
B. 238 u
C. 226 u
D. 242 u
Question 3
A thermodynamic system is undergoing a process from state $A$ to state $B$. If the system is in equilibrium at state $A$, what is the change in entropy of the system?
A. \( \Delta S = \frac{Q}{T} \)
B. \( \Delta S = \frac{W}{T} \)
C. \( \Delta S = \frac{Q}{T} - \frac{W}{T} \)
D. \( \Delta S = \frac{Q}{T} + \frac{W}{T} \)
Question 4
A heat engine operates between the temperatures of 500 K and 300 K. If the efficiency of the engine is 30%, what is the work done by the engine per cycle?
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 5
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 subject to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 6
A wave of frequency 50 Hz and wavelength 0.05 m is traveling through a medium. If the speed of the wave is 100 m/s, what is the amplitude of the wave?
A. 0.01 m
B. 0.02 m
C. 0.03 m
D. 0.04 m
Question 7
A simple p\endulum of length 1 m has a time period of 2 s. What is the acceleration due to gravity?
A. 9.8 m/s^2
B. 19.6 m/s^2
C. 39.2 m/s^2
D. 78.4 m/s^2
Question 8
A 10 Ω resistor is connected in parallel with a 20 Ω resistor. If a 12 V battery is connected across the circuit, what is the current flowing through the 10 Ω resistor?
A. 0.6 A
B. 0.8 A
C. 1.2 A
D. 1.4 A
Question 9
A magnetic field is produced by a current-carrying wire. What is the direction of the magnetic field at a point 2 cm away from the wire?
A. Into the page
B. Out of the page
C. Along the wire
D. Perp\endicular to the wire
Question 10
A beam of light is incident on 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. \( \sin^{-1}\left\( \frac{n_1}{n_2} \sin\theta_i \right \)
B. \( \sin^{-1}\left\( \frac{n_2}{n_1} \sin\theta_i \right \)
C. \( \sin^{-1}\left\( \frac{n_1}{n_2} \cos\theta_i \right \)
D. \( \sin^{-1}\left\( \frac{n_2}{n_1} \cos\theta_i \right \)
Question 11
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8 μF, what is the charge on the plates when the potential difference is 12 V?
A. 96 μC
B. 192 μC
C. 384 μC
D. 768 μC
Question 12
A thermodynamic system is in equilibrium. What is the change in entropy when 100 J of heat is transferred to the system at a temperature of 300 K?
A. 0.33 J/K
B. 0.67 J/K
C. 1.00 J/K
D. 1.33 J/K
Question 13
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. 50 Bq
B. 25 Bq
C. 12.5 Bq
D. 6.25 Bq
Question 14
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. If the particle is subjected to a uniform magnetic field of strength $B$, what is the magnitude of the magnetic force acting on the particle?
A. \( \frac{mv^2}{r} \)
B. \( \frac{mv}{r} \)
C. \( \frac{m^2v^2}{r^2} \)
D. \( \frac{mv^2}{r^2} \)
Question 15
A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. If the circuit is driven by a voltage source of amplitude $V_0$ and frequency $f$, what is the impedance of the circuit?

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