POST UTME UNILAG 2019 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A light ray passes from air into a glass block with a re\fractive index of 1.5. If the angle of incidence is 30°, determine the angle of re\fraction.
A. 20°
B. 30°
C. 40°
D. 50°
Question 2
A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 5 Ω resistor connected in series. If a voltage of 12 V is applied across the circuit, determine the current flowing through the 5 Ω resistor.
A. 0.4 A
B. 0.6 A
C. 0.8 A
D. 1.0 A
Question 3
A block of mass $m$ is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant $k$. The block is displaced by a dis\tance $x$ from its equilibrium position and released from rest. What is the maximum speed $v_{max}$ of the block as it oscillates?
A. \sqrt{\frac{kx^2}{m}}
B. \frac{kx^2}{m}
C. \frac{mx^2}{k}
D. \frac{kx}{\sqrt{m}}
Question 4
A wave of frequency 100 Hz and amplitude 0.5 m is traveling along a string. If the wave is reflected from a fixed \end, what is the amplitude of the reflected wave?
A. 0.25 m
B. 0.5 m
C. 0.75 m
D. 1 m
Question 5
A circuit consists of a resistor $R_1 = 10 , Omega$, a resistor $R_2 = 20 , Omega$, and a battery of emf $E = 12 , \text{V}$. The circuit is connected in series. What is the total resis\tance of the circuit?
A. ( 30 , Omega )
B. ( 40 , Omega )
C. ( 50 , Omega )
D. ( 60 , Omega )
Question 6
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. If the force of attraction between the particle and the center of the circle is $F$, what is the value of the angular momentum?
A. \frac{mv^2}{r}
B. \frac{mv}{r}
C. \frac{mv^2r}{F}
D. \frac{F}{mv^2}
Question 7
A particle is projected from the origin with an initial velocity of 20 m/s at an angle of 60° to the horizontal. If the acceleration due to gravity is 10 m/s², what is the time of flight?
A. 1 s
B. 2 s
C. 3 s
D. 4 s
Question 8
A simple harmonic motion is described by the equation x(t) = 2 \cos\( 3t + π/4 \). What is the angular frequency of the motion?
A. 1 rad/s
B. 2 rad/s
C. 3 rad/s
D. 4 rad/s
Question 9
A heat engine operates between two reservoirs at temperatures 500 K and 300 K. If the engine absorbs 100 J of heat from the high-temperature reservoir, what is the efficiency of the engine?
A. 0.25
B. 0.33
C. 0.5
D. 0.67
Question 10
A 100 V AC supply is connected to a 50 Ω resistor. If the current is 2 A, what is the power consumed by the resistor?
A. 100 W
B. 200 W
C. 300 W
D. 400 W
Question 11
A 10 μF capacitor is connected in series with a 20 Ω resistor. If a 50 Hz AC voltage is applied across the circuit, what is the impedance of the circuit?
A. 20 Ω
B. 30 Ω
C. 40 Ω
D. 50 Ω
Question 12
A block of mass $m$ is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant $k$. The block is displaced by a dis\tance $x$ from its equilibrium position and released from rest. What is the maximum speed $v_{max}$ of the block as it oscillates?
A. \sqrt{\frac{kx^2}{m}}
B. \frac{kx^2}{m}
C. \frac{mx^2}{k}
D. \frac{kx}{\sqrt{m}}
Question 13
A 5 kg block is attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position and released, what is the maximum speed of the block?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 14
A light ray passes through a prism and is re\fracted. If the angle of incidence is $30^\circ$ and the angle of re\fraction is $20^\circ$, what is the angle of deviation?
A. 50^\circ
B. 60^\circ
C. 70^\circ
D. 80^\circ
Question 15
A light source is placed 1 m away from a convex lens with a focal length of 0.5 m. If the light source is moved 0.2 m closer to the lens, determine the new image dis\tance.
A. 0.5 m
B. 0.6 m
C. 0.7 m
D. 0.8 m

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