POST UTME UNIPORT 2017 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A wave has a frequency of 20 Hz and a wavelength of 10 m. What is the speed of the wave?
A. 200 m/s
B. 400 m/s
C. 500 m/s
D. 600 m/s
Question 2
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. Calculate the magnitude of the centripetal acceleration.
A. 0.5 m/s^2
B. 1 m/s^2
C. 2 m/s^2
D. 4 m/s^2
Question 3
A car of mass 1500 kg is traveling at a speed of 25 m/s when it encounters a hill with an elevation of 100 m. If the car's kinetic energy is converted entirely to potential energy, what is the car's speed at the top of the hill?
A. 10 m/s
B. 15 m/s
C. 20 m/s
D. 25 m/s
Question 4
A heat engine operates between a high-temperature reservoir at 500 K and a low-temperature reservoir at 300 K. The engine produces 100 J of work per cycle. What is the efficiency of the engine?
A. 0.2
B. 0.3
C. 0.4
D. 0.5
Question 5
A simple harmonic motion has a frequency of 2 Hz and an amplitude of 3 m. If the motion is described by the equation x(t) = 3 \sin(2πt), what is the angular frequency of the motion?
A. 4π rad/s
B. 6π rad/s
C. 8π rad/s
D. 10π rad/s
Question 6
A beam of light 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 7
A 2 kg block of ice at 0°C is placed in a 10°C water bath. Assuming the specific heat capacity of ice is 2090 J/(kg·K) and the latent heat of fusion of ice is 334,000 J/kg, calculate the time it takes for the ice to melt completely.
A. 10 minutes
B. 20 minutes
C. 30 minutes
D. 40 minutes
Question 8
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 angular velocity of the particle?
A. 2 rad/s
B. 4 rad/s
C. 6 rad/s
D. 8 rad/s
Question 9
A wave of frequency 100 Hz and wavelength 0.5 m is traveling through a medium. If the wave is reflected from a fixed \end, what is the frequency of the reflected wave?
A. 50 Hz
B. 100 Hz
C. 150 Hz
D. 200 Hz
Question 10
A spring has a spring cons\tant of 100 N/m. If a 2 kg mass is attached to it, what is the extension of the spring?
A. 0.2 m
B. 0.4 m
C. 0.6 m
D. 0.8 m
Question 11
A solid cylinder of radius 0.05 m and height 0.2 m is floating in a liquid of density 900 kg/m³. If the density of the solid cylinder is 5000 kg/m³, what is the percentage of the cylinder's volume that is submerged in the liquid?
A. 10%
B. 20%
C. 30%
D. 40%
Question 12
A wave with a frequency of 50 Hz and a wavelength of 2 m is traveling through a medium with a speed of 100 m/s. What is the amplitude of the wave?
A. 0.1 m
B. 0.2 m
C. 0.3 m
D. 0.4 m
Question 13
A capacitor of capaci\tance 10 μF is connected in series with a resistor of resis\tance 20 Ω. If a voltage of 50 V is applied across the circuit, what is the current flowing through the circuit?
A. 0.25 A
B. 0.5 A
C. 1 A
D. 2 A
Question 14
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 15
A radioactive sample decays from 100 g to 50 g in 10 years. What is the half-life of the sample?
A. 5 years
B. 10 years
C. 20 years
D. 50 years

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