POST UTME UNIPORT 2017 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A convex lens of focal length 20 cm is placed in contact with a concave lens of focal length -15 cm. Calculate the focal length of the combination.
A. 5 cm
B. 10 cm
C. 15 cm
D. 20 cm
Question 2
A uniform magnetic field of magnitude 2 T is directed along the z-axis. A current of 5 A flows in a circular loop of radius 0.1 m, placed in the x-y plane. What is the magnitude of the magnetic moment of the loop?
A. 0.1 A m^2
B. 0.5 A m^2
C. 1 A m^2
D. 5 A m^2
Question 3
A gas is heated from 300 K to 400 K. If the initial volume is 0.5 m^3 and the final volume is 1.5 m^3, calculate the work done.
A. 1.5 x 10^3 J
B. 3.0 x 10^3 J
C. 4.5 x 10^3 J
D. 6.0 x 10^3 J
Question 4
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
Question 5
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 6
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the dielectric cons\tant of the material between the plates is 3, calculate the capaci\tance.
A. 1.6 x 10^-9 F
B. 3.2 x 10^-9 F
C. 4.8 x 10^-9 F
D. 6.4 x 10^-9 F
Question 7
A radioactive sample has a half-life of 5 years. If the initial activity of the sample is 1000 Bq, what is the activity of the sample after 10 years?
A. 500 Bq
B. 750 Bq
C. 1000 Bq
D. 1250 Bq
Question 8
A particle of mass 1 kg is in a state of wave-particle duality. If the particle is described by a wave function ψ(x) = Ae^\( -αx^2 \), what is the probability of finding the particle in the region x = 0 to x = 1?
A. 0.5
B. 0.6
C. 0.7
D. 0.8
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 2 kg block is attached to a horizontal spring with a force cons\tant of 100 N/m. The block is displaced by 0.1 m from its equilibrium position and released. What is the maximum speed of the block?
A. 0.1 m/s
B. 1 m/s
C. 10 m/s
D. 100 m/s
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 sound wave has a frequency of 200 Hz and a wavelength of 0.5 m. If the speed of sound is 340 m/s, calculate the amplitude.
A. 0.05 m
B. 0.1 m
C. 0.15 m
D. 0.2 m
Question 13
A 50 Ω resistor is connected in series with a 20 Ω resistor and a 10 Ω resistor. If a 12 V battery is connected across the circuit, what is the current flowing through the 50 Ω resistor?
A. 0.2 A
B. 0.3 A
C. 0.4 A
D. 0.5 A
Question 14
A sound wave with frequency $f$ is traveling through a medium with speed $v$. If the wavelength of the sound wave is $\lambda$, find the time period $T$ of the sound wave.
A. T = \frac{2\pi}{f}
B. T = \frac{2\pi\lambda}{v}
C. T = \frac{2\pi v}{f}
D. T = \frac{2\pi\lambda}{f}
Question 15
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°

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