POST UTME NOUN 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A spring with a spring cons\tant of 100 N/m is stretched by 2 m. Calculate the work done in stretching the spring.
A. 200 J
B. 400 J
C. 600 J
D. 800 J
Question 2
A parallel plate capacitor has a capaci\tance of $C$ and is charged to a potential difference of $V$. The plates are then separated by a dis\tance $d$. What is the energy stored in the capacitor?
A. \frac{1}{2} CV^2
B. \frac{1}{2} C\( V + d \)^2
C. \frac{1}{2} C\( V - d \)^2
D. \frac{1}{2} C\( V + d \)^2 + \frac{1}{2} Cd^2
Question 3
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 magnitude of the acceleration of the particle?
A. 10 m/s^2
B. 12 m/s^2
C. 15 m/s^2
D. 20 m/s^2
Question 4
A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. What is the magnitude of the centripetal force?
A. 2 N
B. 4 N
C. 6 N
D. 8 N
Question 5
A solid sphere of radius 5 cm is floating in a liquid of density 1.5 g/cm³. If the density of the sphere is 6 g/cm³, what is the depth of the sphere below the surface of the liquid?
A. 2.5 cm
B. 5 cm
C. 7.5 cm
D. 10 cm
Question 6
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the total resis\tance?
A. 10 Ω
B. 12 Ω
C. 14 Ω
D. 16 Ω
Question 7
A wave of frequency 100 Hz and wavelength 0.1 m is traveling through a medium. If the wave is reflected from a surface, what is the frequency of the reflected wave?
A. 90 Hz
B. 100 Hz
C. 110 Hz
D. 120 Hz
Question 8
A particle of mass 1 kg is moving in a straight line with an initial velocity of 5 m/s. If the particle is subjected to a force of 2 N, what is the acceleration of the particle after 2 seconds?
A. 1 m/s^2
B. 2 m/s^2
C. 3 m/s^2
D. 4 m/s^2
Question 9
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The wave function of the particle is given by $psi(x) = \sqrt{\frac{2}{L}} \sinleft\( \frac{npi x}{L}\right \)$, where $n$ is a positive integer. What is the expectation value of the position of the particle in the ground state \( $n=1$ \)?
A. 0
B. \frac{L}{2}
C. L
D. \frac{2L}{3}
Question 10
A radioactive sample decays from 100 g to 50 g in 10 years. If the decay cons\tant is 0.693/10 years, calculate the half-life of the sample.
A. 5 years
B. 10 years
C. 15 years
D. 20 years
Question 11
A 2.5 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 specific heat capacity of water is 4186 J/(kg·K), what is the time it takes for the ice to melt completely?
A. 10 minutes
B. 20 minutes
C. 30 minutes
D. 40 minutes
Question 12
A gas is heated from 300 K to 400 K at cons\tant volume. What is the change in internal energy?
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 13
A light ray passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.
A. 18°
B. 20°
C. 22°
D. 25°
Question 14
A 2 kg block of metal is heated from 20°C to 80°C. If the specific heat capacity of the metal is 400 J/kg°C, calculate the energy transferred to the block.
A. 16000 J
B. 24000 J
C. 32000 J
D. 40000 J
Question 15
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. What is the maximum height reached by the projectile?
A. 10 m
B. 15 m
C. 20 m
D. 25 m

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