POST UTME NOUN 2021 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 100 W heater is connected to a 230 V AC supply. Calculate the current drawn by the heater.
A. 0.5 A
B. 1 A
C. 1.5 A
D. 2 A
Question 2
A radioactive sample decays from 100 g to 50 g in 10 years. Calculate the half-life of the sample.
A. 5 years
B. 10 years
C. 15 years
D. 20 years
Question 3
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the current through the 6 Ω resistor?
A. 0.5 A
B. 1 A
C. 1.5 A
D. 2 A
Question 4
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The ground state wave function of the particle is given by $psi_0(x) = \sqrt{\frac{2}{L}} \sinleft\( \frac{pi x}{L}\right \)$. What is the probability of finding the particle in the region $0 < x < \frac{L}{4}$?
A. 0.25
B. 0.5
C. 0.75
D. 1.0
Question 5
A magnetic field is generated by a current-carrying wire with a radius of $r$. If the current is $I$, what is the magnetic field strength at a dis\tance $d$ from the wire?
A. \frac{\mu_0 I}{2 \pi d}
B. \frac{\mu_0 I}{4 \pi d}
C. \frac{\mu_0 I}{6 \pi d}
D. \frac{\mu_0 I}{8 \pi d}
Question 6
A capacitor with capaci\tance $C$ is connected to a battery with voltage $V$. If the capacitor is discharged through a resistor with resis\tance $R$, what is the time cons\tant of the circuit?
A. RC
B. R/C
C. C/R
D. V/R
Question 7
A beam of light is pas\sing through a prism with an angle of re\fraction $\theta_r$. If the angle of incidence is $\theta_i$, what is the angle of re\fraction?
A. \theta_i
B. \theta_i + \theta_r
C. \theta_i - \theta_r
D. \theta_i + \theta_r + \theta_r
Question 8
A vector has a magnitude of 5 m and makes an angle of 30° with the x-axis. Calculate the x and y components of the vector.
A. x-component = 4 m, y-component = 2.5 m
B. x-component = 3 m, y-component = 4 m
C. x-component = 2 m, y-component = 5 m
D. x-component = 1 m, y-component = 6 m
Question 9
A wave of frequency 50 Hz and wavelength 10 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. 75 Hz
C. 100 Hz
D. 125 Hz
Question 10
A simple harmonic motion has a frequency of 2 Hz and an amplitude of 3 m. What is the maximum acceleration?
A. 12 m/s^2
B. 6 m/s^2
C. 4 m/s^2
D. 2 m/s^2
Question 11
A photon of wavelength 500 nm is incident on a metal surface. If the work function of the metal is 2.5 eV, what is the maximum kinetic energy of the emitted electron?
A. 1.5 eV
B. 2.0 eV
C. 2.5 eV
D. 3.0 eV
Question 12
A sound wave with frequency $f$ is traveling through a medium with speed $v$. If the wave is reflected off a stationary surface, what is the frequency of the reflected wave?
A. f
B. 2f
C. 3f
D. 4f
Question 13
A magnetic field \vec{B} is directed along the positive z-axis. If a current-carrying wire is placed in the magnetic field, what is the direction of the force acting on the wire?
A. Upward
B. Downward
C. Leftward
D. Rightward
Question 14
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in parallel. What is the total resis\tance of the circuit?
A. 2 Ω
B. 3 Ω
C. 4 Ω
D. 6 Ω
Question 15
A 2 kg block of copper is heated from 20°C to 80°C. If the specific heat capacity of copper is 0.385 J/g°C, calculate the energy required to heat the block.
A. 150 J
B. 300 J
C. 450 J
D. 600 J

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