POST UTME NOUN 2022 Physics | Objective
Practice these randomly selected questions to test your readiness.
Question 1
A light ray passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
Question 2
A heat engine operates between two temperatures $T_1$ and $T_2$. What is the efficiency of the engine?
Question 3
A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 20 V. If the dis\tance between the plates is doubled, what is the new potential difference?
Question 4
A parallel plate capacitor with plates of area 0.04 m^2 and separation 0.02 m is connected to a 12 V battery. If the dielectric cons\tant of the material between the plates is 3, calculate the capaci\tance and the energy stored in the capacitor.
Question 5
A heat engine operates between a source at 500 K and a \sink at 300 K. If the engine has an efficiency of 30%, what is the temperature of the source?
Question 6
A radioactive sample has a half-life of 10 years. If the initial activity is 100 Bq, what is the activity after 20 years?
Question 7
A photon of energy 2 eV is incident on a metal surface with a work function of 1 eV. If the photon is absorbed, what is the maximum kinetic energy of the emitted electron?
Question 8
A simple harmonic motion is described by the equation $x(t) = A \cos\( omega t + phi \)$, where $A$ is the amplitude, $omega$ is the angular frequency, and $phi$ is the phase angle. What is the period of the motion?
Question 9
A ray of light 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.
Question 10
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?
Question 11
A radioactive subs\tance has a half-life of 5 years. If 100 g of the subs\tance is initially present, how much of the subs\tance will remain after 20 years?
Question 12
A 100 V, 10 A AC source is connected to a 50 Ω resistor. What is the power consumed by the resistor?
Question 13
A wave has a frequency of 50 Hz and a wavelength of 0.2 m. What is the speed of the wave?
Question 14
A work function is given by the equation $W = W_0 + kE^2$, where $W_0$ is the minimum work function and $k$ is a cons\tant. What is the energy of the electron emitted when the energy of the incident photon is $E = 2E_0$?
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. If air resis\tance is neglected, what is the maximum height reached by the projectile?
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