POST UTME NOUN 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A radioactive sample has a half-life of 10 years. If the initial activity is 100 Bq, what is the activity after 20 years?
A. 50 Bq
B. 25 Bq
C. 12.5 Bq
D. 6.25 Bq
Question 2
A wave has a frequency of 50 Hz and a wavelength of 0.2 m. What is the speed of the wave?
A. 10 m/s
B. 20 m/s
C. 30 m/s
D. 40 m/s
Question 3
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8.0 x 10^-10 F, what is the value of the dielectric cons\tant?
A. 1.0
B. 2.0
C. 3.0
D. 4.0
Question 4
A circuit consists of a 12 V battery, a 4 Ω resistor, and an inductor of induc\tance 0.5 H. If the circuit is connected to a switch that is closed at time t = 0, what is the current in the circuit at time t = 2 s?
A. 2 A
B. 4 A
C. 6 A
D. 8 A
Question 5
A particle of mass 1 kg is moving in a circular path with a radius of 0.5 m. If the particle has a speed of 2 m/s, calculate the centripetal acceleration.
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 6
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?
A. 12.5 g
B. 25 g
C. 50 g
D. 100 g
Question 7
A quantum particle is confined to a one-dimensional box of length $L$. What is the energy of the particle in the ground state?
A. \frac{h^2}{8 m L^2}
B. \frac{h^2}{4 m L^2}
C. \frac{h^2}{2 m L^2}
D. \frac{h^2}{m L^2}
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 maximum velocity of the particle?
A. Aω
B. Aω^2
C. A^2ω
D. Aω^3
Question 9
A heat engine operates between two temperatures $T_1$ and $T_2$. What is the efficiency of the engine?
A. 1 - \frac{T_2}{T_1}
B. \frac{T_2}{T_1}
C. \frac{T_1}{T_2}
D. 1 + \frac{T_2}{T_1}
Question 10
A particle of mass $m$ and charge $q$ moves in a circular path of radius $r$ in a uniform magnetic field of strength $B$. If the particle's speed is $v$, what is the magnitude of the magnetic field?
A. \frac{mv}{q r}
B. \frac{mv^2}{q r}
C. \frac{q r}{mv}
D. \frac{mv^2}{q r^2}
Question 11
A photon of energy 2 eV is incident on a metal surface with work function 1.5 eV. What is the maximum kinetic energy of the photoelectron?
A. 0.5 eV
B. 1 eV
C. 1.5 eV
D. 2 eV
Question 12
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?
A. 10 V
B. 20 V
C. 30 V
D. 40 V
Question 13
A \tank contains 1000 L of water at a pressure of 200 kPa. If a valve is opened and 100 L of water is released per second, what is the rate of change of the pressure in the \tank?
A. -20000 Pa/s
B. -40000 Pa/s
C. -60000 Pa/s
D. -80000 Pa/s
Question 14
A radioactive sample of uranium-238 undergoes \alpha decay, emitting an \alpha particle. If the initial mass of the sample is 100 g, what is the mass of the daughter nucleus after 10 half-lives?
A. 25 g
B. 50 g
C. 75 g
D. 87.5 g
Question 15
A block of mass 2 kg is attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 0.1 m from its equilibrium position and released, calculate the maximum speed of the block.
A. 0.5 m/s
B. 1 m/s
C. 1.5 m/s
D. 2 m/s

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