POST UTME AAUA 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A wave of frequency $f$ and amplitude $A$ is traveling in the positive $x$-direction. The wave function is given by $y(x,t) = A \sin\( kx - \omega t \)$. What is the wavelength of the wave?
A. \frac{2\pi}{k}
B. \frac{k}{2\pi}
C. \frac{\omega}{2\pi}
D. \frac{2\pi}{\omega}
Question 2
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. 8 Ω
B. 10 Ω
C. 12 Ω
D. 16 Ω
Question 3
A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle's speed is 4 m/s, what is the centripetal acceleration?
A. 0.5 m/s^2
B. 1 m/s^2
C. 2 m/s^2
D. 4 m/s^2
Question 4
A block of mass 5 kg is attached to a horizontal spring with a force cons\tant of 100 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. What is the maximum speed of the block?
A. 0.5 m/s
B. 1.0 m/s
C. 1.5 m/s
D. 2.0 m/s
Question 5
A particle moves in a circular path with a radius of 2.0 m and a speed of 4.0 m/s. What is the centripetal acceleration?
A. 2.0 m/s^2
B. 4.0 m/s^2
C. 6.0 m/s^2
D. 8.0 m/s^2
Question 6
A charged particle of mass $m$ and charge $q$ is moving in a circular orbit of radius $r$ in a uniform magnetic field $B$. The magnetic force on the particle is given by $F = qvB$. What is the angular frequency of the particle?
A. \frac{qB}{m}
B. \frac{qB}{mr}
C. \frac{m}{qB}
D. \frac{B}{mq}
Question 7
A convex lens with a focal length of 20 cm is used to form an image of an object placed 30 cm in front of it. What is the magnification of the image?
A. -0.5
B. -0.6
C. -0.7
D. -0.8
Question 8
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a cons\tant speed $v$. The particle is subject to a centripetal force $F_c = \frac{mv^2}{r}$. What is the angular frequency of the particle?
A. \frac{v}{r}
B. \frac{mv^2}{r}
C. \frac{r}{v}
D. \frac{v^2}{r}
Question 9
A gas at 300 K and 1 atm expands isothermally to a volume of 2 L. If the initial volume is 1 L, what is the work done by the gas?
A. 10 J
B. 20 J
C. 30 J
D. 40 J
Question 10
A wave of frequency $f$ and amplitude $A$ is traveling in the positive $x$-direction. The wave function is given by $y(x,t) = A \sin\( kx - \omega t \)$. What is the speed of the wave?
A. \frac{f}{k}
B. \frac{\omega}{k}
C. \frac{k}{f}
D. \frac{A}{f}
Question 11
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the current in the circuit?
A. 1.5 A
B. 2.0 A
C. 2.5 A
D. 3.0 A
Question 12
A block of mass 2 kg is susp\ended from a spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released, what is the maximum speed of the block as it passes through the equilibrium position?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 13
A photon has an energy of 2 eV. What is its wavelength?
A. 100 nm
B. 200 nm
C. 300 nm
D. 400 nm
Question 14
A wave has a frequency of 50 Hz and a wavelength of 0.02 m. What is the speed of the wave?
A. 1.0 m/s
B. 2.0 m/s
C. 3.0 m/s
D. 4.0 m/s
Question 15
A sound wave has a frequency of 200 Hz and a wavelength of 0.5 m. Calculate the speed of the sound wave.
A. 100 m/s
B. 200 m/s
C. 300 m/s
D. 400 m/s

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