POST UTME LASU 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle of mass $m$ is moving in a straight line with a velocity $v$. If the particle is subject to a force $F$ that is proportional to the square of the velocity, what is the acceleration of the particle?
A. \frac{k v^2}{m}
B. \frac{k v}{m}
C. \frac{k}{m}
D. \frac{k v^2}{2m}
Question 2
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. If the particle is subject to a centripetal force $F_c$, what is the magnitude of the force?
A. \frac{mv^2}{r}
B. \frac{mv^2}{2r}
C. \frac{mv^2}{4r}
D. \frac{mv^2}{8r}
Question 3
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. If the particle is subject to a centripetal force $F_c$, what is the magnitude of the acceleration $a$?
A. \frac{F_c}{m}
B. \frac{v^2}{r}
C. \frac{F_c}{m} + \frac{v^2}{r}
D. \frac{F_c}{m} - \frac{v^2}{r}
Question 4
A wave of frequency $f$ and wavelength $\lambda$ is propagating through a medium. If the wave is reflected from a fixed \end, what is the phase shift of the reflected wave?
A. $\pi$
B. $\frac{\pi}{2}$
C. $\frac{\pi}{4}$
D. $\frac{\pi}{6}$
Question 5
A particle of mass $m$ is attached to a spring with spring cons\tant $k$. The particle is displaced from its equilibrium position by a dis\tance $x$ and released from rest. Assuming the motion is simple harmonic, find the kinetic energy of the particle as a function of time $t$.
A. \frac{1}{2}m\omega^2x^2
B. \frac{1}{2}m\omega^2x^2\cos^2\omega t
C. \frac{1}{2}m\omega^2x^2\sin^2\omega t
D. \frac{1}{2}m\omega^2x^2\cos\omega t
Question 6
A 10 V battery is connected to a 2 Ω resistor. If the current is 2 A, what is the power dissipated by the resistor?
A. 20 W
B. 40 W
C. 60 W
D. 80 W
Question 7
A wave of amplitude $A$ and frequency $f$ is propagating through a medium. If the wave is damped by a factor of $e^{-\beta t}$, what is the new amplitude of the wave?
A. Ae^{-\beta t}
B. Ae^{\beta t}
C. Ae^{-\beta t^2}
D. Ae^{\beta t^2}
Question 8
A magnetic field of 0.5 T is applied to a current-carrying wire with a length of 0.1 m and a cross-sectional area of 0.001 m^2. If the current in the wire is 2 A, what is the magnitude of the force exerted on the wire?
A. 0.01 N
B. 0.05 N
C. 0.1 N
D. 0.2 N
Question 9
A gas is contained in a cylinder with a volume of 0.05 m^3. The gas is heated from 300 K to 400 K, cau\sing its pressure to increase from 100 kPa to 150 kPa. What is the change in the number of moles of the gas?
A. 0.01 mol
B. 0.05 mol
C. 0.1 mol
D. 0.2 mol
Question 10
A 2.0 L container holds 1.5 mol of an ideal gas at a temperature of 300 K. If the gas is heated to 400 K while the volume remains cons\tant, what is the final pressure of the gas?
A. 2.5 atm
B. 3.0 atm
C. 3.5 atm
D. 4.0 atm
Question 11
A parallel-plate capacitor has plates of area $A$ and separation $d$. If the capaci\tance is $C$, what is the value of the dielectric cons\tant $kappa$?
A. 1
B. 2
C. 3
D. 4
Question 12
A simple p\endulum of length 1.5 m has a time period of 2 s. What is the acceleration due to gravity?
A. 9.8 m/s^2
B. 10.0 m/s^2
C. 10.2 m/s^2
D. 10.5 m/s^2
Question 13
A block of mass 5 kg is attached to a horizontal, massless spring with a spring cons\tant of 200 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, calculate the maximum speed of the block.
A. 10 m/s
B. 20 m/s
C. 30 m/s
D. 40 m/s
Question 14
A radioactive sample decays at a rate of 0.5% per hour. If the initial mass of the sample is 100 g, what is the mass of the sample after 5 hours?
A. 50 g
B. 75 g
C. 87.5 g
D. 100 g
Question 15
A particle of mass 0.5 kg is moving in a circular path with a radius of 0.2 m. If the particle's speed is 4 m/s, what is the magnitude of the net force acting on the particle?
A. 0.5 N
B. 1.0 N
C. 1.5 N
D. 2.0 N

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