POST UTME ESUT 2019 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. Calculate the magnitude of the centripetal force acting on the particle.
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 2
A magnetic field is produced by a current-carrying wire. The wire is oriented at an angle of $30^\circ$ to the magnetic field. If the current in the wire is $I = 2A$, the magnetic field strength is $B = 0.5T$, and the length of the wire is $L = 1m$, find the force exerted on the wire.
A. 0.5N
B. 1N
C. 2N
D. 5N
Question 3
A 100 W light bulb is connected to a 220 V power source. If the resis\tance of the bulb is 100 Ω, what is the current flowing through the bulb?
A. 0.5 A
B. 1.0 A
C. 1.5 A
D. 2.0 A
Question 4
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 $F_c = \frac{mv^2}{r}$, determine the magnitude of the force $F_c$.
A. \frac{mv^2}{r}
B. \frac{mv}{r}
C. \frac{m}{v^2}
D. \frac{r}{mv}
Question 5
A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 100 V is applied across the plates, calculate the charge stored on the capacitor.
A. 10 mC
B. 100 mC
C. 1 μC
D. 10 μC
Question 6
A 5 kg block is moving at 10 m/s on a horizontal surface. If the coefficient of kinetic friction is 0.2, what is the force of friction acting on the block?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 7
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{m}{L}} \sinleft\( \frac{pi x}{L}\right \). Calculate the expectation value of the position operator $\hat{x}$ in the ground state.
A. \frac{L}{2}
B. \frac{L}{4}
C. \frac{3L}{4}
D. L
Question 8
A capacitor of capaci\tance $C$ is connected to a battery of voltage $V$ and then disconnected from the battery. If the capacitor is then connected to a resistor of resis\tance $R$, what is the time cons\tant of the circuit?
Question 9
A 10 kg object is moving in a circular path of radius 5 m with a speed of 2 m/s. What is the magnitude of the centripetal force acting on the object?
A. 4 N
B. 8 N
C. 16 N
D. 32 N
Question 10
A particle of mass $m$ is moving in a circular orbit of radius $r$ under the influence of a central force given by $F(r) = -\frac{k}{r^2}$. If the particle's speed is $v$, what is the total energy of the particle?
A. \frac{1}{2}mv^2
B. -\frac{k}{r}
C. \frac{1}{2}mv^2 + \frac{k}{r}
D. \frac{1}{2}mv^2 - \frac{k}{r}
Question 11
A sound wave with a frequency of 200 Hz is emitted from a source moving towards a stationary observer. If the speed of sound in air is 343 m/s, what is the apparent frequency heard by the observer?
A. 220 Hz
B. 240 Hz
C. 260 Hz
D. 280 Hz
Question 12
A gas is contained in a cylinder with volume $V = 2L$. The gas is heated, cau\sing its temperature to increase from $T_1 = 300K$ to $T_2 = 400K$. Assuming the gas is ideal, find the final volume of the gas.
A. 4L
B. 5L
C. 6L
D. 8L
Question 13
A wave of frequency $f$ and wavelength $\lambda$ is traveling through a medium. If the wave's speed is $v$, what is the wave number of the wave?
A. \frac{2\pi}{\lambda}
B. \frac{\lambda}{2\pi}
C. 2\pi f
D. \frac{v}{f}
Question 14
A 50 Ω resistor is connected in series with a 20 Ω resistor and a 10 Ω resistor. What is the equivalent resis\tance of the circuit?
A. 30 Ω
B. 40 Ω
C. 50 Ω
D. 60 Ω
Question 15
A 2.5 V battery is connected in series with a 10 Ω resistor and a 5 μF capacitor. The switch is closed at t = 0 s. What is the charge on the capacitor at t = 10 ms?
A. 0.5 μC
B. 1.0 μC
C. 1.5 μC
D. 2.0 μC

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