POST UTME IGBINEDION UNIVERSITY 2019 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle of mass $m$ is moving in a circular path with a radius $r$ and a speed $v$. Find the centripetal acceleration of the particle.
A. \frac{v^2}{r}
B. \frac{r}{v}
C. \frac{m}{r}
D. \frac{r}{m}
Question 2
A beam of light of wavelength $5000 \text{ AA}$ is incident on a \single slit of width $0.5 \text{ mm}$. What is the angle of the first minimum in the dif\fraction pattern?
A. \( 10^{circ} \)
B. \( 20^{circ} \)
C. \( 30^{circ} \)
D. \( 40^{circ} \)
Question 3
A parallel plate capacitor has plates of area $A$ and separation $d$. If the space between the plates is filled with a dielectric of dielectric cons\tant $K$, what is the capaci\tance of the capacitor?
A. \( C = \frac{KA epsilon_0}{d} \)
B. \( C = \frac{A epsilon_0}{d} \)
C. \( C = \frac{KA epsilon_0}{2d} \)
D. \( C = \frac{A epsilon_0}{2d} \)
Question 4
A block of mass $m$ is attached to a horizontal spring of spring cons\tant $k$. If the block is displaced by a dis\tance $x$ and released from rest, what is the angular frequency of the resulting simple harmonic motion?
A. \( omega = \sqrt{\frac{k}{m}} \)
B. \( omega = \sqrt{\frac{m}{k}} \)
C. \( omega = \sqrt{\frac{k}{2m}} \)
D. \( omega = \sqrt{\frac{2m}{k}} \)
Question 5
A wave with a frequency $f$ and amplitude $A$ is propagating through a medium with a speed $v$. Find the wavelength of the wave.
A. \frac{v}{f}
B. \frac{f}{v}
C. \frac{A}{v}
D. \frac{v}{A}
Question 6
A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. The circuit is driven by a voltage source $V_0$ with a frequency $f$. Assuming the circuit is in resonance, find the impedance of the circuit.
A. R
B. \sqrt{L^2 + C^2}
C. \frac{1}{\sqrt{LC}}
D. \frac{R}{\sqrt{LC}}
Question 7
A circuit consists of a resistor $R$ and a capacitor $C$ connected in series. The circuit is driven by a voltage source $V_0$ with a frequency $f$. Assuming the circuit is in resonance, find the current in the circuit.
A. \frac{V_0}{R}
B. \frac{R}{V_0}
C. \frac{C}{R}
D. \frac{R}{C}
Question 8
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. If the particle is subjected to a uniform magnetic field of strength $B$, what is the frequency of the radiation emitted by the particle?
A. \( f = \frac{eBv}{2pi m} \)
B. \( f = \frac{eB}{2pi m} \)
C. \( f = \frac{eBv^2}{2pi m} \)
D. \( f = \frac{eB^2}{2pi m} \)
Question 9
A circuit consists of a resistor $R$ and an inductor $L$ connected in series. The circuit is driven by a voltage source $V_0$ with a frequency $f$. Assuming the circuit is in resonance, find the current in the circuit.
A. \frac{V_0}{R}
B. \frac{R}{V_0}
C. \frac{L}{R}
D. \frac{R}{L}
Question 10
A particle of mass $m$ is moving in a circular path with a radius $r$ and a speed $v$. Find the kinetic energy of the particle.
A. \frac{1}{2}mv^2
B. \frac{mv^2}{2}
C. \frac{v^2}{2m}
D. \frac{m}{2v^2}
Question 11
A resistor of 10 Ω and an inductor of 5 H are connected in series with a 12 V battery. What is the current in the circuit?
A. 1 A
B. 2 A
C. 3 A
D. 4 A
Question 12
A meter stick is used to measure the length of a room. If the meter stick is 1 m long and the room is 3.5 m long, what is the percentage error in the measurement?
A. 10%
B. 20%
C. 30%
D. 40%
Question 13
A particle of mass 0.5 kg is moving in a circular path of radius 2 m with a cons\tant speed of 4 m/s. What is the magnitude of the centripetal acceleration?
A. 2 m/s²
B. 4 m/s²
C. 6 m/s²
D. 8 m/s²
Question 14
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. What is the maximum height reached by the projectile?
A. 10 m
B. 15 m
C. 20 m
D. 25 m
Question 15
A gas is enclosed in a container of volume 2.5 m³ at a temperature of 300 K. If the pressure is increased to 2 atm, what is the new temperature of the gas, assuming ideal gas behavior?
A. 400 K
B. 500 K
C. 600 K
D. 700 K

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