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POST UTME IGBINEDION UNIVERSITY 2019 Physics | Objective

Are you preparing for POST UTME IGBINEDION UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2019 Physics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

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?

Correct 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} $

Correct Answer: A

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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} $

Correct C. $ 30^{circ} $

D. $ 40^{circ} $

Correct Answer: C

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Question 3

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?

Correct 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} $

Correct Answer: A

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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?

Correct A. $ omega = \sqrt{\frac{k}{m}} $

B. $ omega = \sqrt{\frac{m}{k}} $

C. $ omega = \sqrt{\frac{k}{2m}} $

D. $ omega = \sqrt{\frac{2m}{k}} $

Correct Answer: A

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Question 5

A radioactive sample has a half-life of $T_{1/2}$. If the initial number of nuclei is $N_0$, what is the number of nuclei remaining after a time $t$?

Correct A. $ N = N_0 left\( \frac{1}{2} \right \ $^{t/T_{1/2}})

B. $ N = N_0 left\( \frac{1}{2} \right \ $^{T_{1/2}/t})

C. $ N = N_0 left\( \frac{1}{2} \right \ $^{t/T_{1/2}^2})

D. $ N = N_0 left\( \frac{1}{2} \right \ $^{T_{1/2}^2/t})

Correct Answer: A

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Question 6

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

Correct C. 600 K

D. 700 K

Correct Answer: C

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Question 7

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

Correct C. 6 m/s²

D. 8 m/s²

Correct Answer: C

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Question 8

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

Correct C. 20 m

D. 25 m

Correct Answer: C

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Question 9

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

Correct C. 3 A

D. 4 A

Correct Answer: C

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Question 10

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%

Correct C. 30%

D. 40%

Correct Answer: C

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Question 11

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 $x_0$ and released from rest. Assuming the motion is simple harmonic, find the angular frequency of the particle's motion.

Correct A. \sqrt{\frac{k}{m}}

B. \frac{k}{m}

C. \frac{m}{k}

D. \frac{1}{\sqrt{mk}}

Correct Answer: A

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Question 12

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.

Correct A. R

B. \sqrt{L^2 + C^2}

C. \frac{1}{\sqrt{LC}}

D. \frac{R}{\sqrt{LC}}

Correct Answer: A

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Question 13

A wave with a frequency $f$ and amplitude $A$ is propagating through a medium with a speed $v$. Find the wavelength of the wave.

Correct A. \frac{v}{f}

B. \frac{f}{v}

C. \frac{A}{v}

D. \frac{v}{A}

Correct Answer: A

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Question 14

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.

Correct A. \frac{v^2}{r}

B. \frac{r}{v}

C. \frac{m}{r}

D. \frac{r}{m}

Correct Answer: A

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Question 15

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.

Correct A. \frac{V_0}{R}

B. \frac{R}{V_0}

C. \frac{L}{R}

D. \frac{R}{L}

Correct Answer: A

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Question 16

A wave with a frequency $f$ and amplitude $A$ is propagating through a medium with a speed $v$. Find the period of the wave.

Correct A. \frac{1}{f}

B. \frac{f}{v}

C. \frac{v}{f}

D. \frac{A}{v}

Correct Answer: A

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Question 17

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.

Correct A. \frac{1}{2}mv^2

B. \frac{mv^2}{2}

C. \frac{v^2}{2m}

D. \frac{m}{2v^2}

Correct Answer: A

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Question 18

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}

Correct Answer: VIEW ANSWER

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