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POST UTME IGBINEDION UNIVERSITY 2021 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 2021 Physics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

A 1000 Hz AC voltage source is connected to a 50 Ω resistor in series with a 10 μF capacitor. What is the impedance of the circuit at resonance?

A. 50 Ω

Correct B. 100 Ω

C. 200 Ω

D. 250 Ω

Correct Answer: B

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Question 2

A heat engine operates between two reservoirs at temperatures 500 K and 300 K. If the engine produces 100 J of work per cycle, what is the efficiency of the engine?

A. 20%

B. 30%

Correct C. 40%

D. 50%

Correct Answer: C

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Question 3

A convex lens of focal length 20 cm forms an image of an object at a dis\tance of 30 cm from the lens. What is the magnification of the lens?

A. -0.5

Correct B. -1.0

C. -1.5

D. -2.0

Correct Answer: B

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Question 4

A particle of mass 2 kg is moving in a circular path of radius 5 m with a speed of 10 m/s. What is the centripetal force acting on the particle?

A. 20 N

B. 50 N

Correct C. 100 N

D. 200 N

Correct Answer: C

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Question 5

A circuit consists of a 10 Ω resistor in series with a 20 Ω resistor and a 5 μF capacitor in parallel. What is the equivalent resis\tance of the circuit?

A. 10 Ω

B. 15 Ω

Correct C. 20 Ω

D. 25 Ω

Correct Answer: C

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Question 6

A parallel plate capacitor consists of two plates of area $A$ separated by a dis\tance $d$. The capaci\tance of the capacitor is given by $C = \frac{epsilon_0 A}{d}$. If the area of the plates is doubled and the dis\tance between them is halved, what is the new capaci\tance?

A. \frac{\epsilon_0 A}{d}

B. \frac{2\epsilon_0 A}{d}

C. \frac{\epsilon_0 (2A)}{d}

Correct D. \frac{2\epsilon_0 A}{d/2}

Correct Answer: D

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Question 7

A light wave of wavelength $\lambda$ is incident on a double-slit apparatus. The slits are separated by a dis\tance $d$ and the screen is placed at a dis\tance $L$ from the slits. If the first minimum of the interference pattern occurs at an angle $\theta$ from the central maximum, what is the value of $\sin \theta$?

Correct A. \frac{\lambda}{d}

B. \frac{d}{\lambda}

C. \frac{\lambda}{L}

D. \frac{L}{\lambda}

Correct Answer: A

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Question 8

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 $F_c = \frac{mv^2}{r}$, what is the magnitude of the acceleration of the particle?

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

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

C. \frac{m}{r}

D. \frac{r}{m}

Correct Answer: A

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Question 9

A photon of energy $E$ is incident on a metal surface. If the work function of the metal is $\phi$, what is the maximum kinetic energy of the photoelectron?

Correct A. E - \phi

B. E + \phi

C. \phi - E

D. \phi + E

Correct Answer: A

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Question 10

A light wave of frequency $f$ is pas\sing through a medium of re\fractive index $n$. If the speed of the light wave in the medium is $v$, what is the wavelength of the light wave?

Correct A. \frac{v}{f}

B. \frac{f}{v}

C. nf

D. \frac{1}{nf}

Correct Answer: A

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Question 11

A parallel plate capacitor has plates of area 0.04 m^2 and separation 3 mm. If the dielectric cons\tant of the material between the plates is 3.2, calculate the capaci\tance.

A. 2.5 μF

Correct B. 5.0 μF

C. 10.0 μF

D. 20.0 μF

Correct Answer: B

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Question 12

A gas at 300 K and 1 atm expands to 2 atm. If the initial volume is 100 L, what is the final volume?

A. 50 L

B. 100 L

Correct C. 200 L

D. 400 L

Correct Answer: C

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Question 13

A 100 W heater is used to heat a room. If the room has a volume of 100 m^3 and the temperature is 20°C, what is the rate of heat transfer?

A. 2000 J/s

B. 4000 J/s

Correct C. 6000 J/s

D. 8000 J/s

Correct Answer: C

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Question 14

A radioactive sample has a half-life of 10 years. If the initial activity is 100 Bq, what is the activity after 20 years?

A. 25 Bq

Correct B. 50 Bq

C. 100 Bq

D. 200 Bq

Correct Answer: B

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Question 15

A 2 kg block is attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 0.1 m and released, what is the maximum speed?

A. 0.5 m/s

B. 1.0 m/s

Correct C. 2.0 m/s

D. 5.0 m/s

Correct Answer: C

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Question 16

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 $omega$ in terms of $m$, $k$, and $x_0$.

A. \omega = \frac{k}{m}

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

C. \omega = \frac{m}{k}

D. \omega = \frac{x_0}{m}

Correct Answer: B

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Question 17

A circuit consists of a 12 V battery, a 4 Ω resistor, and an inductor with induc\tance $L$. The circuit is connected to a switch that is initially open. At $t = 0$, the switch is closed. Find the current $I(t)$ in the circuit at time $t$.

Correct A. I(t) = \frac{12}{4} \left$ 1 - e^{-\frac{t}{L}} \right $

B. I(t) = \frac{12}{4} \left$ 1 + e^{-\frac{t}{L}} \right $

C. I(t) = \frac{12}{4} \left$ 1 - e^{\frac{t}{L}} \right $

D. I(t) = \frac{12}{4} \left$ 1 + e^{\frac{t}{L}} \right $

Correct Answer: A

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Question 18

A photon of energy $E$ is incident on a metal surface. The work function of the metal is $W$. Find the maximum kinetic energy $K_{max}$ of the photoelectrons emitted.

A. K_{max} = E + W

Correct B. K_{max} = E - W

C. K_{max} = W - E

D. K_{max} = E \cdot W

Correct Answer: B

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Question 19

A block of mass $m$ is attached to a horizontal, massless spring with spring cons\tant $k$. The block is displaced from its equilibrium position by a dis\tance $x_0$ and released from rest. Assuming the motion is simple harmonic, find the period $T$ of the motion in terms of $m$, $k$, and $x_0$.

A. T = 2\pi \sqrt{\frac{k}{m}}

Correct B. T = 2\pi \sqrt{\frac{m}{k}}

C. T = 2\pi \sqrt{\frac{k}{x_0}}

D. T = 2\pi \sqrt{\frac{x_0}{m}}

Correct Answer: B

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Question 20

A circuit consists of a 12 V battery, a 4 Ω resistor, and a capacitor with capaci\tance $C$. The circuit is connected to a switch that is initially open. At $t = 0$, the switch is closed. Find the charge $Q(t)$ on the capacitor at time $t$.

Correct A. Q(t) = C \cdot 12 \left$ 1 - e^{-\frac{t}{RC}} \right $

B. Q(t) = C \cdot 12 \left$ 1 + e^{-\frac{t}{RC}} \right $

C. Q(t) = C \cdot 12 \left$ 1 - e^{\frac{t}{RC}} \right $

D. Q(t) = C \cdot 12 \left$ 1 + e^{\frac{t}{RC}} \right $

Correct Answer: A

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Question 21

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. If the particle is subjected to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?

A. 2 m/s^2

B. 4 m/s^2

Correct C. 6 m/s^2

D. 8 m/s^2

Correct Answer: C

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Question 22

A 10 μF capacitor is connected in series with a 20 Ω resistor and a 50 V battery. What is the time cons\tant of the circuit?

A. 0.1 s

Correct B. 0.2 s

C. 0.5 s

D. 1 s

Correct Answer: B

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Question 23

A block of mass 5 kg is attached to a horizontal spring with a force cons\tant of 200 N/m. If the block is displaced by 2 m from its equilibrium position and released from rest, what is the maximum speed of the block?

A. 2 m/s

B. 4 m/s

Correct C. 6 m/s

D. 8 m/s

Correct Answer: C

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Question 24

A parallel plate capacitor has a capaci\tance of 10 μF and a plate separation of 2 mm. If the dielectric cons\tant of the material between the plates is 3, what is the electric field between the plates?

A. 1000 V/m

B. 2000 V/m

Correct C. 3000 V/m

D. 4000 V/m

Correct Answer: C

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Question 25

A 10 Ω resistor is connected in series with a 20 Ω resistor and a 50 V battery. What is the current flowing through the 10 Ω resistor?

A. 1 A

Correct B. 2 A

C. 3 A

D. 4 A

Correct Answer: B

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