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POST UTME IMS U 2020 Physics | Objective

Are you preparing for POST UTME IMS U exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2020 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 0.04 m^2 and separation 0.02 m. If the dielectric cons\tant of the material between the plates is 3, calculate the capaci\tance.

A. 1.6 x 10^-10 F

Correct B. 3.2 x 10^-10 F

C. 4.8 x 10^-10 F

D. 6.4 x 10^-10 F

Correct Answer: B

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Question 2

A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. If the particle is subject to a centripetal force of 12 N, calculate the acceleration of the particle.

A. 0.5 m/s^2

Correct B. 1 m/s^2

C. 1.5 m/s^2

D. 2 m/s^2

Correct Answer: B

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Question 3

A wave has a frequency of 20 Hz and a wavelength of 0.5 m. If the wave is traveling at a speed of 40 m/s, calculate the amplitude of the wave.

Correct A. 0.1 m

B. 0.2 m

C. 0.3 m

D. 0.4 m

Correct Answer: A

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Question 4

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the current in the circuit is 2 A, calculate the voltage across the 6 Ω resistor.

A. 8 V

Correct B. 10 V

C. 12 V

D. 14 V

Correct Answer: B

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Question 5

A photon has an energy of 2.5 eV. If the photon is incident on a metal surface with a work function of 1.5 eV, calculate the kinetic energy of the emitted electron.

Correct A. 0.5 eV

B. 1 eV

C. 1.5 eV

D. 2 eV

Correct Answer: A

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Question 6

A particle of mass 2 kg is attached to a spring with spring cons\tant 100 N/m. It is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the kinetic energy of the particle when it has moved 0.1 m from its equilibrium position.

A. 0.5 J

Correct B. 1.0 J

C. 1.5 J

D. 2.0 J

Correct Answer: B

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Question 7

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.005 m. If a potential difference of 10 V is applied across the plates, calculate the capaci\tance.

Correct A. 0.08 F

B. 0.16 F

C. 0.24 F

D. 0.32 F

Correct Answer: A

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Question 8

A block of mass 5 kg is placed on a frictionless surface and a horizontal force of 20 N is applied to it. If the block starts from rest, calculate its velocity after 2 s.

A. 2 m/s

Correct B. 4 m/s

C. 6 m/s

D. 8 m/s

Correct Answer: B

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Question 9

A ray of light passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.

A. 20°

B. 30°

Correct C. 40°

D. 50°

Correct Answer: C

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Question 10

A lens of focal length 0.2 m is used to form an image of an object 0.5 m away. If the object is 0.1 m high, calculate the height of the image.

A. 0.05 m

B. 0.1 m

Correct C. 0.15 m

D. 0.2 m

Correct Answer: C

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Question 11

A particle of mass $m$ is confined to a one-dimensional box of length $L$. The wave function of the particle is given by $psi(x) = \sqrt{\frac{2}{L}} \sinleft$ \frac{npi x}{L}\right $$, where $n$ is a positive integer. What is the expectation value of the position of the particle in the ground state $ $n=1$ $?

A. 0

Correct B. L/2

C. L

D. L/4

Correct Answer: B

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Question 12

A 2.0 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 0.20 m from its equilibrium position and released from rest. What is the speed of the block when it passes through its equilibrium position?

A. 0.20 m/s

B. 0.40 m/s

Correct C. 0.60 m/s

D. 0.80 m/s

Correct Answer: C

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Question 13

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the current in the circuit?

A. 1.5 A

Correct B. 2.0 A

C. 2.5 A

D. 3.0 A

Correct Answer: B

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Question 14

A gas occupies a volume of 2.0 L at a pressure of 1.0 atm. What is the pressure of the gas when its volume is increased to 4.0 L?

A. 0.25 atm

Correct B. 0.50 atm

C. 0.75 atm

D. 1.0 atm

Correct Answer: B

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Question 15

A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. What is the magnitude of the force acting on the particle?

A. m v^2 / r

B. m v^2 / (2 r)

Correct C. 2 m v^2 / r

D. 3 m v^2 / r

Correct Answer: C

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Question 16

A particle of mass $m$ is moving in a circular path of radius $R$ with a cons\tant speed $v$. If the particle is subjected to a centripetal force $F_c = \frac{mv^2}{R}$, what is the work done by this force as the particle moves through an angle $\theta$?

Correct A. $ W = \frac{1}{2}mv^2\( 1 - \cos\theta \ $ )

B. $ W = \frac{1}{2}mv^2\( 1 + \cos\theta \ $ )

C. $ W = mv^2\( 1 - \cos\theta \ $ )

D. $ W = mv^2\( 1 + \cos\theta \ $ )

Correct Answer: A

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Question 17

A parallel plate capacitor has a capaci\tance of $C = 2 \times 10^{-6} , \text{F}$ and is charged to a potential difference of $V = 10 , \text{V}$. If the plates are then separated by a dis\tance $d = 2 , \text{mm}$, what is the energy stored in the capacitor?

Correct A. $ U = \frac{1}{2}CV^2 $

B. $ U = \frac{1}{2}CV $

C. $ U = \frac{1}{2}CV^2 left\( 1 - \frac{d}{D} \right \ $ )

D. $ U = \frac{1}{2}CV^2 left\( 1 + \frac{d}{D} \right \ $ )

Correct Answer: A

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Question 18

A beam of light is incident on a prism with an angle of incidence $i = 30^circ$. If the re\fractive index of the prism is $n = 1.5$, what is the angle of re\fraction $r$?

A. $ r = i $

B. $ r = 2i $

Correct C. $ r = \sin^{-1} left\( \frac{n \sin i}{n + \sin i} \right \ $ )

D. $ r = \sin^{-1} left\( \frac{n \sin i}{n - \sin i} \right \ $ )

Correct Answer: C

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Question 19

A circuit consists of a resistor $R = 10 , Omega$, an inductor $L = 5 , \text{H}$, and a capacitor $C = 2 \times 10^{-6} , \text{F}$ connected in series. If the circuit is driven by a voltage source $V = 10 , \text{V}$ with a frequency $f = 50 , \text{Hz}$, what is the impedance of the circuit?

A. $ Z = R $

Correct B. $ Z = \sqrt{R^2 + \( X_L - X_C \ $^2} )

C. $ Z = \sqrt{R^2 + \( X_L + X_C \ $^2} )

D. $ Z = \sqrt{R^2 + \( X_L - X_C \ $^2} left$ 1 - \frac{X_L}{X_C} \right $ )

Correct Answer: B

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Question 20

A light ray is incident on a mirror with an angle of incidence $i = 45^circ$. If the mirror is a concave mirror with a focal length $f = -10 , \text{cm}$, what is the angle of reflection $r$?

Correct A. $ r = i $

B. $ r = 2i $

C. $ r = \sin^{-1} left\( \frac{n \sin i}{n + \sin i} \right \ $ )

D. $ r = \sin^{-1} left\( \frac{n \sin i}{n - \sin i} \right \ $ )

Correct Answer: A

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Question 21

A radioactive sample of Δₗ emits Δₗα particles with a half-life of 3.8 × 10¹ years. If the initial activity is 2.5 × 10¹ Bq, what is the activity after 1.2 × 10¹ years?

Correct A. 1.1 × 10¹ Bq

B. 1.2 × 10¹ Bq

C. 1.3 × 10¹ Bq

D. 1.4 × 10¹ Bq

Correct Answer: A

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Question 22

A 100 µF capacitor is connected in series with a 200 µF capacitor and a 20 µF resistor. If a 10 V AC source is applied across the circuit, what is the current through the circuit?

A. 0.5 A

Correct B. 1.0 A

C. 1.5 A

D. 2.0 A

Correct Answer: B

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Question 23

A sound wave with a frequency of 200 Hz and a speed of 343 m/s is traveling through a medium. If the wave is reflected off a surface, what is the frequency of the reflected wave?

A. 100 Hz

Correct B. 200 Hz

C. 300 Hz

D. 400 Hz

Correct Answer: B

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Question 24

A circuit consists of a 10 µF capacitor in parallel with a 20 µF resistor. If a 5 V DC source is applied across the circuit, what is the current through the capacitor?

A. 0.25 A

Correct B. 0.5 A

C. 0.75 A

D. 1.0 A

Correct Answer: B

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Question 25

A 100 µF capacitor is connected in series with a 20 µF resistor and a 10 µF capacitor. If a 10 V AC source is applied across the circuit, what is the impedance of the circuit?

A. 10 µF

B. 20 µF

Correct C. 30 µF

D. 40 µF

Correct Answer: C

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