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POST UTME ESUT 2023 Physics | Objective

Are you preparing for POST UTME ESUT exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2023 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

A particle of mass $m$ is confined to a one-dimensional box of length $L$. If the energy levels are given by $E_n = \frac{n^2 pi^2 hbar^2}{2mL^2}$, what is the ratio of the energy of the second excited state to the ground state?

Correct A. $ \frac{9}{1} $

B. $ \frac{4}{1} $

C. $ \frac{9}{4} $

D. $ \frac{16}{9} $

Correct Answer: A

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Question 2

A parallel plate capacitor has a capaci\tance of $C = 10 mu F$ and is charged to a potential difference of $V = 12 V$. If the plates are then separated by a dis\tance of $d = 2 cm$, what is the new capaci\tance?

A. ( 20 mu F )

Correct B. ( 5 mu F )

C. ( 15 mu F )

D. ( 25 mu F )

Correct Answer: B

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Question 3

A radioactive sample has a half-life of $T_{1/2} = 10$ years. If the initial activity is $A_0 = 100$ Bq, what is the activity after $t = 20$ years?

A. ( 25 ) Bq

B. ( 50 ) Bq

Correct C. ( 12.5 ) Bq

D. ( 6.25 ) Bq

Correct Answer: C

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Question 4

A heat engine operates between two reservoirs at temperatures $T_1 = 500 K$ and $T_2 = 300 K$. If the engine has an efficiency of $eta = 0.3$, what is the temperature of the hot reservoir?

A. ( 600 K )

B. ( 700 K )

Correct C. ( 800 K )

D. ( 900 K )

Correct Answer: C

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Question 5

A simple p\endulum has a length of $L = 1 m$ and a mass of $m = 0.1 kg$. If the p\endulum is displaced by an angle of $\theta = 30^circ$ and released from rest, what is the angular frequency of the p\endulum?

A. ( 0.5 ) rad/s

Correct B. ( 1.0 ) rad/s

C. ( 1.5 ) rad/s

D. ( 2.0 ) rad/s

Correct Answer: B

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Question 6

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.

Correct A. 0.01 F

B. 0.02 F

C. 0.03 F

D. 0.04 F

Correct Answer: A

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Question 7

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

A. 20°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

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Question 8

A particle of mass 0.5 kg is moving in a circular path of radius 0.2 m with a speed of 2 m/s. Calculate the centripetal force acting on the particle.

A. 0.5 N

B. 1 N

Correct C. 2 N

D. 5 N

Correct Answer: C

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Question 9

A photon of energy 4 eV is incident on a metal surface with work function 2 eV. Calculate the maximum kinetic energy of the emitted electron.

A. 1 eV

B. 2 eV

Correct C. 3 eV

D. 4 eV

Correct Answer: C

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Question 10

A simple harmonic motion has a maximum acceleration of 10 m/s^2 and a period of 2 s. Calculate the amplitude of the motion.

A. 0.5 m

B. 1 m

Correct C. 2 m

D. 5 m

Correct Answer: C

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Question 11

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 total energy of the particle at time t = 0.

A. 10 J

Correct B. 20 J

C. 30 J

D. 40 J

Correct Answer: B

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Question 12

A wave has a frequency of 50 Hz and a wavelength of 0.5 m. Calculate the speed of the wave.

A. 25 m/s

Correct B. 50 m/s

C. 75 m/s

D. 100 m/s

Correct Answer: B

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Question 13

A light ray 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.

Correct A. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: A

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Question 14

A lens of focal length 0.2 m is used to form an image of an object 0.5 m away. Calculate the magnification of the image.

A. 2

Correct B. 3

C. 4

D. 5

Correct Answer: B

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Question 15

A body of mass 5 kg is moving with a velocity of 10 m/s. Calculate its kinetic energy.

A. 250 J

Correct B. 500 J

C. 750 J

D. 1000 J

Correct Answer: B

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Question 16

A 50 Hz, 200 V AC source is connected to a 100 Ω resistor. Calculate the rms value of the current flowing through the resistor.

A. 1 A

Correct B. 2 A

C. 4 A

D. 5 A

Correct Answer: B

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Question 17

A particle of mass 0.5 kg is attached to a spring with a spring cons\tant of 100 N/m. The particle is displaced by 0.2 m from its equilibrium position and released from rest. Calculate the angular frequency of the resulting simple harmonic motion.

A. 10 rad/s

Correct B. 20 rad/s

C. 30 rad/s

D. 40 rad/s

Correct Answer: B

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Question 18

A gas occupies a volume of 2 L at a pressure of 1 atm and a temperature of 300 K. Calculate the volume of the gas at a pressure of 2 atm and a temperature of 400 K.

A. 2 L

Correct B. 4 L

C. 6 L

D. 8 L

Correct Answer: B

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Question 19

A magnetic field of 0.5 T is directed perp\endicular to a current-carrying wire. The wire carries a current of 2 A. Calculate the force exerted on a 0.1 m length of the wire.

A. 0.05 N

Correct B. 0.1 N

C. 0.15 N

D. 0.2 N

Correct Answer: B

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Question 20

A 10 μF capacitor is connected in series with a 100 Ω resistor. A 10 V DC source is applied across the circuit. Calculate the time cons\tant of the circuit.

Correct A. 10^-3 s

B. 10^-2 s

C. 10^-1 s

D. 10^0 s

Correct Answer: A

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Question 21

A parallel plate capacitor has plates of area 0.04 m^2 and separation 3 mm. The capaci\tance is 2.5 nF. If a potential difference of 10 V is applied across the plates, calculate the charge stored on the plates.

Correct A. 0.025 C

B. 0.05 C

C. 0.1 C

D. 0.2 C

Correct Answer: A

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Question 22

A current of 5 A flows through a resistor of 10 Ω. Calculate the power dissipated in the resistor.

Correct A. 25 W

B. 50 W

C. 100 W

D. 200 W

Correct Answer: A

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Question 23

A magnetic field of 0.5 T is applied to a coil of 100 turns and area 0.01 m^2. Calculate the torque experienced by the coil.

Correct A. 0.05 Nm

B. 0.1 Nm

C. 0.2 Nm

D. 0.5 Nm

Correct Answer: A

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Question 24

A gas is heated from 300 K to 400 K. Calculate the change in internal energy.

A. 1000 J

Correct B. 2000 J

C. 3000 J

D. 4000 J

Correct Answer: B

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Question 25

A projectile is launched at an angle of 60° to the horizontal with an initial velocity of 20 m/s. Calculate the time of flight.

A. 2 s

Correct B. 4 s

C. 6 s

D. 8 s

Correct Answer: B

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