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POST UTME LEAD CITY UNIVERSITY 2020 Physics | Objective

Are you preparing for POST UTME LEAD CITY UNIVERSITY 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.

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Question 1

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 angular velocity of the particle?

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 2

A 100 V, 50 Hz AC supply is connected across a 20 Ω resistor. What is the rms value of the current flowing through the resistor?

A. 0.5 A

Correct B. 1 A

C. 1.5 A

D. 2 A

Correct Answer: B

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Question 3

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

A. 1 L

B. 2 L

C. 3 L

Correct D. 4 L

Correct Answer: D

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Question 4

A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. What is the equivalent resis\tance of the circuit?

A. 10 Ω

B. 20 Ω

C. 30 Ω

Correct D. 40 Ω

Correct Answer: D

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Question 5

A particle of mass 1 kg is moving in a straight line with a velocity of 5 m/s. If the particle is subjected to a force of 10 N, what is the acceleration of the particle?

A. 1 m/s^2

B. 2 m/s^2

C. 3 m/s^2

Correct D. 4 m/s^2

Correct Answer: D

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Question 6

A particle of mass $m$ is confined to a one-dimensional box of length $L$. Calculate the expectation value of the position operator $hat{x}$ in the ground state.

Correct A. \frac{L}{2}

B. \frac{L}{\sqrt{2}}

C. \frac{L}{\sqrt{3}}

D. \frac{L}{\sqrt{4}}

Correct Answer: A

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Question 7

A sound wave with frequency $f$ and amplitude $A$ is propagating through a medium with speed $v$. Calculate the intensity of the sound wave.

Correct A. \frac{1}{2} \rho v A^2

B. \frac{1}{2} \rho v^2 A^2

C. \frac{1}{2} \rho v A

D. \frac{1}{2} \rho v^2 A

Correct Answer: A

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Question 8

A magnetic field $B$ is directed perp\endicular to a current-carrying wire of length $L$. Calculate the force exerted on the wire.

Correct A. qvB

B. qv^2B

C. qv^2B^2

D. qvB^2

Correct Answer: A

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Question 9

A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. Calculate the impedance of the circuit.

Correct A. \sqrt{R^2 + $ \omega L - \frac{1}{\omega C} $^2}

B. \sqrt{R^2 + $ \omega L + \frac{1}{\omega C} $^2}

C. \sqrt{R^2 + $ \omega L - \frac{1}{\omega C} $}

D. \sqrt{R^2 + $ \omega L + \frac{1}{\omega C} $}

Correct Answer: A

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Question 10

A wave function $\psi(x)$ is given by $\psi(x) = Ae^{-\frac{x^2}{2a^2}}$. Calculate the expectation value of the position operator $\hat{x}$.

Correct A. \frac{1}{\sqrt{2a^2}} \int_{-\infty}^{\infty} x Ae^{-\frac{x^2}{2a^2}} dx

B. \frac{1}{\sqrt{2a^2}} \int_{-\infty}^{\infty} x^2 Ae^{-\frac{x^2}{2a^2}} dx

C. \frac{1}{\sqrt{2a^2}} \int_{-\infty}^{\infty} x^3 Ae^{-\frac{x^2}{2a^2}} dx

D. \frac{1}{\sqrt{2a^2}} \int_{-\infty}^{\infty} x^4 Ae^{-\frac{x^2}{2a^2}} dx

Correct Answer: A

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Question 11

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. 10 m/s^2

Correct B. 12 m/s^2

C. 15 m/s^2

D. 20 m/s^2

Correct Answer: B

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Question 12

A heat engine operates between two temperatures of 500 K and 300 K. If the engine has an efficiency of 30%, what is the temperature of the hot reservoir?

A. 600 K

B. 650 K

Correct C. 700 K

D. 750 K

Correct Answer: C

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Question 13

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If the projectile lands 10 m away from the point of launch, what is the time of flight?

A. 1 s

Correct B. 2 s

C. 3 s

D. 4 s

Correct Answer: B

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Question 14

A wave with a frequency of 100 Hz and a wavelength of 0.1 m is traveling through a medium with a speed of 300 m/s. What is the amplitude of the wave?

Correct A. 0.01 m

B. 0.02 m

C. 0.03 m

D. 0.04 m

Correct Answer: A

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Question 15

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, what is the voltage across the 4 Ω resistor?

A. 8 V

Correct B. 10 V

C. 12 V

D. 16 V

Correct Answer: B

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Question 16

A gas at 300 K expands from 1.0 L to 2.0 L against a cons\tant external pressure of 2.0 atm. Calculate the work done by the gas in Joules.

A. 120 J

B. 240 J

Correct C. 360 J

D. 480 J

Correct Answer: C

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Question 17

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

Correct A. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: A

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Question 18

A current of 5 A flows through a resistor of 10 Ω. What is the power dissipated by the resistor?

A. 25 W

Correct B. 50 W

C. 75 W

D. 100 W

Correct Answer: B

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Question 19

A nucleus of mass number 240 and atomic number 94 undergoes \alpha decay. What is the mass number of the daughter nucleus?

Correct A. 236

B. 238

C. 240

D. 242

Correct Answer: A

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Question 20

A magnetic field of 0.5 T is applied to a coil of 100 turns and radius 0.1 m. What is the magnetic flux through the coil?

A. 0.05 Wb

Correct B. 0.1 Wb

C. 0.15 Wb

D. 0.2 Wb

Correct Answer: B

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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 acceleration of 2 m/s^2, what is the force exerted on the particle?

A. 8 N

B. 10 N

Correct C. 12 N

D. 16 N

Correct Answer: C

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Question 22

A wave with a frequency of 50 Hz and a wavelength of 0.2 m is traveling through a medium. If the wave is reflected from a fixed \end, what is the new frequency of the wave?

Correct A. 25 Hz

B. 50 Hz

C. 75 Hz

D. 100 Hz

Correct Answer: A

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Question 23

A simple harmonic motion has a maximum displacement of 2 m and a period of 4 s. If the motion starts from its equilibrium position, what is the equation of motion?

Correct A. x(t) = 2 \sin$ \frac{\pi}{2} t $

B. x(t) = 2 \sin$ \frac{\pi}{4} t $

C. x(t) = 2 \sin$ \frac{\pi}{8} t $

D. x(t) = 2 \sin$ \frac{\pi}{16} t $

Correct Answer: A

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Question 24

A magnetic field of 0.5 T is directed along the z-axis. If a current of 2 A is flowing in a circular loop of radius 0.1 m, what is the magnetic moment of the loop?

A. 0.1 A m^2

Correct B. 0.2 A m^2

C. 0.3 A m^2

D. 0.4 A m^2

Correct Answer: B

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Question 25

A gas is heated from 300 K to 400 K. If the initial volume is 2 m^3 and the final volume is 3 m^3, what is the change in internal energy?

A. 1000 J

B. 2000 J

Correct C. 3000 J

D. 4000 J

Correct Answer: C

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