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POST UTME NOUN 2021 Physics | Objective

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Question 1 View Details

A particle of mass 2 kg is attached to a spring with spring cons\tant 100 N/m. If the particle is displaced by 0.5 m from its equilibrium position and released from rest, determine 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 2 View Details

A 200 V, 50 Hz AC supply is connected across a resistor of 10 Ω. Calculate the rms value of the current flowing through the resistor.

A. 2 A

Correct B. 4 A

C. 6 A

D. 8 A

Correct Answer: B

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Question 3 View Details

A body of mass 5 kg is moving in a circular path of radius 2 m with a cons\tant speed of 4 m/s. Determine the magnitude of the force acting on the body.

A. 20 N

B. 30 N

Correct C. 40 N

D. 50 N

Correct Answer: C

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Question 4 View Details

A 100 W heater is connected to a 230 V AC supply. Calculate the current drawn by the heater.

A. 0.5 A

B. 1 A

C. 1.5 A

Correct D. 2 A

Correct Answer: D

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Question 5 View Details

A particle of mass 3 kg is moving in a circular path of radius 3 m with a cons\tant speed of 6 m/s. Determine the magnitude of the force acting on the particle.

A. 60 N

B. 80 N

C. 100 N

Correct D. 120 N

Correct Answer: D

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Question 6 View Details

A 1000 W heater is used to heat a room. If the heater operates at 90% efficiency, how much electrical energy is wasted per hour?

Correct A. 900 Wh

B. 1000 Wh

C. 1100 Wh

D. 1200 Wh

Correct Answer: A

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Question 7 View Details

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in parallel. What is the total resis\tance of the circuit?

A. 2 Ω

Correct B. 3 Ω

C. 4 Ω

D. 6 Ω

Correct Answer: B

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Question 8 View Details

A gas expands from 1.5 L to 2.5 L against a cons\tant external pressure of 2 atm. If the initial temperature is 300 K, what is the final temperature?

A. 200 K

B. 300 K

Correct C. 400 K

D. 500 K

Correct Answer: C

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Question 9 View Details

A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. What is the magnitude of the centripetal force acting on the particle?

A. 10 N

B. 20 N

Correct C. 30 N

D. 40 N

Correct Answer: C

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Question 10 View Details

A photon of wavelength 500 nm is incident on a metal surface. If the work function of the metal is 2.5 eV, what is the maximum kinetic energy of the emitted electron?

A. 1.5 eV

Correct B. 2.0 eV

C. 2.5 eV

D. 3.0 eV

Correct Answer: B

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Question 11 View Details

A particle of mass $m$ is confined to a one-dimensional box of length $L$. The ground state wave function of the particle is given by $psi_0(x) = \sqrt{\frac{2}{L}} \sinleft$ \frac{pi x}{L}\right $$. What is the probability of finding the particle in the region $0 < x < \frac{L}{4}$?

Correct A. 0.25

B. 0.5

C. 0.75

D. 1.0

Correct Answer: A

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Question 12 View Details

A sound wave with frequency $f$ is traveling through a medium with speed $v$. If the wave is reflected off a stationary surface, what is the frequency of the reflected wave?

Correct A. f

B. 2f

C. 3f

D. 4f

Correct Answer: A

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Question 13 View Details

A beam of light is pas\sing through a prism with an angle of re\fraction $\theta_r$. If the angle of incidence is $\theta_i$, what is the angle of re\fraction?

Correct A. \theta_i

B. \theta_i + \theta_r

C. \theta_i - \theta_r

D. \theta_i + \theta_r + \theta_r

Correct Answer: A

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Question 14 View Details

A magnetic field is generated by a current-carrying wire with a radius of $r$. If the current is $I$, what is the magnetic field strength at a dis\tance $d$ from the wire?

Correct A. \frac{\mu_0 I}{2 \pi d}

B. \frac{\mu_0 I}{4 \pi d}

C. \frac{\mu_0 I}{6 \pi d}

D. \frac{\mu_0 I}{8 \pi d}

Correct Answer: A

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Question 15 View Details

A capacitor with capaci\tance $C$ is connected to a battery with voltage $V$. If the capacitor is discharged through a resistor with resis\tance $R$, what is the time cons\tant of the circuit?

Correct A. RC

B. R/C

C. C/R

D. V/R

Correct Answer: A

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Question 16 View Details

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. 8 m/s^2

B. 10 m/s^2

Correct C. 12 m/s^2

D. 16 m/s^2

Correct Answer: C

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Question 17 View Details

A convex lens of focal length 20 cm is placed in contact with a concave lens of focal length -15 cm. What is the focal length of the combination?

Correct A. 10 cm

B. 15 cm

C. 20 cm

D. 30 cm

Correct Answer: A

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Question 18 View Details

A wave of frequency 50 Hz and wavelength 10 m is traveling through a medium. If the wave is reflected from a fixed \end, what is the frequency of the reflected wave?

Correct A. 50 Hz

B. 75 Hz

C. 100 Hz

D. 125 Hz

Correct Answer: A

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Question 19 View Details

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If air resis\tance is neglected, 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 20 View Details

A spring of spring cons\tant 100 N/m is stretched by 5 cm. If the spring is then released, what is the maximum velocity of the spring?

A. 1 m/s

B. 2 m/s

Correct C. 3 m/s

D. 4 m/s

Correct Answer: C

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Question 21 View Details

A 2 kg block of copper is heated from 20°C to 80°C. If the specific heat capacity of copper is 0.385 J/g°C, calculate the energy required to heat the block.

A. 150 J

B. 300 J

Correct C. 450 J

D. 600 J

Correct Answer: C

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Question 22 View Details

A force of 10 N is applied to a spring with a spring cons\tant of 2 N/m. Calculate the displacement of the spring.

A. 2 m

Correct B. 4 m

C. 5 m

D. 6 m

Correct Answer: B

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Question 23 View Details

A radioactive sample decays from 100 g to 50 g in 10 years. Calculate the half-life of the sample.

A. 5 years

Correct B. 10 years

C. 15 years

D. 20 years

Correct Answer: B

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Question 24 View Details

A capacitor is charged to a potential difference of 10 V. If the capaci\tance is 2 μF, calculate the energy stored in the capacitor.

A. 0.1 J

B. 0.2 J

Correct C. 0.3 J

D. 0.4 J

Correct Answer: C

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Question 25 View Details

A vector has a magnitude of 5 m and makes an angle of 30° with the x-axis. Calculate the x and y components of the vector.

Correct A. x-component = 4 m, y-component = 2.5 m

B. x-component = 3 m, y-component = 4 m

C. x-component = 2 m, y-component = 5 m

D. x-component = 1 m, y-component = 6 m

Correct Answer: A

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