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POST UTME GREENFIELD UNIVERSITY 2018 Physics | Objective

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Question 1 View Details

A particle of mass $m$ is moving in a circular orbit of radius $r$ under the influence of a magnetic field of strength $B$. If the particle's speed is $v$, what is the magnitude of the magnetic field?

Correct A. \frac{mv}{qr}

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

C. \frac{m}{qr}

D. \frac{v}{qr}

Correct Answer: A

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Question 2 View Details

A convex lens of focal length $f$ forms an image of an object at a dis\tance $u$ from the lens. If the object is moved to a dis\tance $2u$, what is the new image dis\tance?

Correct A. \frac{f}{2}

B. \frac{f}{4}

C. \frac{f}{3}

D. \frac{f}{5}

Correct Answer: A

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Question 3 View Details

A container of volume $V$ contains an ideal gas at temperature $T$. If the gas is heated to a temperature $2T$, what is the new volume?

Correct A. 2V

B. V

C. \frac{V}{2}

D. \frac{V}{3}

Correct Answer: A

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Question 4 View Details

A wave of frequency $f$ and wavelength $\lambda$ is traveling through a medium. If the wave is reflected from a surface, what is the frequency of the reflected wave?

Correct A. f

B. 2f

C. \frac{f}{2}

D. \frac{f}{3}

Correct Answer: A

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Question 5 View Details

A particle of mass $m$ is in a one-dimensional potential well of width $a$. If the particle has a wave function $\psi(x) = A \sin$ \frac{n\pi x}{a} $$, what is the value of $n$?

Correct A. n=1

B. n=2

C. n=3

D. n=4

Correct Answer: A

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Question 6 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. 6 m/s^2

Correct B. 12 m/s^2

C. 18 m/s^2

D. 24 m/s^2

Correct Answer: B

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Question 7 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. 25 cm

Correct Answer: A

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Question 8 View Details

A wave of frequency 50 Hz and amplitude 2 cm is traveling along a string. If the string is stretched to a tension of 10 N, what is the speed of the wave?

A. 20 m/s

B. 30 m/s

Correct C. 40 m/s

D. 50 m/s

Correct Answer: C

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Question 9 View Details

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

A. 25 Bq

Correct B. 50 Bq

C. 75 Bq

D. 100 Bq

Correct Answer: B

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Question 10 View Details

A particle of mass 1 kg is moving in a circular path of radius 2 m with a cons\tant speed of 3 m/s. If the particle is subjected to a centripetal force of 6 N, what is the magnitude of the acceleration of the particle?

Correct A. 6 m/s^2

B. 12 m/s^2

C. 18 m/s^2

D. 24 m/s^2

Correct Answer: A

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Question 11 View Details

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 12 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 0.1 m from its equilibrium position and released from rest, calculate the maximum kinetic energy of the particle.

A. 0.5 J

Correct B. 1 J

C. 1.5 J

D. 2 J

Correct Answer: B

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Question 13 View Details

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 0.1 H inductor in series. If the circuit is closed at t = 0, calculate the current in the circuit at t = 0.1 s.

A. 0.5 A

Correct B. 1 A

C. 1.5 A

D. 2 A

Correct Answer: B

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Question 14 View Details

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

A. 12.5 Bq

Correct B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: B

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Question 15 View Details

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°

Correct B. 30°

C. 40°

D. 50°

Correct Answer: B

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Question 16 View Details

A parallel beam of light of wavelength 500 nm is incident on a glass slab 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 17 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. Calculate 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 18 View Details

A liquid of density 800 kg/m³ is flowing through a horizontal pipe of radius 0.1 m. If the pressure difference between the two \ends of the pipe is 1000 Pa, calculate the volume flow rate.

A. 0.01 m³/s

B. 0.02 m³/s

Correct C. 0.03 m³/s

D. 0.04 m³/s

Correct Answer: C

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Question 19 View Details

A body of mass 5 kg is moving with a velocity of 10 m/s. If it is subjected to a force of 20 N, calculate the acceleration produced.

A. 2 m/s²

B. 4 m/s²

Correct C. 6 m/s²

D. 8 m/s²

Correct Answer: C

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Question 20 View Details

A thermodynamic system is undergoing a process in which the volume is increa\sing at a cons\tant rate. If the initial volume is 2 m³ and the final volume is 4 m³, calculate the work done.

A. 100 J

B. 200 J

Correct C. 300 J

D. 400 J

Correct Answer: C

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Question 21 View Details

A block of mass 5 kg is attached to a horizontal, massless spring with a spring cons\tant of 200 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, calculate the maximum speed of the block.

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 22 View Details

A car travels from point A to point B with an average speed of 60 km/h. On the return trip, the car travels with an average speed of 40 km/h. What is the average speed of the car for the entire trip?

A. 45 km/h

B. 50 km/h

Correct C. 55 km/h

D. 60 km/h

Correct Answer: C

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Question 23 View Details

A 1000-Hz sound wave is traveling through a medium with a speed of 340 m/s. What is the wavelength of the sound wave?

Correct A. 0.34 m

B. 0.34 m

C. 0.34 m

D. 0.34 m

Correct Answer: A

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Question 24 View Details

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

A. 10 Ω

B. 12 Ω

Correct C. 14 Ω

D. 16 Ω

Correct Answer: C

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Question 25 View Details

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. What is the maximum height reached by the projectile?

A. 10 m

Correct B. 15 m

C. 20 m

D. 25 m

Correct Answer: B

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