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A particle moves in a circle of radius R with a constant speed. If its angular acceleration is doubled, how would the period of the particle's motion change?
  • a)
    It will decrease to half of its initial value.
  • b)
    It will remain the same.
  • c)
    It will increase to twice its initial value.
  • d)
    It will increase to four times its initial value.
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A particle moves in a circle of radius R with a constant speed. If its...


Explanation:

Constant Speed Circular Motion:
- When a particle moves in a circle with constant speed, its angular velocity remains constant.
- The period of the particle's motion (time taken to complete one full circle) is given by T = 2πR/v, where R is the radius of the circle and v is the speed of the particle.

Effect of Doubling Angular Acceleration:
- If the angular acceleration is doubled, it means that the rate at which the particle's angular velocity changes also doubles.
- However, since the speed of the particle is constant, the angular velocity remains constant.
- Therefore, the period of the particle's motion remains unchanged because the angular velocity (and consequently, the time taken to complete one full circle) remains the same.

Conclusion:
- In this scenario, where the particle moves in a circle with constant speed and its angular acceleration is doubled, the period of the particle's motion will remain the same.
- Therefore, option 'B' is the correct answer.
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Community Answer
A particle moves in a circle of radius R with a constant speed. If its...
The period of a particle in circular motion is the time taken to complete one full revolution. The period is given by T = 2π/ω, where ω is the angular velocity. Angular acceleration, α, does not affect the period directly. The angular acceleration determines how quickly the angular velocity changes, but it does not affect the time taken for one complete revolution. Therefore, if the angular acceleration is doubled, the period of the particle's motion will remain the same.
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A particle moves in a circle of radius R with a constant speed. If its angular acceleration is doubled, how would the period of the particles motion change?a)It will decrease to half of its initial value.b)It will remain the same.c)It will increase to twice its initial value.d)It will increase to four times its initial value.Correct answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A particle moves in a circle of radius R with a constant speed. If its angular acceleration is doubled, how would the period of the particles motion change?a)It will decrease to half of its initial value.b)It will remain the same.c)It will increase to twice its initial value.d)It will increase to four times its initial value.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle moves in a circle of radius R with a constant speed. If its angular acceleration is doubled, how would the period of the particles motion change?a)It will decrease to half of its initial value.b)It will remain the same.c)It will increase to twice its initial value.d)It will increase to four times its initial value.Correct answer is option 'B'. Can you explain this answer?.
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