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A particle describes a circular orbit under the influence of an attractive central force directed toward a point at the center. The force inversely proportional to
- a)r-5
- b)r3
- c)r4
- d)r5
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A particle describes a circular orbit under the influence of an attrac...
The path equation of a circular orbit
For attractive central force
For attractive central force
Most Upvoted Answer
A particle describes a circular orbit under the influence of an attrac...
Explanation:
Central Force and Circular Orbit:
- In a circular orbit, the central force acting on a particle is always directed towards the center of the orbit.
Inversely Proportional Force:
- The given central force is inversely proportional to r^5, where r is the distance between the particle and the center.
- This means that the magnitude of the force decreases as the distance between the particle and the center increases.
Choosing the Correct Option:
- The correct option is (D) r^5 because the force is inversely proportional to r^5 according to the question.
- Options (A) r^-5, (B) r^3, and (C) r^4 do not match the given description of the force acting on the particle.
Therefore, option (D) r^5 is the correct choice for the force that is inversely proportional to the distance r in this scenario.
Central Force and Circular Orbit:
- In a circular orbit, the central force acting on a particle is always directed towards the center of the orbit.
Inversely Proportional Force:
- The given central force is inversely proportional to r^5, where r is the distance between the particle and the center.
- This means that the magnitude of the force decreases as the distance between the particle and the center increases.
Choosing the Correct Option:
- The correct option is (D) r^5 because the force is inversely proportional to r^5 according to the question.
- Options (A) r^-5, (B) r^3, and (C) r^4 do not match the given description of the force acting on the particle.
Therefore, option (D) r^5 is the correct choice for the force that is inversely proportional to the distance r in this scenario.
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A particle describes a circular orbit under the influence of an attractive central force directed toward a point at the center. The force inversely proportional toa)r-5b)r3c)r4d)r5Correct answer is option 'D'. Can you explain this answer?
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