Question:

A particle is moving in circular path of radius r speed v such that speed is proportional to radius as \(V∝ r^{\frac{3}{2}}\). Then how does time period of revolution depends on r i.e Trn then \(n\) is.

Updated On: Aug 17, 2024
  • \(-\frac{1}{2}\)
  • \(\frac{5}{2}\)
  • \(-\frac{5}{2}\)
  • \(\frac{1}{2}\)
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The Correct Option is B

Solution and Explanation

The correct option is (B): \(\frac{5}{2}\)

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Questions Asked in JEE Main exam

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Concepts Used:

System of Particles and Rotational Motion

  1. The system of particles refers to the extended body which is considered a rigid body most of the time for simple or easy understanding. A rigid body is a body with a perfectly definite and unchangeable shape.
  2. The distance between the pair of particles in such a body does not replace or alter. Rotational motion can be described as the motion of a rigid body originates in such a manner that all of its particles move in a circle about an axis with a common angular velocity.
  3. The few common examples of rotational motion are the motion of the blade of a windmill and periodic motion.