A toy car travels in horizontal circle of radius 2a, kept on the track by a radial…

Physics · JEE Advanced · NTA ExamsRotational Motion

A toy car travels in horizontal circle of radius 2a, kept on the track by a radial elastic string. Its period is T. The length of the unstretched string is found to be a. When the car is speeded up, the string stretches until the car is moving in a circle of radius 3a. Assuming that the string obeys Hooke’s’ law, the period of revolution is
  1. T(3/4)
  2. \(T \sqrt{3 / 4}\)
  3. \(T \sqrt{4 / 3}\)
  4. T

Answer

(B) T 3 / 4

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