A particle is moving with uniform speed along the circumference of a circle of radius R under the action of…

A particle is moving with uniform speed along the circumference of a circle of radius R under the action of a central fictitious force F which is inversely proportional to R3. Its time period of revolution will be given by :
  1. TR43
  2. TR52
  3. TR32
  4. TR2

Solution

F1R3

KR3=mω2R

ω2=Km×1R4

2πT2=Km×1R4

T2R4

TR2

Asked in: JEE Main 2021 (26 Feb Shift 1)

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