A particle is moving in a circular path of radius a under the action of an attractive potential U = - k 2 r…

A particle is moving in a circular path of radius a under the action of an attractive potential U=-k2r2. Its total energy is:
  1. -32ka2
  2. k4a2
  3. k2a2
  4. Zero

Solution

U=-K2r2F=-dUdr=2K2r3=Kr3mv2r=Kr3v2=Kmr2
12mv2=K2r2E=K2r2-K2r2=0.

Asked in: JEE Main 2018 (08 Apr)

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