If the radius of curvature of the path of two particles of same mass are in the ratio 3 : 4 , then in order…

If the radius of curvature of the path of two particles of same mass are in the ratio 3: 4, then in order to have constant centripetal force, their velocities will be in the ratio of:
  1. 3:2
  2. 1:3
  3. 3:1
  4. 2:3

Solution

Given m1=m2 and r1r2=34

As centripetal force is given by F=mv2r, in order to have the same centripetal force, we can write

F1=F2⇒m1v12r1=m2v22r2⇒v1v2=r1r2=32

Asked in: JEE Main 2024 (29 Jan Shift 1)

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