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:

Step-by-step solution

Given m 1 = m 2 and r 1 r 2 = 3 4 As centripetal force is given by F = m v 2 r , in order to have the same centripetal force, we can write F 1 = F 2 ⇒ m 1 v 1 2 r 1 = m 2 v 2 2 r 2 ⇒ v 1 v 2 = r 1 r 2 = 3 2