Three different objects of masses `m_(1) , m_(2)` and `m_(2)` are allowed to fall from rest and from the same point `O` along three different frictionless paths. The speeds of three objects on reaching the ground will be:

Options

A. `m_(1):m_(2):m_(3)`
B. `m_(1):2m_(2):3m_(3)`
C. `1:1:1`
D. `(1)/(m_(1)):(1)/(m_(2)):(1)/(m_(3))`

Answer

C

Explanation

PE=KE
`mgh=(1)/(2)mv^(2)`
`v=sqrt(2gh)` [does not depend upon mass]