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_2:2m_3`
C. `1:1:1`
D. `(1)/(m_1):(1)/(m_2):(1)/(m_3)`

Answer

C

Explanation

In each case, the potential energy `mgh` is converted into kinetic energy.
`v_1:v_2:v_3=1:1:1`