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

Answer

B

Explanation

As the speed of an object , falling treely under gravity , depends only upon its height from which it is allowed to fall and not upon its mass . Since the path are frictionless and all the objects are falling through the same vertical height , therefore their speeds on reaching the ground must be same . Or ratio of their speed = 1:1:1