The ratio of the speeds of the objects of masses `m_(1), m_(2),` and my respectively are fallen freely from a same point 'O' when reaches at ground is ......

Options

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

Answer

C

Explanation

In equation
`v ^(2) - v _(0)^(2) =2ad`
` v ^(2) = 2 gH (because v _(0) = 0,a = g, d = H)`
`therefore v ` is independent of mass.
`therefore v ^(2) ` is constant.
`therefore` Ratio` =1:1:1`