Three different objects of masses $m_{1}, m_{2} a n d m_{3}$ are allowed to fall from rest and from the same point 'O' along three different frictionless paths .The speeds of the three objects on reaching the ground will be in the ratio of :

m_{1} : m_{2} : m_{3}

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m_{1} : 2 m_{2} : m_{3}

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1 : 1 : 1

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\frac{1}{m_{1}} : \frac{1}{m_{2}} : \frac{1}{m_{3}}

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Solution

The correct option is C $1 : 1 : 1$
Velocity of body doesn't depend on the mass of body.
It only depends on the height of free fall.
Velocity with which the object reaches the ground $v = \sqrt{2 g h}$
For all three masses, height is same and hence velocity at ground level will be same.
$⟹ v_{1} : v_{2} : v_{3} = 1 : 1 : 1$

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