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Question: Three different objects of masses \(m_{1},m_{2}\) and \(m_{3}\) are allowed to fall from rest and fr...

Three different objects of masses m1,m2m_{1},m_{2} and m3m_{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

A

m1:m2:m3m_{1}:m_{2}:m_{3}

B

m1:2m2:3m3m_{1}:2m_{2}:3m_{3}

C

1 : 1 : 1

D

1m1:1m2:1m3\frac{1}{m_{1}}:\frac{1}{m_{2}}:\frac{1}{m_{3}}

Answer

1 : 1 : 1

Explanation

Solution

Speed of the object at reaching the ground v=2ghv = \sqrt{2gh}

If heights are equal then velocity will also be equal.