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Three different objects of masses m1, m2, and m3 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

1. (a) m1 : m2 : m3
2. (b) m1 : 2m2 : 3m3
3. (c) 1 : 1 : 1
4. (d) 1/m1 : 1/m2 : 1/m3

Correct answer: (c) 1 : 1 : 1

Solution

The speed of an object falling under gravity depends only on the height and not on its mass, as per the equation v = √(2gh). Since all objects fall from the same height, their speeds will be the same, giving a ratio of 1:1:1.

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