Three objects of masses m₁, m₂ and m₃ are allowed to fall from rest from the same point along three different frictionless paths. Their speeds on reaching the ground are in the ratio:
Options

Question

Three objects of masses m₁, m₂ and m₃ are allowed to fall from rest from the same point along three different frictionless paths. Their speeds on reaching the ground are in the ratio:

G1 Physics · Accepted Answer

All paths are frictionless and start from the same height, so mgh=(1/2)mv² for each. Thus v=√(2gh) for all, giving 1:1:1. Hence option C.