Question

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

• A. $m_{1}: m_{2}: m_{3}$
• B. $1: 1: 1$
• C. $m_{1}: 2 m_{2}: 3 m_{3}$
• D. $\frac{1}{m_{1}}: \frac{1}{m_{2}}: \frac{1}{m_{3}}$

Answer 1

Answer: (B)

$1: 1: 1$

Answer 2

As the speed of an object, falling freely under gravity, depends only upon its height from which it is allowed to fall and not upon its mass. Since the paths are frictionless and all the objects are falling through the same vertical height, therefore their speeds on reaching the ground must be same. Or ratio of their speeds $= 1 : 1 : 1.$