Three different objects of masses `m_(1) , m_(2)` and `m_(2)` are allowed to fall from rest and from the same point `O` along three different frictionless paths. The speeds of three objects on reaching the ground will be:

Options

A. `m_1 : m_2 : m_3`
B. `m_1 : 2m_(2) : 3_(m_3)`
C. `1 : 1 : 1`
D. `(1)/(m_1) : (1)/(m_2) : (1)/(m_3)`

Answer

C

Explanation

When a body is dropped down freely from a height. It begins to fall towards the earth under gravity The acceleration due to gravity (g) is same for all bodies and does not depend on shape, size or mass of body.
Speed of the object at reaching the ground `v = sqrt(2 gh)`. If height are equal than velocity will also be equal. Hence, speed of three objects on reaching the ground will be same i.e., `1 : 1 : 1`.