Three objects of masses m_1, m_2, and m_3 fall from rest along three different frictionless paths from the same height. Their speeds on reaching the ground will be in the ratio:

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NEET Physics QUESTION #7299

Question 1

Three objects of masses $m_1$, $m_2$, and $m_3$ fall from rest along three different frictionless paths from the same height. Their speeds on reaching the ground will be in the ratio:

$m_1 : m_2 : m_3$
$m_1 : 2m_2 : 3m_3$
$1 : 1 : 1$✔️
$\dfrac{1}{m_1} : \dfrac{1}{m_2} : \dfrac{1}{m_3}$

Correct Answer Explanation

By conservation of energy: $mgh = \dfrac{1}{2}mv^2 \Rightarrow v = \sqrt{2gh}$

The final speed depends only on height $h$ and $g$, not on mass or the shape of the frictionless path. Since all start from the same height, all reach the ground with the same speed.

Ratio $= \mathbf{1:1:1}$

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