AP EAMCET · PHYSICS · Motion In One Dimension
Two bodies having masses in the ratio \(2: 3\) fall freely under gravity from heights which are in the ratio \(9: 16\). The ratio of their linear momenta on touching the ground is
- A \(2: 9\)
- B \(3: 16\)
- C \(1: 2\)
- D \(3: 2\)
Answer & Solution
Correct Answer
(C) \(1: 2\)
Step-by-step Solution
Detailed explanation
The velocity acquired by a mass \(m\) falling freely under the influence of gravity from the heigh \(h\) is \[ v=\sqrt{2 g h} \] Momentum of first body, \(p_1=m_1 v_1\) \[ \Rightarrow \quad=m_1 \sqrt{2 g h_1} \] Momentum of second body \(p_2=m_2 v_2\)…
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