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NEET 2012
Exam
NEET
Year
2012
Subject
Physics
Chapter
Motion in One Dimension

NEET 2012 · Physics · Motion in One Dimension

A stone is dropped from a height h . It hits the ground with a...

A stone is dropped from a height hh. It hits the ground with a certain momentum pp. If the same stone is dropped from a height 100%100 \% more than the previous height, the momentum when it hits the ground will change by

Options

  1. A68%68 \%
  2. B41%41 \%
  3. C200%200 \%
  4. D100%100 \%

Correct answer

B. 41%41 \%

Step-by-step solution

Velocity v=2ghv=\sqrt{2 g h} and momentum p=mvp=m v From Eqs. (i) and (ii), we have Here p2p1=h2h1\frac{p_2}{p_1}=\sqrt{\frac{h_2}{h_1}}∴p2p1=2hh=2p2=1.414p1% change =p2−p1p1×100=41%\begin{aligned}& \therefore \quad \frac{p_2}{p_1}=\sqrt{\frac{2 h}{h}}=\sqrt{2}\\ & p_2=1.414 p_1 \\ & \% \text{ change }=\frac{p_2-p_1}{p_1} \times100=41 \% \end{aligned}$
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