Work Energy And Power Question 50

Question: Two bodies of different masses $ m_1 $ and $ m_2 $ have equal momenta. Their kinetic energies $ E_1 $ and $ E_2 $ are in the ratio [EAMCET 1990]

Options:

A) $ \sqrt{m_1}:\sqrt{m_2} $

B) $ m_1:m_2 $

C) $ m_2:m_1 $

D) $ m_1^{2}:m_2^{2} $

Show Answer

Answer:

Correct Answer: C

Solution:

$ E=\frac{P^{2}}{2m} $ if bodies possess equal linear momenta then $ E\propto \frac{1}{m} $ i.e. $ \frac{E_1}{E_2}=\frac{m_2}{m_1} $



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