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} $