Work Energy And Power Question 31
Question: Two bodies of masses $ m_1 $ and $ m_2 $ have equal kinetic energies. If $ p_1 $ and $ p_2 $ are their respective momentum, then ratio $ p_1:p_2 $ is equal to [MP PMT 1985; CPMT 1990]
Options:
A) $ m_1:m_2 $
B) $ m_2:m_1 $
C) $ \sqrt{m_1}:\sqrt{m_2} $
D) $ m_1^{2}:m_2^{2} $
Show Answer
Answer:
Correct Answer: C
Solution:
$ P=\sqrt{2mE} $ \ $ P\propto \sqrt{m} $
$ (\text{if }E=const\text{.)} $ \ $ \frac{P_1}{P_2}=\sqrt{\frac{m_1}{m_2}} $
