Work Energy And Power Question 58
Question: Two bodies of masses m and 2m have same momentum. Their respective kinetic energies $ E_1 $ and $ E_2 $ are in the ratio [MP PET 1997; KCET 2004]
Options:
A) 1 : 2
B) 2 : 1
C) $ 1:\sqrt{2} $
D) 1 : 4
Show Answer
Answer:
Correct Answer: B
Solution:
$ E=\frac{P^{2}}{2m}. $ If momentum are same then $ E\propto \frac{1}{m} $
$ \frac{E_1}{E_2}=\frac{m_2}{m_1}=\frac{2m}{m}=\frac{2}{1} $
