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} $



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