A) \[{{M}_{2}}{{V}_{2}}<{{M}_{1}}{{V}_{1}}\]
B) \[{{M}_{2}}{{V}_{2}}={{M}_{1}}{{V}_{1}}\]
C) \[{{M}_{2}}{{V}_{1}}={{M}_{1}}{{V}_{2}}\]
D) \[{{M}_{2}}{{V}_{2}}>{{M}_{1}}{{V}_{1}}\]
Correct Answer: D
Solution :
\[P=\sqrt{2\,mE}.\]If kinetic energy are equal then \[P\propto \sqrt{m}\] i.e., heavier body posses large momentum As \[{{M}_{1}}<{{M}_{2}}\]therefore \[{{M}_{1}}{{V}_{1}}<{{M}_{2}}{{V}_{2}}\]
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