Two bodies of masses 2m and m have their kine | vedclass

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(C) The relationship between momentum $p$,mass $m$,and kinetic energy $E$ is given by $p = \sqrt{2mE}$.For two bodies,the ratio of their momenta is $\

Vedclass · Accepted Answer

$4$

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(C) The relationship between momentum $p$,mass $m$,and kinetic energy $E$ is given by $p = \sqrt{2mE}$.For two bodies,the ratio of their momenta is $\frac{p_1}{p_2} = \sqrt{\frac{m_1}{m_2} 	imes \frac{E_1}{E_2}}$.Given $m_1 = 2m$,$m_2 = m$,and $\frac{E_1}{E_2} = \frac{8}{1}$.Substituting these values,we get $\frac{p_1}{p_2} = \sqrt{\frac{2m}{m} 	imes \frac{8}{1}} = \sqrt{2 	imes 8} = \sqrt{16} = 4$.Therefore,the ratio of their momenta is $4:1$.

Two bodies of masses $2m$ and $m$ have their kinetic energies in the ratio $8 : 1$. What is the ratio of their momenta (in $:1$)?

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