Two positively charged particles m_1 and m_2 have been accelerated across the same potential difference of 200 keV as shown below. [Given mass of…

Two positively charged particles $\displaystyle \mathrm{m}_1$ and $\displaystyle \mathrm{m}_2$ have been accelerated across the same potential difference of $\displaystyle 200$ keV as shown below. [Given mass of $\displaystyle \mathrm{m}_1=1 \mathrm{amu}$ and $\displaystyle \mathrm{m}_2=4 \mathrm{amu}$ ] The deBroglie wavelength of $\displaystyle \mathrm{m}_1$ will be $\displaystyle x$ times of $\displaystyle \mathrm{m}_2$. The value of $\displaystyle x$ is $\displaystyle \_\_\_\_$ (nearest integer)