Two positively charged particles $m_1$ and $m_2$ have been accelerated across the same potential dif

Question

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 $\mathrm{m}_1=1 \mathrm{amu}$ and $\mathrm{m}_2=4 \mathrm{amu}$ ]
The deBroglie wavelength of $\mathrm{m}_1$ will be $x$ times of $\mathrm{m}_2$. The value of $x$ is $\_\_\_\_$ (nearest integer)

Professor PC Thomas Classes · Answer

See detailed solution for explanation.