Electrons are accelerated through a potential difference V and protons are accelerated through a potential difference 4 V. The de-Broglie wavelengths are \[{{\lambda }_{e}}\] and \[{{\lambda }_{p}}\] for electrons and protons respectively. The ratio of \[\frac{{{\lambda }_{e}}}{{{\lambda }_{p}}}\]is given by: (given \[{{m}_{e}}\]is mass of electron and \[{{m}_{p}}\]is mass of proton)

• A. \[\sqrt{\frac{{{m}_{p}}}{{{m}_{e}}}}\]
• B. \[\sqrt{\frac{{{m}_{e}}}{{{m}_{p}}}}\]
• C. \[\frac{1}{2}\sqrt{\frac{{{m}_{e}}}{{{m}_{p}}}}\]
• D. \[2\sqrt{\frac{{{m}_{e}}}{{{m}_{p}}}}\]