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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
  $\frac{{{\lambda _e}}}{{{\lambda _p}}} = \sqrt {\frac{{{m_p}}}{{{m_e}}}} $
• B
  $\frac{{{\lambda _e}}}{{{\lambda _p}}} = \sqrt {\frac{{{m_e}}}{{{m_p}}}} $
• C
  $\frac{{{\lambda _e}}}{{{\lambda _p}}} = \frac{1}{2}\sqrt {\frac{{{m_e}}}{{{m_p}}}} $
• ✓
  $\frac{{{\lambda _e}}}{{{\lambda _p}}} = 2\sqrt {\frac{{{m_p}}}{{{m_e}}}} $