Electron are accelerated through a potential difference V and protons are accelerated through a potential difference of 4 V. The de-Broglie wavelength are `lamda_e and lamda_p` for electrons and protons, respectively The ratio of `lamda_e/lamda_p` is given by ( given , `m_e` is mass of electron and `m_p` is mass of proton )

Options

A. `(lamda_e)/(lamda_p) = sqrt( m_p/m_e)`
B. `(lamda_e)/(lamda_p) = sqrt(m_e/m_p)`
C. `(lamda_e)/(lamda_p) = 1/2 sqrt(m_e/m_p)`
D. `(lamda_e)/(lamda_p) = 2 sqrt(m_p/m_e)`

Answer

D

Explanation

`(lamda_e)/(lamda_p) = 2 sqrt(m_p/m_e)`