Electrons are accelerated through a potential difference V and protons are accelerated through a potential difference 4 ~V . The de - Broglie wavelengths are _ e and _ p for electrons and protons respectively. The ratio of _ e _ p is given by: (given m_ e is mass of electron and m_ p is mass of prot

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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 _ e and _ p for electrons and protons respectively. The ratio of _ e _ p is given by: (given m_ e is mass of electron and m_ p is mass of proton).

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Correct answer: D. 2 m_ p m_ e

Energy = charge potential diff. E _ electron = q _ e V and E _ proton = q _ p 4 ~V de - Broglie wavelength = h P = h 2 mE _ e = h 2 m_ e eV and _ P = h 2 m_ p e 4 ~V (q_ e =q_ p ) _ e _ P = h 2 m_ e eV h 2 m_ p e 4 ~V =2 m_ P m_ e

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