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Q.

Electrons are accelerated through a potential difference V and protons are accelerated through a potential difference 4 V. The de-Broglie wavelengths are λe and λp for electrons and protons respectively. The ratio of λeλp is given by  (given me is mass of electron and mp is mass of proton).

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a

λeλp=mpme

b

λeλp=memp

c

λeλp=12memp

d

λeλp=2mpme

answer is D.

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Detailed Solution

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λ=h2mVqλ1mV

λeλp=mpVpmeVe=mp(4V)me(V)

λeλp=2mpme

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