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De Broglie's Hypothesis

Deduce the co...

Question

Deduce the condition when the De-Broglie wavelength associated with an electron would be equal to that associated with a proton if a proton is $1836$ times heavier than an electron

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Solution

$E i n s t e i n e q u a t i o n, E = m c^{2} P l a n c k^{'} s e q u a t i o n, E = h ν E q u a t i n g m c^{2} = h v v = \frac{c}{λ} λ = \frac{h}{m c} c = v λ = \frac{h}{m v}$

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