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If the radius of the first Bohr orbit is x, then de-Broglie wavelength of the electron in the third orbit is nearly

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By Expert Faculty of Sri Chaitanya
a
2πx
b
6πx
c
9x
d
x3

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detailed solution

Correct option is B

Angular momentum is quantized, hencemvrnnh2πBy Bohr's theory a0=Bohr's radius = xrn=n2a0Z=9a01=9x∴      mv9x=3h2π∴           mv=h6πxBy de-Broglie's equation λ=hmv=hh/6πx=6πx


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