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Question

Find the de Broglie wavelength (in m) of an electron moving in the first Bohr orbit of hydrogen.

A
3.34×1010
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B
8.34×109
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C
5.34×1010
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D
6.34×109
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Solution

The correct option is A 3.34×1010
We know that
Velocity of an electron in Bohr's orbit is given by
v=2.18×106×Znm/sec
So, velocity of an electron in Bohr's first orbit of hydrogen is:
v=2.18×106m/sec
We know that:
Mass of electron(me)=9.1×1031kgh=6.63×1034Js
de Broglie wavelength(λ)=hmv=6.63×10349.1×1031×2.18×106=3.34×1010m

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