Number of waves formed by a Bohr electron in | vedclass

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Question

(D) According to the de Broglie hypothesis,the circumference of the $n^{th}$ orbit is equal to $n$ times the wavelength of the electron: $2 \pi r_n =

Vedclass · Accepted Answer

$3$

Vedclass · Answer

(D) According to the de Broglie hypothesis,the circumference of the $n^{th}$ orbit is equal to $n$ times the wavelength of the electron: $2 \pi r_n = n \lambda$.For the $3^{rd}$ orbit,$n = 3$.Therefore,the circumference is $2 \pi r_3 = 3 \lambda$.This implies that the electron forms $3$ complete waves in one revolution in the $3^{rd}$ orbit.Hence,the correct option is $D$.

Number of waves formed by a Bohr electron in one complete revolution in its third orbit is

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