Find the number of waves formed by an electro | vedclass

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(A) According to Bohr's postulate,the angular momentum of an electron in a stationary orbit is quantized as $mvr = \frac{nh}{2\pi}$.From de Broglie's

Vedclass · Accepted Answer

$3$

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(A) According to Bohr's postulate,the angular momentum of an electron in a stationary orbit is quantized as $mvr = \frac{nh}{2\pi}$.From de Broglie's hypothesis,the wavelength of an electron is $\lambda = \frac{h}{mv}$.Substituting $mv = \frac{h}{\lambda}$ into the Bohr's postulate: $\frac{h}{\lambda} 	imes r = \frac{nh}{2\pi}$.This simplifies to $2\pi r = n\lambda$,where $2\pi r$ is the circumference of the orbit.Therefore,the number of waves formed by an electron in an orbit is equal to the principal quantum number $n$.For the $n = 3$ orbit,the number of waves is $3$.

Find the number of waves formed by an electron in the $n = 3$ orbit of a Bohr atom.

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