The condition for a stable wave in an orbit o | vedclass

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(A) According to the de Broglie hypothesis,for an electron to exist in a stable orbit,the circumference of the orbit must be an integral multiple of i

Vedclass · Accepted Answer

$n\lambda = 2\pi r$

Vedclass · Answer

(A) According to the de Broglie hypothesis,for an electron to exist in a stable orbit,the circumference of the orbit must be an integral multiple of its wavelength. Mathematically,this is expressed as $2\pi r = n\lambda$,where $n$ is an integer $(n = 1, 2, 3, ...)$,$r$ is the radius of the orbit,and $\lambda$ is the wavelength of the electron wave. Comparing this with the given options,the standard form is $n\lambda = 2\pi r$.

The condition for a stable wave in an orbit of radius $r$ is given by the de Broglie relationship where the circumference of the orbit must be an integral multiple of the wavelength.

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