Question

According to de-Broglie explanation of Bohr's second postulate of quantization, the standing particle wave on a circular orbit for $n=4$ is given by

• A. $2\pi r_n=4/\lambda$
• B. $\frac{2\pi }{\lambda }=4r_n$
• C. $2\pi r_n=4\lambda$
• D. $\frac{\lambda }{2\pi }=4r_n$

Answer 1

The correct option is C $2\pi r_n=4\lambda$

According to debroglie explanation of Bohr's second postulate, assumption is made that integral number of wavelengths must fir in the circumference of circular orbit. The integral multiple comes out to be the same as quantization number.

$2\pi r_n=n\lambda$

For $n=4$,

$2\pi r_n=4\lambda$