The de-Broglie wavelength of an electron in the first Bohr orbit is : |
Equal to one fourth the circumference of the first orbit Equal to half the circumference of the first orbit Equal to twice the circumference of the first orbit Equal to the circumference of the first orbit |
Equal to the circumference of the first orbit |
$m v r_n=\frac{n h}{2 \pi} \Rightarrow p r_n=\frac{n h}{2 \pi} \Rightarrow \frac{h}{\lambda} \times r_n=\frac{n h}{2 \pi}$ $\Rightarrow \lambda=\frac{2 \pi r_n}{n}$, for first orbit n = 1 so $\lambda=2 \pi r_1$ = circumference of first orbit |