Question

The wavelength(${\lambda }_n$) of the pion orbiting in nth stationary state is given by

• A. ${\lambda }_{\pi }$ $\alpha$ $\frac{n}{m_{\pi }z}$
• B. ${\lambda }_{\pi }$ $\alpha$ $\frac{m_{\pi }n}{z}$
• C. ${\lambda }_{\pi }$ $\alpha$ $\frac{m_{\pi }z}{n}$
• D. ${\lambda }_{\pi }$ $\alpha$ $\frac{z}{m_{\pi }n}$

Answer 1

The correct option is A ${\lambda }_{\pi }$ $\alpha$ $\frac{n}{m_{\pi }z}$

$\lambda =\frac{h}{\sqrt{2E_m}}$

$E\propto \frac{Z^2}{n^2}$

$\lambda \propto \frac{n}{mZ}$