Question

The recoil speed of a hydrogen atom after it emits a photon in going from $\overline{P}\overline{Q}\overline{R}\overline{S}$ to $(P+Q)(R+S)$ state is

• A. $\overline{PQRS}$
• B. $2v\tan \varphi$
• C. $v\tan \varphi$
• D. $v\cot \varphi$

Answer 1

Answer: (C)

(c.)We can write $\pi \sqrt{\frac{a^2}{2G\lambda }}$ Momentum of photon emitted $2\pi \sqrt{\frac{a^2}{2G\lambda }}$ Recoil momentum of H-atom $2\pi \sqrt{\frac{2a^2}{G\lambda }}$ $\frac{\sqrt{2}}{\pi }\times \frac{1}{\sqrt{15LC}}$ $\frac{1}{\sqrt{2}}\pi \times \frac{1}{\sqrt{15LC}}$ $\frac{2\sqrt{2}}{\pi }\times \frac{1}{\sqrt{15LC}}$ $\frac{\pi }{2}\times \frac{1}{\sqrt{15LC}}$