A) \[\frac{24\,hR}{25\,m}\]
B) \[\frac{25\,hR}{24\,m}\]
C) \[\frac{25\,m}{24\,h\,R}\]
D) \[\frac{24\,m}{25\,h\,R}\] (m is the mass of the electron, R Rydberg constant and h Planck's constant)
Correct Answer: A
Solution :
Here, \[{{E}_{5}}-{{E}_{1}}=\frac{hc}{\lambda }\]and\[\frac{R\,hc}{25}-R\,hc=\frac{hc}{\lambda }\] \[\frac{24}{25}R\,=\frac{1}{\lambda }\]But\[p=\frac{h}{\lambda }\]and\[v=\frac{h}{m\lambda }\] \[=\frac{24}{25}\frac{Rh}{m}\]
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