question_answer

Rahul saw his younger sister wondering with the emission of light from a vapour lamp. She anxiously asked to Rahul, how different lights, Rahul explained that phenomenon to her. She became happy after knowing the cause.

(i) What are the values related to Rahul?s behavior?

(ii) Which series in the H-spectrum is in the visible light?

(iii) Calculate the minimum and maximum wavelengths for Balmer series.

Answer:

(i) Concernfor his younger sister and a scientific attitude.

(ii) Balmer series.

(iii) Since, we know for H-atom, Balmer series,

            \[\frac{1}{\lambda }=R\left[ \frac{1}{4}-\frac{1}{{{n}^{2}}} \right]\] \[\therefore \]      For \[{{\lambda }_{\max }},\] n = 3             \[\frac{1}{{{\lambda }_{\max }}}=R\left[ \frac{1}{4}-\frac{1}{9} \right]=\frac{5R}{36}\] \[\therefore \]      \[{{\lambda }_{\max }}=\frac{36}{5R}=656.3\,nm\] For        \[{{\lambda }_{\min }},\] \[n=\infty \therefore \frac{1}{{{\lambda }_{\min }}}=R\left[ \frac{1}{4}-\frac{1}{\infty } \right]\] \[\therefore \]      \[{{\lambda }_{\min }}=\frac{4}{R}=365\,nm\]