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The wave number of the first emission line in the Balmer series of H-Spectrum is

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The wave number of the first emission line in the Balmer series of H-Spectrum is

(R = Rydberg constant) :

(a) \(\frac{5}{36}\)R

(b) \(\frac{9}{400}\)R

(c) \(\frac{7}{6}\)R

(d) \(\frac{3}{4}\)R

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Correct answer: (a) \(\frac{5}{36}\)R

Explanation:

\(\bar{v} = RZ^2(\frac{1}{2^2}- \frac{1}{3^2})\)

= R(\(\frac{1}{4} - \frac{1}{9}\))

= \(\frac{5}{36}\)R

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