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Question: The first member of the Paschen series in hydrogen spectrum is of wavelength 18,800 Å. The short wav...

The first member of the Paschen series in hydrogen spectrum is of wavelength 18,800 Å. The short wavelength limit of Paschen series is

A

1215 Å

B

6560 Å

C

8225 Å

D

12850 Å

Answer

8225 Å

Explanation

Solution

First member of Paschen series mean it's λ1447Rmax{\lambda\frac{144}{7R}}_{\max}

Short wavelength of Paschen series means λ9Rmin{\lambda\frac{9}{R}}_{\min}

Hence λmaxλmin=167\frac{\lambda_{\max}}{\lambda_{\min} = \frac{16}{7}}

λ716716maxmin{\lambda{\frac{7}{16}\frac{7}{16}}_{\max}}_{\min}