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Question: The ratio of minimum wavelength of Lyman and Balmer series will be-...

The ratio of minimum wavelength of Lyman and Balmer series will be-

A

1.25

B

0.25

C

5

D

10

Answer

0.25

Explanation

Solution

For lyman;

1λmin\frac{1}{\lambda_{\min}} = R[111]\left\lbrack \frac{1}{1} - \frac{1}{\infty} \right\rbrack = R

lmin = 1R\frac{1}{R}

For Balmer;

1λmin\frac{1}{\lambda_{\min}} = R(1221)\left( \frac{1}{2^{2}} - \frac{1}{\infty} \right) =R4\frac{R}{4}

lmin = 4R\frac{4}{R}

\(λLymanmin(λBalmermin\frac{({\lambda Lyman}_{\min}}{({\lambda Balmer}_{\min}} = 0.25