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Question

Physics Question on Atoms

The wavelength of the first line of Balmer series is $6563,??. The Rydberg constant for hydrogen is about

A

1.09×107 per m 1.09\times 10^{7}\,per\,m

B

1.09×108 per m 1.09\times 10^{8}\,per\,m

C

1.09×109 per m 1.09\times 10^{9}\,per\,m

D

1.09×105 per m1.09\times 10^{5}\,per\,m

Answer

1.09×107 per m 1.09\times 10^{7}\,per\,m

Explanation

Solution

1λ=R[14−19]=5R36\frac{1}{\lambda}=R\left[\frac{1}{4}-\frac{1}{9}\right]=\frac{5 R}{36} ∴R=365λ=365×6563×10−10\therefore R =\frac{36}{5 \lambda}=\frac{36}{5 \times 6563 \times 10^{-10}} =1.09×107m−1=1.09 \times 10^{7} m ^{-1}