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Q.

If the wavelength of the first line of the Balmer series of hydrogen is 6561 Ao, the wavelength of the second line of the series should be

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a

13122 Ao

b

3280 Ao

c

4860 Ao

d

2187 Ao

answer is C.

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Detailed Solution

The wavelength of spectral line in Balmer series is given by 1λ=R 122-1n2For first line of Balmer series, n = 3⇒1λ1=R 122-132=5R36; For second line n = 4. ⇒1λ2=R 122-142=3R16∴λ2λ1=2027⇒λ1=2027×6561=4860 Ao
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