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Question

Calculate the wavelength of the first line in the Balmer series of hydrogen spectrum.


A

486 nm

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B

911.7 ˚A

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C

656.5 nm

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D

434 nm

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Solution

The correct option is C

656.5 nm


From line spectrum of hydrogen, we know that
¯ν=RH[1n211n22]
=109677[1(2)21(3)2]cm1

=109677×536cm1
=1523.9cm1
Or λ=1¯ν=115,232.9cm=6.565×101cm=656.5nm


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