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Question

Electron in hydrogen akin first Jumps from third excited state to second excited state and then from second excited to the first excited state The ratio of the wavelengths λ1:λ2 emitted in the two cases is

A
75
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B
2720
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C
275
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D
207
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Solution

The correct option is D 207
Here wave length λ1 for wave lengthλ2
n14 and n2=3 n1=3 n2=2
hcλ=13.6⎢ ⎢ ⎢ ⎢1n221n21⎥ ⎥ ⎥ ⎥
so for λ1
hcλ1=13.6[1h2132]=13.6[7144](1)
for λ2=13.6[132122]
=13.6[536](2)
λ1λ2=207
(1)
(2)
λ1λ2=13.6[7144]13.6[536]=207

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