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What is the wavelength of light for the ...

What is the wavelength of light for the least energetic photon emitted in the Lyman series of the hydrogen spectrum?

A

150nm

B

122nm

C

102nm

D

82nm

Text Solution

Verified by Experts

The correct Answer is:
B
Least Energetic member is `1^(st)` line `n_(1)= 1, n_(2)=1`
`(1)/(lamda) = R ((1)/(n_(1)^(2))- (1)/(n_(2)^(2))) rArr (1)/(lamda) = 1.097 xx 10^(7) ((1)/(1^(2))-(1)/(2))`
`lamda= (4)/(3 xx 1.097 xx 10^(7))= 112nm`
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