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The wavelength (in cm) of second line in...

The wavelength (in cm) of second line in the Lyman series of hydrogen atomic spectrum is (Rydberg constant `=" R cm"^(-1)`)

A

`(8 R)/(9)`

B

`(9)/(8R)`

C

`(4)/(3R)`

D

`(3 R)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
B
`bar v =(1)/(lamda) =R_(H) [(1)/(n_(1)^(2))-(1)/(n_(2)^(2))]`
For second line in Lyman series, `n_(2)=3 therefore (1)/(lamda) = R_(H) [(1)/(1^(2))-(1)/(3^(2))] =R_(H) [(1)/(1)-(1)/(9)]=(8R_(H))/(9) therefore lamda =(9)/(8R_(H))`
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