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For emission line of atomic hydrogen fro...

For emission line of atomic hydrogen from `n_(i)=8` to `n_(f)=n,` the plot of wave number `(barv)` against`((1)/(n^(2)))` will be (The Rydberg constant, `R_(H)` is in wave number unit) (1) Linear with slope - RH (2) Linear with intercept-RH (3) Non linear (4) Linear with slope RH

A

Non-linear

B

Linear with slope `-R_(H)`

C

Linear with slope `R_(H)`

D

Linear with intercept `R_(H)`

Text Solution

Verified by Experts

The correct Answer is:
C
According to Rydberg, `barU=R_(H)z^(2)((1)/(n_(1)^(2))-(1)/(n_(f)^(2)))`
Given `n_(i)=8, n_(f)=n" "(becaue" it is the case of emission")`
`bar(U)=R_(H)xx(1)^(2)[(1)/(n^(2))-(1)/(8^(2))]," "bar(U)=(R_(H))/(n^(2))=-(R_(H))/(64)`
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