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Monochromatic radiation of wavelength la...

Monochromatic radiation of wavelength `lambda` is incident on a hydrogen sample in ground state. Hydrogen atoms obsorb a fraction of light and subsequently emit radiation of ten different wavelengths. Find the value of `lambda`.

A

`95 nm`

B

`103 nm`

C

`273 nm`

D

`88 nm`

Text Solution

Verified by Experts

The correct Answer is:
A
No of spectral lines
`(n(n-1))/(2) =10implies n^(2)-n-20=0 implies n=5, n= -4`
`Delta=13.6 [1-1/25]=13.056, lambda=(hc)/(Delta E)=95 nm`
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