CBSE Class 12-science Answered
consider a hypothesis H-like atom, the wavelength in Amstrong for the spectral lines for the transition from n=p to n=1 is given as
wavelength =1500p^2/p^2 -1 where p>1
find the minimum and maximum wavelength
Asked by Akshatkuma2004 | 04 Jul, 2021, 16:04: PM
Wavelength λ is given as
λ = 1500 ×
, where p > 1
![begin mathsize 14px style fraction numerator p squared over denominator p squared minus 1 end fraction end style](https://images.topperlearning.com/topper/tinymce/cache/fc2d7ee162c22a3a44ab3ec8010af3d2.png)
Units for the constant 1500 is not known .
we get maximum wavelength when p =2 , hence
= (4/3) and λ = 2000
![begin mathsize 14px style fraction numerator p squared over denominator p squared minus 1 end fraction end style](https://images.topperlearning.com/topper/tinymce/cache/fc2d7ee162c22a3a44ab3ec8010af3d2.png)
Minimum wavelegth is obtained when p >> 1 , so that
≈ 1 and λ = 1500
![begin mathsize 14px style fraction numerator p squared over denominator p squared minus 1 end fraction end style](https://images.topperlearning.com/topper/tinymce/cache/fc2d7ee162c22a3a44ab3ec8010af3d2.png)
Answered by Thiyagarajan K | 04 Jul, 2021, 17:30: PM
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