CBSE Class 11-science Answered
what is the energy at n=9
Asked by badalsharma9929 | 13 Jun, 2018, 08:43: AM
Energy of electron in n= 9 energy state of hydrogen atom is,
![straight E equals hν
space straight E equals space hc over straight lambda space space space.......... open parentheses 1 close parentheses
According space to space Rydberg apostrophe straight s space formula semicolon
1 over straight lambda space equals space straight R open parentheses straight Z squared over straight n squared close parentheses space space space space.......... open parentheses 2 close parentheses
Where comma
straight R space equals space 1.097 cross times 10 to the power of 7 space straight m to the power of negative 1 end exponent
straight h equals space 6.626 cross times 10 to the power of negative 34 end exponent space Js
straight c equals space 3 cross times 10 to the power of 8 space straight m divided by sec
straight Z space equals space Atomic space number space of space Hydrogen
space space space space equals space 1
From space eq space open parentheses 1 close parentheses space and space open parentheses 2 close parentheses
straight E space equals space hcR open parentheses straight Z squared over straight n squared close parentheses space
space space space space equals space 6.626 cross times 10 to the power of negative 34 end exponent cross times 1.097 cross times 10 to the power of 7 cross times 3 cross times 10 to the power of 8 cross times open parentheses 1 squared over 9 squared close parentheses
space space space space space equals 2.18 cross times 10 to the power of negative 18 end exponent space cross times space open parentheses 1 over 81 close parentheses
space space space space space equals space 2.69 cross times 10 to the power of negative 20 space straight J end exponent](https://images.topperlearning.com/topper/tinymce/cache/6e2429339d7c7e7b3df3a03801b6859f.png)
Energy is 2.69×10-20 J.
Answered by Varsha | 13 Jun, 2018, 16:53: PM
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