what is the energy at n=9

Asked by badalsharma9929 | 13th Jun, 2018, 08:43: AM

Expert Answer:

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
 
Energy is 2.69×10-20 J.

Answered by Varsha | 13th Jun, 2018, 04:53: PM

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