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Calculate the energy assocaited with the...

Calculate the energy assocaited with the fifth orbit of H-atom, if the energy associated with the first orbit is `2.17xx10^(18)J*"atom"^(-1)`.

Text Solution

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`Eprop(1)/(n^(2)) or E=(K)/(n^(2))" "[K="constant"]`
`therefore E_(1)=(K)/(1^(2))("for "n=1) and E_(5)=(K)/(5^(2))" "("for "n=5)`
`therefore (E_(5))/(E_(1))=(1)/(25) or, E_(5)=(E_(1))/(25)=(2.17xx10^(-18))/(25)`
`=8.68xx10^(-20)J*"atom"^(-1)`
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