1.

The time period of revolution of an electron in its ground state orbit in a hydrogen atom is 1.6xx10^(-16) s. The frequency of the electron in its first excited state (in s^(-1) ) is :

Answer»

`7.8xx10^(14)`
`7.8xx10^(16)`
`3.7xx10^(14)`
`3.7xx10^(16)`

Solution :Time period of electron in ORBIT of atom `Tprop(n^(3))/(z^(2))`
Suppose, time period is `T_(1)` in ground state and `T_(2)` in first excited state.
`:.n_(1)=1` and `T_(1)=1.6xx10^(-16)s`
and `n_(2)=2` and `T_(2)=?`
`:(T_(2))/(T_(1))=((n_(2))/(n_(1)))^(3)""` (z=1 same )
`:.T_(2)=T_(1)XX((2)/(1))^(3)`
`=1.6xx10^(16)xx8`
`=12.8xx10^(-16)`
`:.` FREQUENCY `v_(2)=(1)/(T_(2))=(1)/(12.8xx10^(-16))`
`:.v_(2)=0.0781xx10^(16)`
`:.v_(2)~~7.8xx10^(14)s^(-1)`


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