1.

The frequency of the radiation emitted when the electron falls from n = 4 to n = 1 in a hydrogen atom will be (Given ionization energy of H = 2.18 xx 10^(-18) J "atom"^(-1) and h = 6.625 xx 10^(-34) Js)

Answer»

`1.54 XX 10^(15) s^(-1)`
`1.03 xx 10^(15) s^(-1)`
`3.08 xx 10^(15) s^(-1)`
`2.0 xx 10^(15) s^(-1)`

SOLUTION :`IE. = E_(oo) - E_(1) = 0 - E_(1) = 2.18 xx 10^(-18) J "atom"^(-1)`
Thus, `E_(n) = - (2.18 xx 10^(-18))/(n^(2)) J "atom"^(-1)`
`DELTA E = E_(4) - E__(1) = -2.18 xx 10^(-18) ((1)/(4^(2)) - (1)/(1^(2)))`
`= 2.044 xx 10^(-18) J "atom"^(-1)`
`Delta E = hv`
or `v = (Delta E)/(h) = (2.044 xx 10^(-18)j)/(6.625 xx 10^(-34)JS) = 3.085 xx 10^(15) s^(-1)`


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