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Calculate the frequency of radiation, if...

Calculate the frequency of radiation, if an electron in hydrogen atom jumps from `n_2 = 3" to " n_1 = 2[R = 1.1 xx 10^7 m^(-1)]`

Text Solution

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In an hydrogen atom when an electron jumps from orbit `n_1 " to " n_2` frequency of radiator is given by
`v = cR [ 1/n_1^2 - 1/n_2^2]`
where, c = velocity of light
where, c = velocity of light and R = Rydberg.s constant.
For transitions from `n_2 = 3 " to " n_1 = 2 `,
We know that,
Frequency, `v = (3 xx 10^8) xx (1.1 xx 10^7) [ 1/2^2 - 1/3^2]`
`v = (3.3 xx 10^15) [(9-4)/36]`
`rArr v = 3.3 xx 10^15 xx 5/36`
`rArr v = 4.5 xx 10^14 Hz`
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