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Calculate the highest frequency of the e...

Calculate the highest frequency of the emitted photon in the Paschen series of spectral lines of the hydrogen atom.

A

`3.7 xx 10^(14)Hz`

B

`9.1 xx 10^(15)Hz`

C

`10.23 xx 10^(14)Hz`

D

`29.7 xx 10^(15)Hz`

Text Solution

Verified by Experts

The correct Answer is:
A
`(1)/(lamda) = R ((1)/(n_(1)^(2))- (1)/(n_(2)^(2)))`
`rArr (f)/(c)= R ((1)/(n_(1)^(2))- (1)/(n_(2)^(2))) rArr f= Rc ((1)/(n_(1)^(2))- (1)/(n_(2)^(2)))`
For Paschen series and highest frequency
`n_(1)= 3, n_(2) oo`
`therefore f_("max") = (1.097 xx 10^(7) xx 3 xx 10^(8))/(9)`
`rArr f_("max") = 3.7 xx 10^(14)Hz`
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