1.

When a photon is emitted from an atom , the atom recils The kinetic energy of recoils and the energy of the photon come from the difference in energy between the state involved in the transition suppose a hydrogen atom change its state from n = 3 to n = 2 calculate the fractional change in the wavelength of light emitted , due to the recoil

Answer»


Solution :Difference in energy in the transition from
`n=3` to `n=2` is `1.89 EV`.
LET recoil energy be E.
Then `m_0[V_2^2 -V_3^2]+E`
`=1.89 eV`
`=1.89 xx 1.6 xx 10^-19J`
:' `1/2 xx 9.1 xx 10^-31[(2187/2)^2-(2187/3)^2]+E`
`=3.024 xx 10^-19J`
implies `E=10^-9`


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