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A free hydrogen atom after absorbing a p...

A free hydrogen atom after absorbing a photon of wavelength `lambda_(a)` gets excited from state n = 1 to n = 4. Immediately after electron jumps to n = m state by emitting a photon of wavelength `lambda_(e )`. Let change in momentum of atom due to the absorption and the emission are `Delta P_(a)` and `Delta P_(e)` respectively. If `lambda_(a)//lambda_(e )= 1//5`. Which of the following is correct

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