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A hydrogen atom emits a photon corresponding to an electron transition from `n = 5` to `n = 1`. The recoil speed of hydrogen atom is almost (mass of proton `~~1.6 xx 10^(-27) kg)`.A. `10 ms^(-1)`B. `2 xx 10^(-2) ms^(-1)`C. `4 ms^(-1)`D. `8 xx 10^(2) ms^(-1)`

Answer» Correct Answer - C
The hydrogen atom before the transition was at rest. Therefore from conservation of momentum.
`p_((H-atom))=p_("photon") = (E_("radiated"))/(c) = (13.6((1)/(n_(1)^(2))-(1)/(n_(2)^(2)))eV)/(c)`
`1.6 xx10^(-27)xxv =(13.6((1)/(1^(2))-(1)/(5^(2)))xx1.6 xx10^(-19))/(3xx10^(8))`
`rArrv = 4.352m//s ~~4 m//sec`


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