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when an electron jumps from a level \mathrm{n=4} to \mathrm{n=1}, the momentum of the recoiled hydrogen atom will be (Planks constant = 6.6 \times 10^{-34} \mathrm{~J}-\mathrm{s}, Rydberg's constant = 10^7 \mathrm{~m} )

Option: 1

6.2 \times 10^{-26} \mathrm{SI~ units}


Option: 2

6.2 \times 10^{-27} \mathrm{SI~ units}


Option: 3

6.2 \times 10^{-28} \mathrm{SI ~units}


Option: 4

6.2 \times 10^{-25} \mathrm{SI ~units}.


Answers (1)

best_answer

\begin{aligned} &\mathrm{ =\frac{h}{\lambda}=h\left(\frac{1}{\lambda}\right) }\\ &\mathrm{ =h \times R\left[\frac{1}{h^2}-\frac{1}{h+2}\right] }\\ &\mathrm{ =h \times R\left[\frac{1}{(1)^2}-\frac{1}{4 \pi}\right] }\\ &\mathrm{ =R h\left(1-\frac{1}{16}\right)=\frac{15 R h}{16}}\\ \mathrm{Now,}\\ \text { Momentum } &\mathrm{ =\frac{10^7 \times 6.6 \times 10^{-34} \times 15}{16} }\\ &\mathrm{ =6.2 \times 10^{-27} \mathrm{SI} }\\ \end{aligned}

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jitender.kumar

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