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  • Consider a  -like atom of nuclear mass and an electron of mass <img alt="m" src="/latex-image/

Consider a \mathrm{H} -like atom of nuclear mass Mand an electron of mass m rotating in its nth orbit of radius r_n. Which of the following represents the expression for angular momentum?

Option: 1

(M+m) \omega^2 r_n=\frac{n h}{2 \pi}


Option: 2

\frac{M m \omega}{M+m} r_n^2=\frac{n h}{2 \pi}


Option: 3

m \omega r_n^2=\frac{n h}{2 \pi}


Option: 4

M \omega r_n^2=\frac{n h}{2 \pi}


Answers (1)

best_answer

r_1+r_2=r_n

L=M \omega r_1^2+m \omega r_2^2=\frac{n h}{2 \pi}

r_1=\frac{m r_n}{m+M}                    \quad r_2=\frac{M r_n}{m+M}

\frac{M m}{M+m} \omega r_n^2=\frac{n h}{2 \pi}

Posted by

Rishi

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