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  • In an atom, two electron move arrow the nucleus in circular orbit of radii and <img alt="\mathrm{4R}"

In an atom, two electron move arrow the nucleus in circular orbit of radii \mathrm{R} and \mathrm{4R}. The ratio of the time taken by them to complete one revolution is

Option: 1

1: 4


Option: 2

4: 1


Option: 3

1: 8


Option: 4

8: 1


Answers (1)

best_answer

\mathrm{r_1=R }
\mathrm{r_2=4 R }

\mathrm{ r \propto n^2 }

\mathrm{ \Rightarrow n_2=2 n_1 }.
\mathrm{ v \alpha\, r / n \; \Rightarrow \; v_1=2 v_2 }.

\mathrm{ \text{Time period} =\frac{2 \pi r}{v} }.
\mathrm{ \frac{T_1}{T_2}-\left(\frac{r_1}{r_2}\right)\left(\frac{v_2}{v_1}\right)=\frac{1}{4} \times \frac{1}{2}=1: 8 }
 

Posted by

sudhir kumar

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