Which of the following relations is correct b | vedclass

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(C) According to Bohr's theory,the radius of the $n^{th}$ orbit is given by $r_n \propto n^2$ and the velocity of the electron in the $n^{th}$ orbit i

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$n^3$

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(C) According to Bohr's theory,the radius of the $n^{th}$ orbit is given by $r_n \propto n^2$ and the velocity of the electron in the $n^{th}$ orbit is given by $v_n \propto \frac{1}{n}$.The time period $(T)$ is defined as the ratio of the circumference of the orbit to the velocity of the electron:$T = \frac{2\pi r_n}{v_n}$Substituting the proportionalities:$T \propto \frac{n^2}{1/n}$$T \propto n^3$Therefore,the correct relation is $T \propto n^3$.

Which of the following relations is correct between the time period $(T)$ and the number of orbits $(n)$ for an electron revolving in a Bohr orbit?

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