JEE MAIN - Physics (2021 - 17th March Morning Shift - No. 4)
If an electron is moving in the nth orbit of the hydrogen atom, then its velocity (vn) for the nth orbit is given as :
$${v_n} \propto {1 \over n}$$
vn $$ \propto $$ n2
vn $$ \propto $$ n
$${v_n} \propto {1 \over {{n^2}}}$$
Explanation
We know velocity of electron in nth shell of hydrogen atom is given by
$$v = {{2\pi kZ{e^2}} \over {nh}}$$
$$ \therefore $$ $$v \propto {1 \over n}$$
$$v = {{2\pi kZ{e^2}} \over {nh}}$$
$$ \therefore $$ $$v \propto {1 \over n}$$
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