Which of the plots shown in the figure repres | vedclass

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(B) The velocity of an electron in the $n^{	ext{th}}$ orbit of a hydrogen atom is given by the formula:$v_n = \frac{2 \pi K Z e^2}{n h}$From this exp

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$B$

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(B) The velocity of an electron in the $n^{	ext{th}}$ orbit of a hydrogen atom is given by the formula:$v_n = \frac{2 \pi K Z e^2}{n h}$From this expression,we can see that the velocity is inversely proportional to the principal quantum number $n$:$v_n \propto \frac{1}{n}$This relationship represents a rectangular hyperbola where the velocity decreases as the principal quantum number $n$ increases.Looking at the provided figure,plot $B$ represents a curve where the value of $v$ decreases as $n$ increases,which matches the inverse relationship $v \propto 1/n$. Therefore,plot $B$ is the correct representation.

Which of the plots shown in the figure represents speed $(v)$ of the electron in a hydrogen atom as a function of the principal quantum number $(n)$?

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