Which one of the following about an electron | vedclass

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(D) For a hydrogen atom,the total energy $(E)$ of an electron in an orbital is constant and depends only on the principal quantum number $(n)$.$E = -K

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The total energy of the electron is maximum when it is at a distance $a_0$ from the nucleus

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(D) For a hydrogen atom,the total energy $(E)$ of an electron in an orbital is constant and depends only on the principal quantum number $(n)$.$E = -K.E = \frac{P.E}{2}$,which implies $|P.E| = 2 	imes |K.E|$. Thus,option $C$ is correct.The probability density for a $1s$ orbital is given by $\psi^2 = \frac{1}{\pi a_0^3} e^{-2r/a_0}$. This value is maximum at $r = 0$ (the nucleus),so option $B$ is correct.The electron can be found at any distance $r$ from the nucleus,including $2a_0$,although the probability density decreases exponentially with distance. Thus,option $A$ is correct.The total energy of the electron in a specific orbital is constant and does not change with its instantaneous distance from the nucleus. Therefore,the statement that the total energy is maximum at $a_0$ is incorrect.

Which one of the following about an electron occupying the $1s$ orbital in a hydrogen atom is incorrect? (The Bohr radius is represented by $a_0$)

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