Answer :
Answer:
The potential energy increases if the orbital radius increases.
Explanation:
The orbital radius of the electron increases means the distance from the nucleus of the hydrogen atom increase.
The nucleus is positively charged .
The potential energy is given by P.E = -[tex]\frac{Ze^{2} }{r}[/tex]
where Z is the atomic number
r is the radius
The negative sign indicates that the electron which is revolving is bound to nucleus.
As the radius and potential energy are inversely proportional it is clear that when radius increase the potential energy become less negative which means the potential energy increases when the orbital radius increase.
In the case when the orbital radius of the electron increases so potential energy should be increased.
Potential energy:
When there is an increment in the orbital radius of the electron so it represents the distance via the nucleus of increment of the hydrogen atom. And, this nucleus should be considered as positively charged.
The equation for potential energy should be
[tex]= Ze^2\div -r[/tex]
Here
Z be the atomic number
And, r be the radius
Here the negative sign represents the electron i.e. revolving should be bounded to the nucleus. Also, the relationship between the radius and the potential energy should be inversely proportional.
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