Posted by **Kat** on Sunday, April 4, 2010 at 10:46am.

In a hydrogen atom, if the radius of the orbit of the electron is doubled, then its energy will ...

>> Increase by a factor of 2??

- Physics -
**drwls**, Sunday, April 4, 2010 at 12:26pm
The radius of a Bohr orbit increases with the square of the quantum number, n. So the principal quantum number would have to increase by a factor of sqrt2. This will not be possible since the quantum number must remain an integer.

Your teacher may not be aware of this.

In general, the total energy of a Bohr orbit becomes larger (less nagative) when the radius of the orbit increases. A totally detached electron (infinite radius) has an energy of zero.

- Physics -
**Kat**, Sunday, April 4, 2010 at 10:51pm
Actually "Actually, it is not possible for the radius of the orbit to double"

is one of the options, so is that right for the reason you stated?

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