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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 -

    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 -

    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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