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Based on the equation , which of the following conclusions is not correct?

  1. A
    The negative sign means the energy of an electron bound to the nucleus is lower than it would be at infinite distance.
  2. B
    Larger the value of , the larger is the orbit radius.
  3. C
    The equation can be used to calculate the change in energy when the electron changes orbit.
  4. D
    For , the electron has a more negative energy than for , which means the electron is more loosely bound in the smallest allowed orbit.

Solution & Step-by-step Explanation

Statement (4) is incorrect. A more negative energy value (as seen for ) indicates a deeper potential well, meaning the electron is more strongly bound to the nucleus. As increases, energy becomes less negative (closer to zero), and the electron becomes more loosely bound.

Practice this question

Try it yourself before checking the explanation above.

Based on the equation , which of the following conclusions is not correct?
A
The negative sign means the energy of an electron bound to the nucleus is lower than it would be at infinite distance.
B
Larger the value of , the larger is the orbit radius.
C
The equation can be used to calculate the change in energy when the electron changes orbit.
D
For , the electron has a more negative energy than for , which means the electron is more loosely bound in the smallest allowed orbit.

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