Question:
The ratio of the time periods of the revolution of the electrons in the second and third excited states of hydrogen atom is
The ratio of the time periods of the revolution of the electrons in the second and third excited states of hydrogen atom is
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For the time period of electron revolution, remember the relationship with the cube of the principal quantum number.
Updated On: Jun 6, 2025
- 9 : 16
- 27 : 64
- 4 : 9
- 8 : 27
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The Correct Option is B
Solution and Explanation
The time period of the revolution of an electron in an orbit is proportional to the cube of the principal quantum number, $n^3$. Therefore, the ratio of time periods for the second and third excited states is:
$$ \frac{T_2}{T_3} = \left(\frac{n_2}{n_3}\right)^3 = \left(\frac{3}{4}\right)^3 = 27 : 64 $$
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