Atoms & Nuclei

JEE Main level, numerical answer, medium

128 of 239

Question 128 of 239

XX different wavelength may be observed in the spectrum from a hydrogen sample if the atoms are excited to states with principal quantum number n=6n=6? The value of XX is

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Answer: 15

Use the concept of hydrogen like atom spectrum when the atoms are excited to a sixth excited state, to find different wavelengths observed in the spectrum.
The total possible transitions are,
n(n−1)2=6×52=15\dfrac{n\left(n-1\right)}{2}=\dfrac{6\times 5}{2}=15
Here nn is the principal quantum number.

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