First slide

Hydrogen spectrum

Question

A sample of hydrogen gas is excited by means of a monochromatic radiation. In the subsequent emission spectrum, 10 different wavelengths are obtained, all of which have energies greater than or equal to the energy of the absorbed radiation. The initial quantum number of the state (before absorbing radiation) is

Moderate

Solution

10 emission lines $\Rightarrow$ final state n= 5
If the initial state were not n = 4, in the emission spectrum, some lines with energies less than that of absorbed radiation would have been observed.
$∴$ Initial state n = 4.

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