Question

The emission lines of hydrogen contain ten lines. Find the highest orbit in which the electron is expected to be found.

Answer 1

Hint: For solving this question we need to understand the meaning of emission spectrum. When the species come back to the ground state from their excited state, then the absorbed radiation is emitted, and it is recorded. This type of spectrum is called an emission spectrum.

Complete answer:
We know that the spectrum of the bright lines, bands, or continuous radiation characteristics are determined by a specific emitting substance which is subjected to a specific kind of excitation called as a spectra. When radiation is emitted, lines are obtained, it is called emission spectra.
In simple terms, absorption spectra records the wavelengths absorbed by the material, whereas emission spectra records wavelengths emitted by materials, which have been stimulated by energy before.
Compared to the continuous visible spectrum, both emission and absorption spectra are line spectra because they only contain certain wavelengths.
In an emission spectrum there will be only a few colored bands in a dark background. But in an absorption spectrum there will be few dark bands within the continuous spectrum. The dark bands in the absorption spectrum and the colored bands in the emitted spectrum of the same element are similar.
According to the formula,
Number of lines = $\dfrac{{n(n - 1)}}{2} = \dfrac{{10}}{2}$
Therefore ,n = 5.
Hence, the highest orbit in which the electron is expected to be found is the 5th orbit.

Note:
We need to know that the Rydberg formula is a mathematical formula used to predict the wavelength of light resulting from an electron moving between energy levels of an atom.