Question

In a Rydberg equation, a spectral line corresponds to n1 = 3and n2 = 5. To which spectral series and to what region of the electromagnetic spectrum will this line fall?

Answer 1

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Answer 2

Answer:

The series to which it belongs is the Paschen series and it will fall on the infrared spectrum in electromagnetic radiation.

Explanation:

As we all know that the entire spectrum consists of five series of lines, each being named after its discovery.

They are (i) Laymen series(ii) Balmer series (iii) Paschen series (iv) Bracket series and (v) Pfund series.

The Rydberg equation gives the wavelength of the light emitted when the electron in hydrogen atoms jumps from one energy level to another. So the equation is wavenumber (v)= $\frac{1}{wavelength}$ =$R(\frac{1}{n_1^2} -\frac{1}{n_2^2} )$

where R is the Rydberg constant =109667,$n_1$ and$n_2$ are integers such that  $n_2$ is greater than$n_1$.

In the Laymen series,  $n_1 =1 and n_2 =2,3,4,5.....$ it belongs to the Ultraviolet region.

In the Balmer series, $n_1=2 and n_2=3,4,5,6...$ this line belongs to a visible region.

The Paschen series, $n_1=3 and n_2=4,5,6,7.....$which belongs to the Infrared region

In the Bracket series, $n_1=4 and n_2=5,6,7,8...$ and the Pfund series, $n_1= 5 andn_2=6,7,8,9....$. Both these series belong to the Infrared region.

In this question, it is given that a spectral line corresponds to $n_1 =3$ and $n_2 =5$. So this spectral line falls in the Paschen series and belongs to the infrared region.