The value of
for the Balmer series in the Balmer-Rydberg equation is
.
Further Explanation:
The Rydberg’s Equation is the equation that gives the mathematical relationship between the different spectral lines. This relation states that the wavenumber of the successive spectral lines are integral multiples of one another.
The expression for the Rydberg’s formula is given as:
![\boxed{\frac{1}{\lambda }=R{Z^2}\left({\frac{1}{{{m^2}}}-\frac{1}{{{n^2}}}}\right)}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cfrac%7B1%7D%7B%5Clambda%20%7D%3DR%7BZ%5E2%7D%5Cleft%28%7B%5Cfrac%7B1%7D%7B%7B%7Bm%5E2%7D%7D%7D-%5Cfrac%7B1%7D%7B%7B%7Bn%5E2%7D%7D%7D%7D%5Cright%29%7D)
Here,
is the wavelength of the photon,
is the Rydberg’s constant,
is the atomic number of the element and
are the integers representing various spectral lines.
The spectrum of a hydrogen atom consists of the five different spectral lines. These spectral lines are named as:
- Lyman series
.
- Balmer series
.
- Paschen series
.
- Bracket series
.
- Pfund series
.
The variable
in the Rydberg’s formula represent the start of the spectral line and the variable
represents the end of the spectrum.
<u>If the emission starts from the Balmer series and then goes further ahead to the different spectral lines, the value of
will be
and the value of
will vary from
.
</u>
Therefore, the value of
in the Rydberg’s formula for the Balmer series is
.
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Answer Details:
Grade: High school
Subject: Physics
Chapter: Hydrogen Spectrum
Keywords:
Lyman, Balmer, series, Rydberg, constant, wavelength, hydrogen spectrum, spectral line, m=2, Rydberg-Balmer equation,