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What is Dimensional Formula of Rydberg constant?

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Rydberg formula expressed wave number in terms of constant common to all series of lines known as  Rydberg constant.

Rydberg formula defines the  relationship of frequencies in one series of lines.Rydberg formula: N = R [1/(n+a)2 – 1/ (m + b)2] where N is wave number, R is Rydberg constant; m and n are integers, m is greater than n; and a and b are constants for particular series.

Mathematically,
Rydberg constant (R) = me4 / 8π  ε02  h2
where

m = electron mass
e = electron charge
ε0 = permittivity of free space
h = Planck’s Constant

so putting all the dimensional formulas in the above equation we get

Dimensional formula of Rydberg constant = [M1L0T0] [M0L0A1T1]4 / [(M-1L-3T4A2)2] [(M1L2T-1)2]  ]

Dimensional formula of Rydberg constant = M0L-1T0
SI unit of Rydberg constant is m-1

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Comments
  • Edmark August 10, 2014 at 2:15 pm

    I don’t know who you wrote this for but you helped a brother out.

  • Shubham April 26, 2016 at 10:52 am

    Thanxx bro. This helped me very much !!! :):)

  • Abhishek sahu January 23, 2017 at 2:46 am

    This is very helpful for me.

  • Srishti Rai July 27, 2017 at 11:13 pm

    Thanks for this help as it troubled a lot

  • Anshu vishwakarma July 3, 2018 at 3:34 am

    What is correct value of R

  • kartik devhare August 23, 2018 at 8:35 am

    thank you