For wavelength of visible radiation of Hydrogen spectrum, Balmer gave an equation as = xm^2 m^2-4 , where m is the integer value. The value of x in terms of Rydberg's constant R is

Step-by-step solution

The Rydberg formula for the Balmer series of the hydrogen spectrum is given by 1 = R ( 1 2^2 - 1 m^2 ) where m is an integer greater than 2 . Simplifying the expression, we get 1 = R ( m^2 - 4 4m^2 ) = 4m^2 R(m^2 - 4) = ( 4 R )m^2 m^2 - 4 Comparing this with the given equation = xm^2 m^2 - 4 , we get x = 4 R Answer: 4 R