The wavelength of the first line of Balmer series is `6563 Å`. The Rydberg's constant is

Options

A. `1.09 xx 10^(5)` `m^(-1)`
B. `1.09 xx 10^(6)` `m^(-1)`
C. `1.097 xx 10^(7)` `m^(-1)`
D. `1.09 xx 10^(8)` `m^(-1)`

Answer

C

Explanation

`(1)/(lambda) = R[(1)/(2^(2))-(1)/(3^(2))]`
or `(1)/(lambda) = R[(1)/(4)-(1)/(9)]` or `(1)/(lambda) = R(5)/(36)`
or `R = (36)/(5R) = (36)/(5xx6563 xx10^(-10))m^(-1)`
`= (36000)/(5xx6563) xx 10^(7)m^(-1)`
`= 1.097 xx 10^(7)m^(-1)`