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 ` r = (36)/(5 lambda) = (36)/(5 xx 6563 xx 10^(-10)) m ^(-1)`
`= (36000)/(5 xx 6563) xx 10^(7) m^(-1) = 1.097 xx 10^(7) m^(-1)`