What is the ratio of the series limits of the P fund series to that of the Lyman series in the emission spectrum of hydrogen ?

Options

A. a) `5:2`
B. b) `10:3`
C. c) `525:300`
D. d) `25:1`

Answer

D

Explanation

Series limit is the line of shortest wavelength in a series
`therefore " for lyman series , " 1/lamda = R [ 1/1^2 - 1/oo] = R/1`
`therefore lamda_L = 1/R`
and for Pfund series , `1/lamda = R [ 1/5^2 - 1/oo] = (R )/(25)`
`therefore lamda_ P = (25)/(R )`
`therefore (lamda_P)/(lamda_L) = (25)/(R) xx R/1 = 25/1`