If the series limit frequency of Balmer series is ν B , then the series limit frequency of the Brackett series is

Step-by-step solution

As we know, wavelength of the light emitted during transition is given by, 1 λ = R 1 n 1 2 - 1 n 2 2 . Frequency can be written as, ν = c R 1 n 1 2 - 1 n 2 2 Now, for Balmer series 2   to   ∞ , ν B = c R 1 2 2 - 1 ∞ 2       . . . . E q 1 For Brackett series we can write 4   to   ∞ , ν ' = c R 1 4 2 - 1 ∞ 2       . . . . E q 2 From equation 2 and equation 1, we get ν ' ν B = 1 4 ⇒ ν ' = &#95