A monochromatic radiation of wavelength is incident on a hydrogen sample in ground state. The sample subsequently emits radiation of six different wavelengths, then the value of is [Use ch =1242 eV - m ]

Step-by-step solution

Number of line emitted =6, n_i=1, n_f=4 aligned n(n-1) 2 & =6 n^2-n-12 & =0 (n-4)(n+3) & =0 n=4, n & =-3 (Not possible) aligned Using, 1 =R ( 1 n_i^2 - 1 n_f^2 ) 1 =R ( 1 1^2 - 1 4^2 )=R 15 16 where, R=1.09 10^7 ~m ⁻¹ = 16 15 1 1.09 10^7 =97.4 ~nm