Question
The ratio of the wavelengths of the light absorbed by a Hydrogen atom when it undergoes n =2 n =3 and n =4 n =6 transitions, respectively, is
The ratio of the wavelengths of the light absorbed by a Hydrogen atom when it undergoes n =2 n =3 and n =4 n =6 transitions, respectively, is
D. 1 4
1 = RZ ^2 ( 1 n _1^2 - 1 n _2^2 ) For 2 3 1 _1 = R (1)^2 ( 1 2^2 - 1 3^2 ) (1) For 4 6 1 _2 = R (1)^2 ( 1 4^2 - 1 6^2 ) (2) Divide (1) & (2) aligned & _2 _1 = 1 2^2 - 1 3^2 1 4^2 - 1 6^2 \\ & _2 _1 = 4 1 \\ & _1 _2 = 1 4 aligned
Related: Chemistry — Structure of Atom · All PYQ Banks