Class 11 Chemistry - Chapter Structure of Atom NCERT Solutions | What transition in the hydrogen spectrum

Welcome to the NCERT Solutions for Class 11th Chemistry - Chapter Structure of Atom. This page offers a step-by-step solution to the specific question from Excercise ".$ex_no." , Question 33: what transition in the hydrogen spectrum would hav....
Question 33

What transition in the hydrogen spectrum would have the same wavelength as the Balmer transition n = 4 to n = 2 of He+ spectrum?

Answer

For an atom = 1/λ = RHZ(1/n12-1/n22)

For He+ spectrum Z = 2,  n2=4,  n1= 2

Therefore = 1/λ = Rx 4(1/22-1/42) = 3RH/4

For hydrogen spectrum = 3RH/4,  Z = 1

Therefore = 1/λ = RH X 1(1/n12-1/n22)

Or

R(1/n12-1/n22) = 3RH/4

Or

1/n12-1/n22  = 3/4

Which can be so for n1=1 & n2 = 2, i.e the transition is from n = 2 to n=1

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