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Question: Which of the transitions in hydrogen atom emits a photon of lowest frequency (n = quantum number)...

Which of the transitions in hydrogen atom emits a photon of lowest frequency (n = quantum number)

A

n = 2 to n = 1

B

n = 4 to n = 3

C

n = 3 to n = 1

D

n = 4 to n = 2

Answer

n = 4 to n = 3

Explanation

Solution

From diagram

E1=13.6(3.4)=10.2eVE_{1} = - 13.6 - ( - 3.4) = - 10.2eV

E2=13.6(1.51)=12.09eVE_{2} = - 13.6 - ( - 1.51) = - 12.09eV

E3=1.51(0.85)=0.66eVE_{3} = - 1.51 - ( - 0.85) = - 0.66eV

E4=3.4(1.51)=1.89eVE_{4} = - 3.4 - ( - 1.51) = - 1.89eV

E3E_{3} is least i.e. frequency is lowest.