Dual Nature of Radiation and Matter - Result Question 72

76. Energy levels A,B,C of a certain atom correspond to increasing values of energy i.e., EA<EB<EC If λ1,λ2,λ3 are the wavelengths of radiation corresponding to the transitions C to B,B to A and C to A respectively, which of the following relation is correct?

[1990, 2005]

(a) λ3=λ1+λ2

(b) λ3=λ1λ2λ1+λ2

(c) λ1+λ2+λ3=0

(d) λ32=λ12+λ22

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Answer:

Correct Answer: 76. (b)

Solution:

  1. (b) (E2E1)=hv=hcλ

hcλ1=(ECEB),hcλ2=(EBEA)

and hcλ3=(ECEA)

Now,

(ECEA)=(ECEB)+(EBEA)

or, hcλ3=hcλ1+hcλ2 or 1λ3=1λ1+1λ2

1λ3=λ1+λ2λ1λ2 or λ3=λ1λ2λ1+λ2



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