Energy levels, A, B, C, of a certain atom correspond to increasing values of energy i.e., < < . If , , are the wave lengths of radiations corresponding to the transition from C to B, B to A and C to A respectively, which of the following statements is correct ?
(a)
(b)
(c)
(d)
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Answer:
b) λ3 = λ1λ2/ λ1 + λ2
Explanation:
Total number of atoms = 3 = A B and C (Given)
Increasing volume of energy - E_A < E_B < E_C (Given)
Wavelengths of radiations - λ1 λ2 and λ3 (Given)
Let the energy in A, B and C state be EA, EB and EC
Therefore,
= ( Ec - Eb) + ( Eb - Ea ) = ( Ec - Ea) or
= hc/ λ1 + hc/ λ2 = hc/ λ3
= λ3 = λ1λ2/ λ1 + λ2
Therefore, during the transition from C to B, B to A and C to A respectively, the correct statement will be λ3 = λ1λ2/ λ1 + λ2.
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