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Energy levels A , B and C of a certain atom correspond to increasing values of energy, i.e. E A < E B < E C . If λ 1 , λ 2 and λ 3 are the wavelengths of radiations corresponding to transitions C to B , B to A and C to A respectively, which of the following relations is correct?

Options

  1. A&lambda; 3 = &lambda; 1 + &lambda; 2
  2. Bλ 3 = λ 1 λ 2 λ 1 + λ 2
  3. C&#955; 3 = &#955; 1 &#955; 2
  4. D&#955; 3 = &#955; 1 2 + &#955; 2 2

Correct answer

B. λ 3 = λ 1 λ 2 λ 1 + λ 2

Step-by-step solution

hc &#955; 1 = E C - E B hc &#955; 2 = E B - E A hc &#955; 3 = E C - E A &#8658;&#160;&#160;&#160; 1 &#955; 3 = 1 &#955; 1 + 1 &#955; 2

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