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AIPMT PRELIMS2005Physics-Atomic Physics

AIPMT PRELIMS 2005 Physics Energy Levels and Transitions MCQ Question

Type: MCQ-conceptual-Hard-Class 12

Energy levels A, B and C of a certain atom correspond to increasing values of energy i.e., EA<EB<ECE_A < E_B < E_C. If λ1,λ2\lambda_1, \lambda_2 and λ3\lambda_3 are wavelengths of radiations corresponding to transitions C to B, B to A and C to A respectively, which of the following relations is correct?

A

λ3=λ1+λ2\lambda_3 = \lambda_1 + \lambda_2

B

λ3=(λ1λ2)/(λ1+λ2)\lambda_3 = (\lambda_1 \lambda_2)/(\lambda_1 + \lambda_2)

C

λ1+λ2+λ3=0\lambda_1 + \lambda_2 + \lambda_3 = 0

D

λ3=λ1λ2\lambda_3 = \lambda_1 \lambda_2

Correct Answer

Option B

Detailed Explanation

The relation between wavelengths for transitions in an atom is given by the reciprocal of the wavelengths being additive: 1λ3=1λ1+1λ2\frac{1}{\lambda_3} = \frac{1}{\lambda_1} + \frac{1}{\lambda_2}. This corresponds to option B.

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