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NEET 2005 (AIPMT) · Energy of the Electron & Energy Levels

Energy of the Electron & Energy Levels question from NEET 2005 (AIPMT)

Q53NEET 2005 · AIPMTMedium

Energy of the Electron & Energy Levels

Energy levels A, B and C of a certain atom corresponding to increasing values of energy i.e. EA < EB < EC. If $\lambda$ 1, $\lambda$ 2 and $\lambda$ 3 are wavelengths of radioations corresponding to transitions C to B, B to A and C to A respectively, which of the following relations is correct?

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Answer: (b)

Energy adds: $E_C - E_A = (E_C - E_B) + (E_B - E_A)$ .
$\frac{hc}{\lambda_3} = \frac{hc}{\lambda_1} + \frac{hc}{\lambda_2} \Rightarrow \frac{1}{\lambda_3} = \frac{1}{\lambda_1} + \frac{1}{\lambda_2}$
$\lambda_3 = \frac{\lambda_1 \lambda_2}{\lambda_1 + \lambda_2}$
So the answer is (b).

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