Question

Some energy levels of a molecule are shown in the figure with their wavelengths of transitions. Then:

• A. \(λ_3 > λ_2, λ_1 = 2λ_2 \)
• B. \(λ_3 > λ_2, λ_1 = 4λ_2 \)
• C. \(λ_1 > λ_2, λ_2 = 2λ_3\)
• D. \(λ_2 > λ_1, λ_2 = 2λ_3\)

Answer 1

The Correct Option is D

The energy of a photon is given by \(E = \frac{hc}{\lambda}\). Therefore, \(\lambda \propto \frac{1}{E}\).

From the diagram:

\(\lambda_1\) corresponds to energy difference \(E\)

\(\lambda_2\) corresponds to energy difference \(\frac{E}{2}\)

\(\lambda_3\) corresponds to energy difference \(\frac{E}{2}\)

Thus \(\lambda_2 = 2\lambda_3\) and \(\lambda_2 > \lambda_1\).