Q129 / 200 · NEET 2024 (Re-NEET) · Physics

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

A
$\lambda_3\gt\lambda_2, \lambda_1=2 \lambda_2$
B
$\lambda_3\gt\lambda_2, \lambda_1=4 \lambda_2$
C
$\lambda_1\gt\lambda_2, \lambda_2=2 \lambda_3$
Correct answer
D
$\lambda_2\gt\lambda_1, \lambda_2=2 \lambda_3$

Solution

$h \frac{c}{\lambda_1}=\frac{-5 E}{2}+4 E=\frac{3}{2} E$...(i) $h \frac{c}{\lambda_2}=-2 E+3 E=E$...(ii) $h \frac{C}{\lambda_3}=-2 E+4 E=2 E$...(iii) Comparing (2) and (3) $\frac{1}{\lambda_3}=\frac{2}{\lambda_2} \quad \lambda_2=2 \lambda_3$ Comparing (1) and (2) $3 \lambda_1=2 \lambda_2 \quad \lambda_1 \lt \lambda_2$

Hence, the correct answer is option: 'D'.

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