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Atoms and Nuclei question

2024 · Q184
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Atoms and Nuclei question

2024 · Q184

NEETPhysicsAtoms and NucleiMCQ+4 / −1

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

NEET 2024 (Re-Examination) Physics - Atoms and Nuclei Question 2 English

  1. A
    λ3>λ2,λ1=2λ2\lambda_3>\lambda_2, \lambda_1=2 \lambda_2λ3​>λ2​,λ1​=2λ2​
  2. B
    λ3>λ2,λ1=4λ2\lambda_3>\lambda_2, \lambda_1=4 \lambda_2λ3​>λ2​,λ1​=4λ2​
  3. C
    λ1>λ2,λ2=2λ3\lambda_1>\lambda_2, \lambda_2=2 \lambda_3λ1​>λ2​,λ2​=2λ3​
  4. D
    λ2>λ1,λ2=2λ3\lambda_2>\lambda_1, \lambda_2=2 \lambda_3λ2​>λ1​,λ2​=2λ3​
View written solutionFree

Correct answer: D

$$\begin{aligned} & h \frac{c}{\lambda_1}=\frac{-5 E}{2}+4 E=\frac{3}{2} E \quad \text{.... (1)}\\ & h \frac{c}{\lambda_2}=-2 E+3 E=E \quad \text{.... (2)}\\ & h \frac{c}{\lambda_3}=-2 E+4 E=2 E \quad \text{.... (3)} \end{aligned}$$

Comparing (2) and (3)

$$\frac{1}{\lambda_3}=\frac{2}{\lambda_2} \quad \lambda_2=2 \lambda_3$$

Comparing (1) and (2)

$$3 \lambda_1=2 \lambda_2 \quad \lambda_1<\lambda_2$$

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