SATHEE: Atoms And Nuclei Question 312

Atoms And Nuclei Question 312

Question: In the hydrogen atom spectrum $λ_{3 - 1}$ and $λ_{2 - 1}$ represent wavelengths emitted due to transition from second and first excited states to the ground. state respectively. The value of $\frac{λ_{3 - 1}}{λ_{2 - 1}}$ is

Options:

A) 27/32

B) 32/27

C) 4/9

D) 9/4

Show Answer

Answer:

Correct Answer: A

Solution:

$\frac{1}{λ_{3 - 1}} = R (\frac{1}{1^{2}} - \frac{1}{3^{2}}) = \frac{8 R}{9}$ $\frac{1}{λ_{2 - 1}} = R (\frac{1}{1^{2}} - \frac{1}{2^{2}}) = \frac{3 R}{4} \Rightarrow \frac{λ_{3 - 1}}{λ_{2 - 1}} = \frac{27}{32}$

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Atoms And Nuclei Question 312

Question: In the hydrogen atom spectrum λ3−1 and λ2−1 represent wavelengths emitted due to transition from second and first excited states to the ground. state respectively. The value of λ3−1λ2−1 is

Options:

Answer:

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Question: In the hydrogen atom spectrum $λ_{3 - 1}$ and $λ_{2 - 1}$ represent wavelengths emitted due to transition from second and first excited states to the ground. state respectively. The value of $\frac{λ_{3 - 1}}{λ_{2 - 1}}$ is