SATHEE: Atoms And Nuclei Question 82

Atoms And Nuclei Question 82

Question: The wavelength of radiation emitted is $λ_{0}$ when an electron jumps from the third to the second orbit of hydrogen atom. For the electron jump from the fourth to the second orbit of the hydrogen atom, the wavelength of radiation emitted will be [SCRA 1998; MP PET 2001; MH CET 2003]

Options:

A) $\frac{16}{25} λ_{0}$

B) $\frac{20}{27} λ_{0}$

C) $\frac{27}{20} λ_{0}$

D) $\frac{25}{16} λ_{0}$

Show Answer

Answer:

Correct Answer: B

Solution:

$\frac{1}{λ} = R, [\frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}}]$
Þ $\frac{1}{λ_{3 \to 2}} = R, [\frac{1}{{(2)}^{2}} - \frac{1}{{(3)}^{2}}] = \frac{5 R}{36}$ and $\frac{1}{λ_{4 \to 2}} = R [\frac{1}{{(2)}^{2}} - \frac{1}{{(4)}^{2}}] = \frac{3 R}{16}$ \ $\frac{λ_{4 \to 2}}{λ_{3 \to 2}} = \frac{20}{27}$
Þ $λ_{4 \to 2} = \frac{20}{27} λ_{0}$

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Atoms And Nuclei Question 82

Question: The wavelength of radiation emitted is λ0 when an electron jumps from the third to the second orbit of hydrogen atom. For the electron jump from the fourth to the second orbit of the hydrogen atom, the wavelength of radiation emitted will be [SCRA 1998; MP PET 2001; MH CET 2003]

Options:

Answer:

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Question: The wavelength of radiation emitted is $λ_{0}$ when an electron jumps from the third to the second orbit of hydrogen atom. For the electron jump from the fourth to the second orbit of the hydrogen atom, the wavelength of radiation emitted will be [SCRA 1998; MP PET 2001; MH CET 2003]