SATHEE: atoms Question 27

atoms Question 27

Question: Q. 5. A monochromatic radiation of wavelength $975^{\circ}$ excites the hydrogen atom from its ground state to a higher state. How many different spectral lines are possible in the resulting spectrum? Which transition corresponds to the longest wavelength amongst them.

[SQP 2018]

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Solution:

Ans. Energy corresponding to the giyen wavelength $E ($ in $eV) = \frac{12400}{λ (in \AA)} = 12.71 eV$

The excited state :

$\begin{aligned} E_{n} - E_{1} & = 12.71 \frac{- 13.6}{n^{2}} + 13.6 & = 12.71 \end{aligned}$

$∴ n = 3.9 \approx 4$

Total no. of spectral lines emitted : $\frac{n (n - 1)}{2} = 6$

Longest wavelength will correspond to the transition from $n = 1$ to $n = 4$

[CBSE Marking Scheme, 2018]

Atoms

atoms Question 27

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Atoms

atoms Question 27

Table of Contents

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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