The electron in a hydrogen atom first jumps from the third excited state to the second excited state and subsequently to the first exited state. Ratio of respective wavelengths, \lambda _{1}/\lambda _{2}, of the photons emitted in this process is :

 

  • Option 1)

    20/7

  • Option 2)

    27/5

  • Option 3)

    7/5

  • Option 4)

    9/7

 

Answers (1)

\frac{1}{\lambda _{1}}=R\left ( \frac{1}{3^{2}}-\frac{1}{4^{2}} \right )=\frac{7R}{144}\cdots \cdots (1)

\frac{1}{\lambda _{2}}=R\left ( \frac{1}{2^{2}}-\frac{1}{3^{2}} \right )=\frac{5R}{36}\cdots \cdots (2)

\frac{(2)}{(1)}=\frac{\lambda _{1}}{\lambda _{2}}=\frac{5R}{36}\times \frac{144}{7R}=\frac{20}{7}


Option 1)

20/7

Option 2)

27/5

Option 3)

7/5

Option 4)

9/7

Most Viewed Questions

Preparation Products

Knockout JEE Main (Six Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 9999/- ₹ 8499/-
Buy Now
Knockout JEE Main (Nine Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 13999/- ₹ 12499/-
Buy Now
Test Series JEE Main 2024

Chapter/Subject/Full Mock Tests for JEE Main, Personalized Performance Report, Weakness Sheet, Complete Answer Key,.

₹ 7999/- ₹ 4999/-
Buy Now
Knockout JEE Main (One Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 7999/- ₹ 4999/-
Buy Now
Knockout JEE Main (Twelve Months Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 19999/- ₹ 14499/-
Buy Now
Boost your Preparation for JEE Main 2021 with Personlized Coaching
 
Exams
Articles
Questions