(a) How is the stability of hydrogen atom in Bohr model explained by de Broglie's hypothesis?
(b) A hydrogen atom initially in the ground state absorbs a photon which excites it to n = 4 level. When it gets de-excited, find the maximum number of lines which are emitted by the atom. Identify the series to which these lines belong. Which of them has the shortest wavelength?

 

 
 
 
 
 

Answers (1)

a) Thus de Broglie hypothesis gives an explanation for Bohr’s second postulate. The quantised electron orbits and energy states are due to the wave nature of the electron and only resonant standing waves can persist.

According to de Broglie hypothesis

2\pi r=n\lambda=\frac{nh}{p}=\frac{nh}{mv}\\\\\Rightarrow mvr=\frac{nh}{2\pi}

b) 6 lines are emitted by the atom, which is during the transition from

1. 4 to 3: Paschen series

2. 4 to 2: Balmer series

3. 4 to 1: Lyman series

4. 3 to 2: Balmer series

5. 3 to 1:  Lyman series

6. 2 to 1:  Lyman series

4 to 1 has the shortest wavelength, which belongs to the Lyman series.

Most Viewed Questions

Preparation Products

Knockout CUET (Physics, Chemistry and Mathematics)

Complete Study Material based on Class 12th Syllabus, 10000+ Question Bank, Unlimited Chapter-Wise and Subject-Wise Mock Tests, Study Improvement Plan.

₹ 7999/- ₹ 4999/-
Buy Now
Knockout CUET (Physics, Chemistry and Biology)

Complete Study Material based on Class 12th Syllabus, 10000+ Question Bank, Unlimited Chapter-Wise and Subject-Wise Mock Tests, Study Improvement Plan.

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

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

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

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

₹ 13999/- ₹ 12499/-
Buy Now
Knockout NEET (Six Month Subscription)

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

₹ 9999/- ₹ 8499/-
Buy Now
Boost your Preparation for JEE Main with our Foundation Course
 
Exams
Articles
Questions