Answer :

We know from Rydberg's Equation, the wavelength λ of emission spectrum when electrons move from n₂ energy level to n₁ energy level is given by,



For Hydrogen atom, Z=1.


The wavelength range 380-780 nm lies in the Balmer Series.


Thus, n₁=2 for Balmer Series.


Substituting n₂=3, we get λ=656.3 nm


Substituting n₂=7, we get λ=397.0 nm


Thus, we get 5 wavelengths: n=3 to n=2; n=4 to n=2; n=5 to n=2; n=6 to n=2 and n=7 to n=2.


For other values of n₂, the range of 380-780nm is not possible.


The wavelength range 50-100 nm, within n=7 to n=2, lies in the Lyman Series.


Thus, n₁=1 for Lyman Series.


Substituting n₂=4, we get λ=97.3 nm


Substituting n₂=6, we get λ=93.8 nm


Thus, we get 3 wavelengths: n=4 to n=1; n=5 to n=1 and n=6 to n=1.


For other values of n₂ (within n=7 to n=2), the range of 50-100 nm is not possible.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

(a) State Bohr’s Physics - Board Papers

The Bohr model foPhysics - Exemplar

Consider an excitHC Verma - Concepts of Physics Part 2

Suppose in an imaHC Verma - Concepts of Physics Part 2

In the Auger procPhysics - Exemplar

A uniform magnetiHC Verma - Concepts of Physics Part 2

Consider a neutroHC Verma - Concepts of Physics Part 2

Light from BalmerHC Verma - Concepts of Physics Part 2

A neutron having HC Verma - Concepts of Physics Part 2

A particle is movPhysics - Exemplar