
Calculate the shortest and longest wavelengths in the hydrogen spectrum of Lyman series.
Answer
447.8k+ views
2 likes
Hint: The lines arise when electron comes from higher energy level to lower energy level of Principle quantum number one is known as Lyman series. Longest wavelength corresponds to the lowest energy transition and shortest wavelength corresponds to the highest energy transition.
Formula used:
Complete step by step answer:
The formula to determine the wavelength of transitions in hydrogen spectrum is as follows:
Where,
is the wavelength.
is the Rydberg constant.
The value of Rydberg constant is .
is the principle quantum of the energy level in which the electron comes.
is the principle quantum of the energy level from which the electron comes.
Lyman series arise when electrons from higher energy levels come to the energy level of principle quantum number one. So, the is .
So, the wavelength formula for Lyman series is as follows:
Shortest wavelengths in the hydrogen spectrum of Lyman series means the electron is coming from the highest energy level. The highest energy level is .
So, the shortest wavelengths is,
Substitute for Rydberg constant, and for .
So, the shortest wavelength is .
Longest wavelengths in the hydrogen spectrum of Lyman series means the electron is coming from the next higher energy level. The next higher energy level is second so, the is .
So, the longest wavelengths is,
Substitute for Rydberg constant and for .
So, the longest wavelength is .
Therefore, the shortest and longest wavelengths in hydrogen spectrum of Lyman series are and respectively.
Note:
The relation between energy and wavelength is as follows: . Wavelength and energy are inversely proportional. In hydrogen atoms the lowest energy level has principal quantum number one. The highest energy level can be infinite. The Lyman series lies in the ultraviolet region of the electromagnetic spectrum.
Formula used:
Complete step by step answer:
The formula to determine the wavelength of transitions in hydrogen spectrum is as follows:
Where,
The value of Rydberg constant is
Lyman series arise when electrons from higher energy levels come to the energy level of principle quantum number one. So, the
So, the wavelength formula for Lyman series is as follows:
Shortest wavelengths in the hydrogen spectrum of Lyman series means the electron is coming from the highest energy level. The highest energy level is
So, the shortest wavelengths is,
Substitute
So, the shortest wavelength is
Longest wavelengths in the hydrogen spectrum of Lyman series means the electron is coming from the next higher energy level. The next higher energy level is second so, the
So, the longest wavelengths is,
Substitute
So, the longest wavelength is
Therefore, the shortest and longest wavelengths in hydrogen spectrum of Lyman series are
Note:
The relation between energy and wavelength is as follows:
Recently Updated Pages
Master Class 11 Accountancy: Engaging Questions & Answers for Success

Master Class 11 Social Science: Engaging Questions & Answers for Success

Master Class 11 Economics: Engaging Questions & Answers for Success

Master Class 11 Physics: Engaging Questions & Answers for Success

Master Class 11 Biology: Engaging Questions & Answers for Success

Class 11 Question and Answer - Your Ultimate Solutions Guide

Trending doubts
1 ton equals to A 100 kg B 1000 kg C 10 kg D 10000 class 11 physics CBSE

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Difference Between Prokaryotic Cells and Eukaryotic Cells

What is the technique used to separate the components class 11 chemistry CBSE

Which one is a true fish A Jellyfish B Starfish C Dogfish class 11 biology CBSE

Give two reasons to justify a Water at room temperature class 11 chemistry CBSE
