Answer
396.9k+ views
Hint: Energy can be calculated as well as compared using Rydberg's formula which is used to find out wavelength and also for Lyman, n = 1, and for Balmer, n = 2. We will use this information to find out the answer.
Complete step by step answer:
- These names Lyman, Balmer, Brackett, Pfund are given to the lines in hydrogen atom spectra. If we look at the spectra of hydrogen atoms, we find that the emission spectra are divided into a number of lines which are formed due to electron making transitions between respective energy levels which result in the formation of lines.
- Lyman series: when an electron makes a transition from an outer orbit to the first orbit i.e., n=1, that line is called the Lyman series.
- Balmer series: when an electron makes a transition from an outer orbit to a second orbit i.e., n=2, that line is called the Balmer series.
- Similarly, for Brackett n = 4 and Pfund n = 5.
- Now, calculate the energy using the formula shown below
\begin{align*}
\Delta E = 13.6(\dfrac{1}{n^{2}_{1}} -\dfrac{1}{n^{2}_{2}})
\end{align*}
For Lyman,
\begin{align*}n_{1} = 1,\ n_{2} = 2\end{align*}
So, \begin{align*}\Delta E=10.2eV\end{align*}
For Balmer,
\begin{align*}n_{1}=2,\ n_{2} = 3\end{align*}
So, \begin{align*}\Delta E = 1.88 eV\end{align*}
- Now, as we can observe, by moving towards the end of the spectra, energy reduces.
So, the correct answer is “Option D”.
Note: This equation gets modified for Hydrogen atoms and general questions are asked from this equation but for other atoms, the Rydberg equation will be used and few properties like dependence of wavelength, atomic number, etc. should be known from that equation.
Complete step by step answer:
- These names Lyman, Balmer, Brackett, Pfund are given to the lines in hydrogen atom spectra. If we look at the spectra of hydrogen atoms, we find that the emission spectra are divided into a number of lines which are formed due to electron making transitions between respective energy levels which result in the formation of lines.
- Lyman series: when an electron makes a transition from an outer orbit to the first orbit i.e., n=1, that line is called the Lyman series.
- Balmer series: when an electron makes a transition from an outer orbit to a second orbit i.e., n=2, that line is called the Balmer series.
- Similarly, for Brackett n = 4 and Pfund n = 5.
- Now, calculate the energy using the formula shown below
\begin{align*}
\Delta E = 13.6(\dfrac{1}{n^{2}_{1}} -\dfrac{1}{n^{2}_{2}})
\end{align*}
For Lyman,
\begin{align*}n_{1} = 1,\ n_{2} = 2\end{align*}
So, \begin{align*}\Delta E=10.2eV\end{align*}
For Balmer,
\begin{align*}n_{1}=2,\ n_{2} = 3\end{align*}
So, \begin{align*}\Delta E = 1.88 eV\end{align*}
- Now, as we can observe, by moving towards the end of the spectra, energy reduces.
So, the correct answer is “Option D”.
Note: This equation gets modified for Hydrogen atoms and general questions are asked from this equation but for other atoms, the Rydberg equation will be used and few properties like dependence of wavelength, atomic number, etc. should be known from that equation.
Recently Updated Pages
Mark and label the given geoinformation on the outline class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When people say No pun intended what does that mea class 8 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Name the states which share their boundary with Indias class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give an account of the Northern Plains of India class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Advantages and disadvantages of science
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Bimbisara was the founder of dynasty A Nanda B Haryanka class 6 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
10 examples of evaporation in daily life with explanations
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
How do you graph the function fx 4x class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)