Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Get immediate answers to your questions from a wide network of experienced professionals on our Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
The shortest wavelength in the paschen series= [tex]8.2\times 10^{-7}[/tex] m.
How do we calculate the shortest wavelength in the paschen series?
Emission lines for hydrogen occur when electrons drop from some energy level to a lower energy level. To calculate the shortest wavelength in the paschen series we are using the formula,
[tex]\frac{1}{\lambda} =R_{H} (\frac{1}{n_{f}^{2} }-\frac{1}{n^{2} } )[/tex]
Here, we are given,
[tex]R_{H}[/tex]= Rydberg constant=[tex]1.09737 \times 10^{7} m^{-1}[/tex]
[tex]n_f[/tex]= The lower energy level quantum number.=3 (for the paschen series).
n= The quantum number of whichever state the transitions occur from = (for this case of the paschen series).
We have to find the wavelength associated with the photon emitted = [tex]\lambda[/tex] m.
Now we substitute the known values in the above equation, we can find that,
[tex]\frac{1}{\lambda} =1.09737 \times 10^{7} (\frac{1}{3^2 }-\frac{1}{\infty^{2} } )[/tex]
Or,[tex]\frac{1}{\lambda} =1.09737 \times 10^{7}\times \frac{1}{9 }[/tex]
Or,[tex]\frac{1}{\lambda} =1,219,300[/tex]
Or,[tex]\lambda= 8.2\times 10^{-7}[/tex] m
From the above calculation we can conclude that the shortest wavelength in the paschen series is [tex]8.2\times 10^{-7}[/tex] m
Learn more about paschen series:
https://brainly.com/question/15322810
#SPJ4
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.
