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Find the ratio between the wavelength of...

Find the ratio between the wavelength of the most energetic' spectral lines in the Balmer and Paschen series of the hydrogen spectrum.

Text Solution

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For Lyman series
`1/lambda_L=R(1/1^2-1/oo^2)`
`lambda_L=1/R`
For Paschen series
`1/lambda_P=R(1/3^2-1/oo^2)`
`lambda_P=9/R`
For Pfund series
`1/lambda_"PF"=R(1/5^2-1/oo^2)`
`lambda_"PF"=25/R`
`lambda_L : lambda_P : lambda_"PF"` =1:9:25
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MODERN PUBLICATION-ATOMS -Revision Exercise (Numerical Problems )
  1. Calculate the energy of an a-particle if in a collision of this partic...

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  2. (a) Name different series of lines observed in hydrogen spectrum. (b...

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  3. Find the value of angular momentum of an electron in the 4^(th) orbit ...

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  4. Calculate the period of revolution of an electron revolving in the fir...

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  5. Obtain the expression for the ratio of the de Broglie wavelengths asso...

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  6. What is the shortest wavelength present in the Paschen series of spect...

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  7. If the wavelength of Halpha line of Balmer seriesin hydrogen spectrum ...

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  8. Given that the Bohr radius of hydrogen atom is 5.3xx10^(-11) m . Deter...

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  9. The electron in a hydrogen atom initially in state of quantum number n...

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  10. In the ground state of hydrogen atom, its Bohr radius is 5.3xx10^(-11)...

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  11. (a) The radius of the innermost electron orbit of a hydrogen atom is 5...

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  12. (a) Calculate the kinetic energy and potential energy of the electron ...

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  13. Calculate the energy required to excite an electron from ground state ...

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  14. A hydrogen atom in its excited state emits radiations of wavelengths 1...

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  15. Find the ratio between the wavelength of the most energetic' spectral ...

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  16. The period of revolution of electron in the third orbit in a H-atom is...

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  17. Find out the ratio of energies of photons produced when an electron (i...

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  18. Draw the energy-level diagram of hydrogen atom. Show the Lyman series ...

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  19. A 12.5 eV electron beam is used to bombard gaseous hydrogen at room te...

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  20. Given the ground state energy E0 = -13.6 eV and Bohr radius a0 = 0.53 ...

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