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Given that the Bohr radius of hydrogen a...

Given that the Bohr radius of hydrogen atom is `5.3xx10^(-11)` m . Determine its radius in the first excited state and calculate the total energy in this state.

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To solve the problem, we will follow these steps: ### Step 1: Determine the radius in the first excited state (n=2) The formula for the radius of the nth orbit in a hydrogen atom according to Bohr's model is given by: \[ r_n = 0.53 \, \text{Å} \cdot n^2 ...
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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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