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Calculate the energy of the electron in the ground state of the hydrogen atom.

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To calculate the energy of the electron in the ground state of the hydrogen atom, we can use the formula derived from the Bohr model of the hydrogen atom. The energy of the electron in the nth energy level is given by: \[ E_n = -\frac{m_e e^4}{8 \epsilon_0^2 h^2 n^2} \] Where: - \( E_n \) is the energy of the electron in the nth state, ...
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NAVNEET PUBLICATION - MAHARASHTRA BOARD-SOLVED PROBLEMS-II -Atoms, Molecules and Nuclei
  1. Calculate the radius of the first Bohr orbit in the hydrogen atom. Hen...

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  2. Calculate the frequency of revolution of the electron in this second B...

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  3. Determine the frequency of revolution of an electron in the second Bo...

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  4. Calculate the energy of the electron in the ground state of the hydrog...

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  5. An electron is orbitting in the fourth Bohr orbit. Calculate the ionis...

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  6. The potential energy of the electron in the first Bohr orbit in the hy...

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  7. Find the value of Rydberg's constant if the energy of electron in the ...

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  8. The wavelength of H(alpha) line is Balmer series is 6563 Å. Compute th...

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  9. Find the ratio of longest wavelangth in Paschen series to shortest wav...

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  10. Given the atomic mass of ""^(56)Fe is 55.93 u, find its nuclear densit...

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  11. Find the rest mass energy of a proton in MeV. [m(p) = 1.673 xx 10^(-...

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  12. The decay constant of a radioactive material is 5 xx 10^(-4) per year....

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  13. Protactinium ""(91)^(233)Pa decays to 1/5th of its initial quantitiy i...

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  14. The half-life of a radiactive material is 4 days. Find the time requir...

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  15. A radioactive sample with half-life 2 days has initial activity 32mu C...

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  16. .(90)Th^(232) to .(82)Pb^(208). The number of alpha and beta-"particle...

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  17. After a series of alpha and beta decays, .94Pu^(239) becomes .82Pb^(20...

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  18. Find the de Broglie wavelength associated with a proton accelerated fr...

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  19. Calculate the de Broglie wavelength associated with an electron moving...

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  20. A praticle of mass M at rest decays into two particle of masses m1 and...

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