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State and explain Bohr's postulates for ...

State and explain Bohr's postulates for hydrogen atom.

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Bohr gave following three postulates for hydrogen atom:
1. An electron revolves round the nucleus in certain specified circular orbits in which it does not radiate energy. The centripetal force required for uniform circular motion in such a stationary orbit is provided by electrostatic force of attraction. Thus, `(m v_(n)^(2))/(r_(n)) = (1)/(4 pi in_(0)) .(e^(2))/(r_(n)^(2))" "......(i)`
2.For an orbit to be stationary (or non - radiating ) , the angular momentum of the electron must be an integer multiple of `(h)/(2pi)` where h is the Planck .s contant . Thus
`L_(n) = m v_(n) r_(n) = (nh)/(2pi)" ".......(ii)`
3. Whenever an electron shift from one of its specified non - radiating orbit to another such orbit , it emits /absorbs a photon whose energy is equal to the energy difference between the initial and final states . Thus .
`E_(i) = E_(f)= hv = (hc)/(lambda)" "............(iii)`
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Knowledge Check

  • In Bohr's model of the hydrogen atom:

    A
    The radius of the nth orbit is inversely proportional to `n^(2).`
    B
    The total energy of the electron in the nth orbit is inversely proportional to 'n'.
    C
    The angular momentum of the electron in an orbit is an intergral multiple of `h//2pi.`
    D
    The magnitude of potential energy of the electron in any orbit is greater than its KE.
  • In Bohr's theory for hydrogen -like atoms

    A
    if atomic number increases radius of the orbit increases
    B
    if principal quantum number of the orbit increases velocity of the electrons in the orbit slightly increases.
    C
    in hypothetical condition if mass of the revolving electron is increased electron velcity in the orbit will remain exactly same
    D
    none of the above
  • Radius of Bohr's orbit of hydrogen atom is

    A
    `0.24 Å`
    B
    `0.48 Å`
    C
    `0.53 Å`
    D
    `1.06 Å`
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