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Suppose the potential energy between ele...

Suppose the potential energy between electron and proton at a distance r is given by -(Ke^(2))/(3r^(2) .As per Bohr's quantization rule,the speed of electron in n th orbit of H-atom is

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Suppose the potential energy between electron and proton at a distance r is given by (ke^(2))/(3r^(3)) . Use Bohr's theory to obtain energy of such a hypothetical atom.

Suppose the potential energy between an electron and aproton at a distance r is given by -Ke^(2)// 3 r^(3) . Use Bohr's theory to obtain energy level of such a hypothetical atom.

Knowledge Check

  • Supose the potential energy between electron and porton a distance r is given by U=-(Ke^(2))/(3r^(3)) Assuming Bohar's Model to be valid for this atom if the speed of elctron in n^(th) orbit depends on the prinicpal quantum number n as v oon^(x) then find the vlaue of x.

    A
    1
    B
    2
    C
    3
    D
    4

  • Suppose the potential energy between an electron and a proton at a distance r is given by Ke^(2)// 3 r^(3) . Application of Bohr's theory tohydrogen atom in this case showns that

    A
    energy in the nth orbit is proportional to `n^(6)`
    B
    energy is proportional to `m^(-3)` `(m = "mass of electron")`
    C
    energy in the nth orbit is proportional to `n^(-2)`
    D
    energy is proportional to `m^(3)` (m = "mass of electron")`

  • In a hypothetical atom, potential energy between electron and proton at distance r is given by ((-ke^(2))/(4r^(2))) where k is a constant Suppose Bohr theory of atomic structrures is valid and n is principle quantum number, then total energy E is proportional to

    A
    `n^(5)`
    B
    `n^(2)`
    C
    `n^(6)`
    D
    `n^(4)`

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    Suppose the potential energy between electron and proton at a distance r is given buy -k e^(2)//3 r^(3) . Use Bohr's theory, determine energy levels of such a hypothetical atom.

    Kinetic energy of electron in n^("th") orbit in H-atom

    " Kinetic energy of electron in "n''" orbit in H-atom "

    Suppose the potential energy between electron and proton at a distance r is given by U= Ke l n(r )/(a) , where r lt a and k, e,a are positive constants. Use Bohr's theory to obtain the energy of nth energy level of such an atom.

    The energy of an electron in n^"th" orbit of hydrogen atom is

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