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An imaginary particle has a charge equa...

An imaginary particle has a charge equal to that of an electron and mass 100 times the mass of the electron. It moves in a circular orbit around a nucleus of charge + `4 e`. Take the mass of the nucleus to be infinite. Assuming that the Bhor model is applicable to this system. (a)Derive an expression for the radius of `n^(th)` Bhor orbit. (b) Find the wavelength of the radiation emitted when the particle jumps from fourth orbit to the second orbit.

Text Solution

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`r_n=(n^2h^2epsilon_0)/(400pim_e e^2)`, 4.08 keV
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An imaginary particle has a charge equal to that of an electron and mass 100 times tha mass of the electron. It moves in a circular orbit around a nucleus of charge + 4 e. Take the mass of the nucleus to be infinite. Assuming that the Bhor model is applicable to this system. (a)Derive an experssion for the radius of nth Bhor orbit. (b) Find the wavelength of the radiation emitted when the particle jumps from fourth orbit to the second orbit.

A particle known as mu mean has a charge equal to that of no electron and mass 208 times the mass of the electron B moves in a circular orbit around a nucleus of charge +3e Take the mass of the nucles to be infinite Assuming that the bohr's model is applicable to this system (a)drive an eqression for the radius of the nth Bohr orbit (b) find the value of a for which the redius of the orbit it approninately the same as that at the first bohr for a hydrogen atom (c) find the wavelength of the radiation emitted when the u - mean jump from the orbit to the first orbit

Knowledge Check

  • In Bohr's model electrons are revolving in a circular orbits around the nucleus called as

    A
    stationary orbits
    B
    non radiating orbits
    C
    Bohr's orbits
    D
    all of these

  • According to classical theory if an electron is moving in a circular orbit around the nucleus:

    A
    it will contuinue to do so for something
    B
    its orbit will continuously shrink
    C
    its orbit will continuously enlarge
    D
    it will continue to do so for all the time.

  • According to Rutherford, electrons revolve in a circular orbit around the nucleus in order to

    A
    attract protons
    B
    absorb energy
    C
    radiate energy
    D
    nullify attraction from nucleus

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