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Using Bohr.s postulates, derive the expr...

Using Bohr.s postulates, derive the expression for the frequency of radiation emitted when electron in hydrogen atom undergoes transition from higher energy state (quantum number `n_1`) to the lower state (`n_f`). When electron in hydrogen atom jumps from energy state `n_1 = 4` to `n_f = 3, 2, 1, indentify the spectral series to which the emission lines belong.

Answer

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Knowledge Check

  • As the electrons in Bohr orbit of hydrogen atom passes from state n=2 to n=1, the kinetic energy K and potential energy U change as

    A
    K two-fold, U four-fold
    B
    K two-fold, U two-fold
    C
    K four-fold, U four-fold
    D
    K two-fold, U also two-fold

  • If an electron in any hydrogen atom jumps from an orbit n_(i)=3 to an orbit with level n_f= 2, the frequency of the emitted radiation is :

    A
    `v=(36c)/(5R)`
    B
    `v=(cR)/(6)`
    C
    `v=(5Rc)/(36)`
    D
    `v=(6c)/(R)`

  • If an electron in hydrogen atom jumbs from an orbit of level n = 3 to an orbit of level n = 2, the emitted radiation has a frequency

    A
    `(RC)/(25)`
    B
    `(5RC)/36`
    C
    `(3RC)/27`
    D
    `(8RC)/9`

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