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Starting with ? r= (epsioh^2n^2)/(pimZe^...

Starting with ? r= `(epsi_oh^2n^2)/(pimZe^2)`, Show that the speed of electron in nth orbit varies inversely to principal quantum number.

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Show that the radius of the orbit in hydrogen atom varies as n2, where n is the principal quantum number of the atom.

According to Bohr's theory of the hydrogen atom, the speed v_(n) of the electron in a stable orbit is related to the principal quantum number n as (C is a constant) :

Knowledge Check

  • Speed (V_(n)) of electron in nth orbit versus principal quantum number (n) graphs is

    A
    B
    C
    D

  • the number of electrons accommodated in an orbital with principal quantum number 3 is

    A
    2
    B
    6
    C
    8
    D
    18

  • The total number of orbitals in a shell with principal quantum number n is :

    A
    2n
    B
    `2n^(2)`
    C
    `n^(2)`
    D
    `n+1`

    • Similar Questions

    Explore conceptually related problems

    Show graphically the nature of variation of radius of orbit with the principal quantum number.

    The total number of orbitals in a shell with principal quantum number n is :

    Assertion (A) : In a hydrogen atom the radius of nth orbit is directly proportional to the quantum number n. Reason (R) : The speed of electron in nth orbitis inversely proportional to the quantum number.

    Speed of a revolving electron around the nucleus varies with principal quantum number n as :

    The maximum number of electrons in the shell with principal quantum number n is equal to

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