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The potential of an atom is given by V=V...

The potential of an atom is given by `V=V_(0)log_(e)(r//r_(0))` where `r_(0)` is a constant and r is the radius of the orbit Assumming Bohr's model to be applicable, which variation of `r_(n)` with n is possible (n being proncipal quantum number)?

A

`r_n prop n`

B

` r _n prop 1/n`

C

`r _ n prop n^2`

D

`r_n propn 1/n^2`

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The correct Answer is:
A
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Knowledge Check

  • The elecrric potential between a proton and as electron is given by V= V_(0) ln (r /r_(0)) , where r_(0) is a constant . Assuming Bohr's model to be applicable , write variation of r_(n) with n , n being the principal quantum number ?

    A
    `r_(n) prop n `
    B
    `r_(n) prop 1//n `
    C
    `r_(n) prop n^(2)`
    D
    `r_(n) prop 1//n^(2) `

  • If 'r' is the radius of the lowest orbit of Bohr's model of H-atom, then the radius of n^(th) orbit is

    A
    `r n^(2)`
    B
    2r
    C
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  • The ratio of r_(n)//r_(0) ( r_(n) radius of nucleus and r_(0) is radius of atom)

    A
    A
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    `A^(1//3)`
    C
    `A^(2//3)`
    D
    `A^(3//2)`

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