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Calculate the ratio of the radius of 1^(...

Calculate the ratio of the radius of `1^(st)` orbit of H atom to thatof`4^(th)`orbit.
Hint `: r_(n) prop ( n)^(2)`

Text Solution

Verified by Experts

`( r_(1))/( r_(4))= (1)/(16)`
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Knowledge Check

  • Find the ratio of frequency of e^(-) in 1^(st) orbit of H atom to 3^(rd) of He^(+) ion.

    A
    `(27)/(4)`
    B
    `(4)/(27)`
    C
    `(54)/(4)`
    D
    `(27)/(8)`

  • The ratio of the radius difference between 4th and 3rd orbit of H-atom and that of Li^(2+) is:

    A
    `1 : 1`
    B
    `3 : 1`
    C
    `3 : 4`
    D
    `9 : 1`

  • The orbit having Bohr radius equal to 1st Bohr orbit of H-atom is :

    A
    `n = 2 "of" He^(+)`
    B
    n= 2 of `B^(+4)`
    C
    n = 3 of `Li^(2+)`
    D
    n = 2 of `Be^(+3)`

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    The radius of 1^(st) orbit of H-atom is 0.53A^(@) .Then the radius of 5^(th) orbit of Li^(+2) is "

    Calculate the energy associated with the first orbitof He^(+) .What is the radius of this orbit ? Hint : E_(n) = - 2.18 xx10^(-18) ((Z^(2))/( n^(2))) J // atom He^(+) ( Z=2) r_(n) = ( 52.9(n^(2)))/(Z) pm

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    If the radius of the first Bohr orbit of the H atom is r then for the Li^(2+) ion it will be:

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