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In the nth orbit of hydrogen atom, find ...

In the nth orbit of hydrogen atom, find the ratio of the radius of the electron orbit and de-Broglie wavelength associated with it.

A

`(n)/(2pi)`

B

`(n^(2))/(2pi)`

C

`(1)/(2pin)`

D

`(1)/(2pin^(2))`

Text Solution

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The correct Answer is:
A
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State the expression for the radius of the nth Bohr orbit in a hydrogen atom. Hence state the expression for the de Broglie wavelength associated with the electron in this orbit.

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Knowledge Check

  • Consider an electron in the nth orbit of a hydrogen atom in the Bohr's model. In terms of de-Broglie wavelength of that electron the circumference of the orbit is given as .

    A
    `0.259 n lambda`
    B
    `sqrt(n ) l`
    C
    `13.6 lambda`
    D
    `n lambda`
  • According to Bohr's theory of hydrogen atoms, the product of the binding energy of the electro in the nth orbit and its radius in the nth orbit

    A
    is proportional to `n^(2-)`
    B
    is inversely proportional to `n^(3)`
    C
    has a constant value of `10.2eVÅ`
    D
    has constant value `7.2eVÅ`
  • Assertion Second orbit circumference of hydrogen atom is two times the de-Broglie wavelength of electrons in that orbit Reason de-Broglie wavelength of electron in ground state is minimum.

    A
    If both Assertion and Reason ar true and Reason is the correct explanation of Assertion.
    B
    If both Assertion and Reason are true but Reason is not correct explanation of Assertion
    C
    If Assertion is true by Reason is false.
    D
    If Assertion is false but Reason is true.
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