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de-Broglie wavelength of an electron in ...

de-Broglie wavelength of an electron in the nth Bohr orbit is `lambda_(n)` and the angular momentum is `J_(n)` then

A

`J_(n) prop lambda_(n)`

B

`lambda_(n) prop (1)/(J_(n))`

C

`lambda_(n) prop J_(n)^(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A

`J_(n)=(nh)/(2pi) implies n lambda_(n)=2 pi (r_(0) n^(2))`
So `J_(n) prop lambda_(n) implies lambda_(n) =(2pi r_(0))n`
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Knowledge Check

  • The de-Broglie wavelength of an electron in the first Bohr orbit is

    A
    equal to one- fourth the circumference of the first orbit
    B
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    C
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    D
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