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According to the bohr's atomic model, th...

According to the bohr's atomic model, the relation between principal quantum number (n) and radius of orbit (r) is

A

`r prop n^(2)`

B

`rprop(1)/(n^(2))`

C

`r prop (1)/(n)`

D

`r prop n`

Text Solution

Verified by Experts

The correct Answer is:
D
Electron angular momentum about the nucleus is an integral multiple of `(h)/(2pi)`, where h is planck's constant.
thus, `l omega=mvr=(nh)/(2pi)`
hence, `r prop n`
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Knowledge Check

  • According to Bohr's principle , the relation between principal quantum number (n) and radius of orbit is

    A
    `r prop n`
    B
    `r prop n^2`
    C
    `r prop 1/n`
    D
    `r prop 1/n^2`

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    C
    the electron can move in particular orbits
    D
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    electron on H atom can have only certain values of angular momentum
    B
    electrons have a particle as well as wave character
    C
    atomic spectrum of atom should contain only five lines
    D
    all the above statements are correct

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