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Expression of orbital magnetic moment is...

Expression of orbital magnetic moment is

A

`mu _(i) = evr `

B

`mu _(i) = (evr)/(2)`

C

`mu _(i) = evr ^(2)`

D

`mu _(i) = ev ^(2) r `

Text Solution

Verified by Experts

The correct Answer is:
D
`mu _(i) = (evr)/( 2)`
`mu _(i) = lA`
`= ( ev)/(2pi r ) pi r ^(2)`
The ratio of `(e)/( 2 m _(e))` is known as gyromagnetic ratio which is constant. The value is `8.8 xx 10 ^(10) C kg ^(-1).`
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An electron in a hydrogen atom is in an excited state and corresponding principal quantum number is n. Obtain the expression for orbital magnetic moment of electron. Charge on electron is e, mass of electron is m.

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Knowledge Check

  • The angle made by orbital angular momentum of electron with the direction of the orbital magnetic moment is

    A
    `120^(@)`
    B
    `60^(@)`
    C
    `180^(@)`
    D
    `90^(@)`

  • The expression for effective magnetic moment (mu_(eff)) is

    A
    `mu_(eff)=sqrt(n(n+2))" "B.M.`
    B
    `mu_(eff)=sqrt(2(n+2))" "B.M.`
    C
    `mu_(eff)=sqrt(n(2n+2))" "B.M.`
    D
    `mu_(eff)=sqrt(n(n+1))" "B.M.`

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