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A magnetised wire is bent into an arc of...

A magnetised wire is bent into an arc of a circle subtending an angle `60^(@)` at its centre. Then its magnetic moment is X. If the same wire is bent into an are of a circle subtending an angle `90^(@)` at its centre then its magnetic moment will be

A

`(xsqrt2)/3`

B

`x/3`

C

`((2sqrt2)x)/3`

D

`(3x)/(2sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
C
`M^(1)=(2Msin(theta/2))/theta`
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Knowledge Check

  • A magnetised wire is bent into an arc of a circle subtending an angle 90^(0) at its centre then its manetic moment will be

    A
    `(xsqrt2)/(3)`
    B
    `(x)/(3)`
    C
    `((2sqrt2)x)/(3)`
    D
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    `(2M//pi)`
    B
    `(M//pi)`
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    `(3sqrt(3)M//pi)`
    D
    `(3M//pi)`

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    A
    `(pi)/(120)`
    B
    `(60)/(pi)`
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