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A small magnet of dipole moment M is kep...

A small magnet of dipole moment `M` is kept on the arm of a deflection magentometer set in tan `A` position at a distance of `0.2 m`. If the deflection is `60^(@)`, find the value of `P (B_(H)=0.4xx10^(-4)T)`.

A

`2.77 Am^(2)`

B

`8 Am^(2)`

C

`0.2 Am^(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
`because" "B=B_(H)tantheta`
`"or "(mu_(0))/(4pi)(2M)/(r^(3))=0.4 xx 10^(-4)tan60^(@)`
`therefore (mu_(0)M)/(2pi(0.2)^(3))=0.4 xx 10^(-4)tan60^(@)`
`M=(0.4xx4pixx(0.2)^(3)xx10^(-4)xxsqrt(3))/(2xxmu_(0))`
`=(0.00277xx10^(-4))/(10^(-7))`
`therefore " "M=2.77Am^(2)`
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