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Two magnetic dipoles X and Y are kept at...

Two magnetic dipoles X and Y are kept at a distance d apart, with their axes perpendicular to each other. The dipole moment of Y is twice that of X. P is a point along the horizonal line which is at the midpoint of d. What is the magnitude of the force of particle of charge q passing through P at angle `theta=45^(@)`? (d is very much larger in comparison to dipole)

A

`sqrt(2)((mu_(0))/(4pi))M/((d//2)^(3))xxqv`

B

`((mu_(0))/(4pi))(2M)/((d//2)^(3))xxqv`

C

`((mu_(0))/pi)M/((d//2)^(3))xxqv`

D

0

Text Solution

Verified by Experts

The correct Answer is:
D


`B_(1)=2 ((mu_(0))/(4pi)).M/((d//2)^(3)), B_(2) =((mu_(0))/(4pi)).(2M)/((d//2)^(3))`
`B_(1)=B_(2)`
` :. ` Net magnetic field will be at `45^(@)`
` :. ` The direction of `B_("net")` and velocity of charge is same , hence charge will experience no force .
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