1.

The magnetic induction at a point P on the axis is equal to the magnetic induction at a point on the equator of a short magnetic dipole. What is the ratio of the distances of P and Q from the centre of the dipole?

Answer»

`2^(2//3)`
`3^(1//2)`
`2^(2//3)`
`4^(1//3)`

SOLUTION :Let `d_(1) and d_(2)` be the distances of the POINTS P and Q respectively from the centre of the dipole.
It is given that `B_(P) = B_(Q)`
`therefore mu_(0)/(4PI)(2M)/d_(1)^(3)=(mu_(0))/(4pi)M/d_(2)^(3)`
`implies 2/d_(1)^(3)=1/d_(2)^(3) = d_(1)^(3) = 2d_(2)^(3) implies (d_(1)/d_(2))^(3)=2`
`therefore` Taking the CUBE regts moth sides. we get
`d_(1)/d_(2) = 2^(1//3)`


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