Two short magnets `AB` and `CD` in the `X-Y` plane and are parallel to `X-`axis and the co-ordinates of their centres respectively are `(0,2)` and `(2,0)`. Line joining the North-South poles of `CD` is opposite to that of `AB` and lies along the postive `X-`axis. The resultant field induction due to `AB` and `CD` at a point `P(2,2)` is `100xx10^(-7)T`. When the poles of the magnet `CD` are reversed, the resultant field induction is `50xx10^(-7)T`. If the dipole comes to stable equilibrium at an angle of `30^(0)` with this field, then ,magnitude of the other field is

Options

A. `300.200`
B. `400:600`
C. `200:100`
D. `300:100`

Answer

A

Explanation

`B_(R_(1))=B_(1)+B_(2),B_(R_(2))=B_()-B_(2)`