Two magnetic dipoles \(X\) and \(Y\) are placed at a separation \(d\), with their axes perpendicular to each other. The dipole moment of \(Y\) is twice that of \(X\). A particle of charge \(q\) is passing through their mid-point \(P\), at angle \(\theta  = 45^o\) with the horizontal line as shown in the figure. What would be the magnitude of force on the particle at that instant ? (\(d\) is much larger than the dimensions of the dipole)

1. A \(\left( {\frac{{{\mu _0}}}{{4\pi }}} \right)\frac{M}{{{{\left( {d/2} \right)}^3}}} \times {q^\upsilon }\)
2. B \(0\)
3. C \(\left( {\frac{{{\mu _0}}}{{4\pi }}} \right)\frac{2M}{{{{\left( {d/2} \right)}^3}}} \times {q^\upsilon }\)
4. D \(\sqrt 2 \left( {\frac{{{\mu _0}}}{{4\pi }}} \right)\frac{M}{{{{\left( {d/2} \right)}^3}}} \times {q^\upsilon }\)