Two identical short bar magnets, each having magnetic moment M, are placed a distance of 2d apart with axes perpendicular to each other in a horizontal plane. The magnetic induction at a point midway between them is [IIT-JEE (Screening) 2000]

• A.            \[\frac{{{\mu }_{0}}}{4\pi }(\sqrt{2})\frac{M}{{{d}^{3}}}\] 
• B.            \[\frac{{{\mu }_{0}}}{4\pi }(\sqrt{3})\frac{M}{{{d}^{3}}}\] 
• C.            \[\left( \frac{2{{\mu }_{0}}}{\pi } \right)\,\frac{M}{{{d}^{3}}}\]       
• D.            \[\frac{{{\mu }_{0}}}{4\pi }(\sqrt{5})\frac{M}{{{d}^{3}}}\]