Two identical short bar magnets, each having magnetic moment of \[10\,A{{m}^{2}}\], are arranged such that their axial lines are perpendicular to each other and their centres be along the same straight line in a horizontal plane. If the distance between their centres is 0.2 m, the resultant magnetic induction at a point midway between them is \[({{\mu }_{0}}=4\pi \times {{10}^{-7}}\,H{{m}^{-1}})\]

• A. \[\sqrt{2}\times {{10}^{-7}}\,tesla\]
• B. \[\sqrt{5}\times {{10}^{-7}}\,tesla\]
• C. \[\sqrt{2}\times {{10}^{-3}}\,tesla\]
• D. \[\sqrt{5}\times {{10}^{-3}}\,tesla\]