A 10 cm long bar magnet of magnetic moment \[1.34\,A{{m}^{2}}\] is placed in the magnetic meridian with its south pole pointing geographical south. The neutral point is obtained at a distance of 15 cm from the centre of the magnet. Calculate the horizontal component of earth's magnetic field.

• A. \[0.12\times {{10}^{-4}}\,T\]    
• B.        \[0.21\times {{10}^{-4}}T\]
• C. \[0.34\times {{10}^{-4}}T\]      
• D. \[0.87\times {{10}^{-7}}T\]