Two magnets A and B are identical and these are arranged as shown in the figure. Their length is negligible in comparison to the separation between them. A magnetic needle is placed between the magnets at point P which gets deflected through an angle \[\theta \] under the influence of magnets. The ratio of distance \[{{d}_{1}}\] and \[{{d}_{2}}\] will be

• A.            \[{{(2\tan \theta )}^{1/3}}\]  
• B.            \[{{(2\tan \theta )}^{-1/3}}\]
• C.            \[{{(2\cot \theta )}^{1/3}}\]
• D.            \[{{(2\cot \theta )}^{-1/3}}\]