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

137-12

  • A

    ${(2\tan \theta )^{1/3}}$

  • B

    ${(2\tan \theta )^{ - 1/3}}$

  • C

    ${(2\cot \theta )^{1/3}}$

  • D

    ${(2\cot \theta )^{ - 1/3}}$

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