A current $I=20\sin \left(100\pi t\right) \mathrm{A}$ is passed in the first coil, which induces a maximum $\mathrm{emf}$ of $10\pi \mathrm{V}$ in the second coil. The mutual inductance for the pair of coils is

• A

  $10\mathrm{ }\mathrm{m}\mathrm{H}$
• B

  $15\mathrm{ }\mathrm{m}\mathrm{H}$
• C

  $25\mathrm{ }\mathrm{m}\mathrm{H}$
• Correct answer
  D

  $5\mathrm{ }\mathrm{m}\mathrm{H}$

Hence, the correct answer is option: 'D'.