There are two long co -axial solenoids of same length \(l.\) The inner and outer coils have radii \(r_1\) and \(r_2\) and number of turns per unit length \(n_1\) and \(n_2\) respectively. The ratio of mutual inductance to the self -inductance of the inner -coil is

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Correct Answer

(D) \(\frac{{{n_2}}}{{{n_1}}}\)

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Detailed explanation

\(\ \frac{M}{L} =\frac{\mu_{0} n n_{1} n_{2} n_{1}^{2} \ell}{\mu_{0} \pi n_{1}^{2} r_{1}^{2} \ell}\)

\(=\frac{n_{2}}{n_{1}}\)

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