There are two long coaxial solenoids of the 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

  • A
    $\frac{n_1}{n_2}$
  • B
    $\frac{n_2}{n_1} \cdot \frac{r_1}{r_2}$
  • C
    $\frac{n_2}{n_1} \cdot \frac{r_2^2}{r_1^2}$
  • D
    $\frac{n_2}{n_1}$

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