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(C) The self-inductance $L$ of a solenoid is given by the formula $L = \mu_0 n^2 A l$,where $n$ is the number of turns per unit length,$A$ is the cros

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become $9$ times

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(C) The self-inductance $L$ of a solenoid is given by the formula $L = \mu_0 n^2 A l$,where $n$ is the number of turns per unit length,$A$ is the cross-sectional area,and $l$ is the length of the solenoid.Since $L \propto n^2$,if the number of turns per unit length $n$ is tripled $(n' = 3n)$,the new self-inductance $L'$ will be:$L' = \mu_0 (3n)^2 A l = 9 (\mu_0 n^2 A l) = 9L$.Therefore,the self-inductance becomes $9$ times the original value.

If the number of turns per unit length in a solenoid is tripled,the self-inductance of the solenoid will

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