Assertion :When number of turns in a coil is doubled, coefficient of self-inductance of the coil becomes 4 times. Reason: This is because $L α N^{2} .$

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Both Assertion and Reason are incorrect

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Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
An inductor, also called a coil, choke or reactor, is a passive two-terminal electrical component that stores energy in a magnetic field when electric current flows through it. An inductor typically consists of an insulated wire wound into a coil around a core.
$L \propto \frac{N^{2}}{l}$
where N is number of turns and L is distance.
When number of turns in a coil is doubled, $L \propto (2 N)^{2} = 4 N^{2}$
Assertion and Reason are correct and Reason is the correct explanation for Assertion

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