A) half
B) double
C) 1/4 times
D) quadruple
Correct Answer: D
Solution :
For a solenoid of length\[l\], area of cross-section \[A\], having \[N\] closely wound turns, the self-inductance of the solenoid is \[L=\frac{{{\mu }_{0}}{{N}^{2}}A}{l}\] When \[N=2N\] \[L=\frac{{{\mu }_{0}}{{(2N)}^{2}}A}{l}=\frac{4{{\mu }_{0}}{{N}^{2}}A}{l}=4L\] Hence, when number of turns is doubled then self-inductance becomes quadruple.
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