A copper wire is wound on a wooden frame, whose shape is that of an equilateral triangle. If the...

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A copper wire is wound on a wooden frame, whose shape is that of an equilateral triangle. If the linear dimension of each side of the frame is increased by a factor of 3 , keeping the number of turns of the coil per unit length of the frame the same, then the self inductance of the coil [JEE (Main) 2019]
(a) Increases by a factor of 3
(b) Decreases by a factor of \( 9 \sqrt{3} \)
(c) Increases by a factor of 27
(d) Decreases by a factor of 9
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