For a solenoid keeping the turn density constant its length is halved and its cross section radius is doubled then the inductance of the solenoid increased by.....$\%$
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$\mathrm{L}=\mu_{0} \mathrm{n}^{2} \mathrm{A} \ell$
$A^{\prime}=4 A$
$\mathrm{i}=\ell / 2$
${{\text{L}}^\prime } = {\mu _0}{{\text{n}}^2}4{\text{A}}\quad \ell /2 = 2{\text{L}}$
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