Two coaxial solenoids are made by winding thin insulated wire over a pipe of cross-sectional area $A=$ $10\,\,c{m^2}$ and length $=20$ $cm$ . If one of the solenoid has $300$ turns and the other $400$ turns, their mutual inductance is $\left( {{\mu _0} = 4\pi \times {{10}^{ - 7}}\,Tm\,{A^{ - 1}}} \right)$
$2.4\pi \times {10^{ - 5}}H$
$4.8\pi \times {10^{ - 4}}H$
$4.8\pi \times {10^{ - 5}}H$
$2.4\pi \times {10^{ - 4}}H$
Solution
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