A solenoid of length \(20 \text{ cm}\), area of cross section \(4 \text{ cm}^{2}\) and having 4000 turns is placed inside another solenoid of 2000 turns having cross sectional area \(8 \text{ cm}^{2}\) and length \(10 \text{ cm}\). Find the mutual inductance between both the solenoids in henries.

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