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← JEE Main 2022 · 28 Jul · Shift 1
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JEE Main 2022 · 28 Jul · Shift 1, Physics question 40

Two capacitors, each having capacitance 40 μF are connected in series. The space between one of the capacitors is filled with dielectric material of dielectric constant K such that the equivalence capacitance of the system became 24 μF. The value of K will be :

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Answer and worked solution

Official answer: A

Series. 124=140+140K\frac1{24}=\frac1{40}+\frac1{40K}, so 140K=160\frac1{40K}=\frac1{60} and K=1.5K=1.5.

(A)