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Question

A parallel plate air condenser has a capacity ‘C’. When the plate separation is halved and a dielectric of constant k is inserted, new capacitance is found to be 12C. The value of dielectric constant ‘k’ is?

A
12
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B
24
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C
6
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D
3
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Solution

The correct option is C 6
C=ϵ0Ad;C1=kϵ0A(d2)
C1C=2k;
12=2k; k=122=6

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