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A parallel plate capacitor C with plates...

A parallel plate capacitor C with plates of unit area and separation d is filled with a liquid of dielectric constant `K=2`. The level of liquid is `d//3` initially. Suppose the liquid level decreases at a constant speed v, the time constant as a function of time t is-

A

`(6 in_0 R)/(5d+3 vt)`

B

`((15d+9vt) in_0 R)/(2d^2-3dvt-9v^2t^2)`

C

`(6 in_0 R)/(5d-3 vt)`

D

`((15d-9vt) in_0 R)/(2d^2+3dvt-9v^2t^2)`

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