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 \frac{d}{3}, initially. Suppose, the liquid level decreases at a constant speed v, the time constant as a function of time is

Correct Answer is : 6ε0R5d+3vt

{6 \\epsilon_{0} R}/{5 d+3 v t}

{(15 d+9 v t) \\epsilon_{0} R}/{2 d^{3}-3 d v t-g v^{2} t^{2}}

{6 \\epsilon_{0} R}/{5 d-3 v t}

{(15 d-9 v t) \\epsilon_{0} R}/{2 d^{3}+3 d v t-g v^{2} t^{2}}

BITSAT 2018 Slot 2 Solved Paper

Section: Physics

Question : 2 of 150

Marks: +1, -0

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

, initially. Suppose, the liquid level decreases at a constant speed v, the time constant as a function of time is

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