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Electrostatics question

2008 · Shift 2 · Q53
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Electrostatics question

2008 · Shift 2 · Q53

JEE AdvancedPhysicsElectrostaticsMCQ+3 / −1
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 d3\frac{d}{3}3d​ initially. Suppose the liquid level decreases at a constant speed V, the time constant as a function of time t is: IIT-JEE 2008 Paper 2 Offline Physics - Electrostatics Question 19 English
  1. A
    6ε0R5d+3Vt{{6{\varepsilon _0}R} \over {5d + 3Vt}}5d+3Vt6ε0​R​
  2. B
    (15d+9Vt)ε0R2d2−3dVt−9V2t2{{(15d + 9Vt){\varepsilon _0}R} \over {2{d^2} - 3dVt - 9{V^2}{t^2}}}2d2−3dVt−9V2t2(15d+9Vt)ε0​R​
  3. C
    6ε0R5d−3Vt{{6{\varepsilon _0}R} \over {5d - 3Vt}}5d−3Vt6ε0​R​
  4. D
    (15d−9Vt)ε0R2d2+3dVt−9V2t2{{(15d - 9Vt){\varepsilon _0}R} \over {2{d^2} + 3dVt - 9{V^2}{t^2}}}2d2+3dVt−9V2t2(15d−9Vt)ε0​R​
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