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JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Capacitance

  • question_answer
    An air filled parallel plate capacitor has capacity C. If distance between plates is doubled and it is immersed in a liquid then capacity becomes twice. Dielectric constant of the liquid is                                                [BCECE 2004]

    A)                    1

    B)                                      2

    C)                    3                                        

    D)            4

    Correct Answer: D

    Solution :

               \[C=\frac{{{\varepsilon }_{0}}A}{d}\]   ......(i) \[C'=\frac{{{\varepsilon }_{0}}KA}{2d}\]  ......(ii) From equation (i) and (ii) \[\frac{C'}{C}=\frac{K}{2}\] Þ \[2=\frac{K}{2}\,\,\Rightarrow K=4\]


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