J & K CET Engineering J and K - CET Engineering Solved Paper-2009

  • question_answer
    When air medium in which two charges kept apart at a distance r is replaced by a dielectric medium of dielectric constant K, the force between the charges

    A)  remains unchanged

    B)  decreases K times

    C)  increases K times

    D)  increases \[{{K}^{2}}\]times

    Correct Answer: B

    Solution :

    When a dielectric medium is completely filled in between charges, rearrangement of the charges inside the dielectric medium takes place and the force between the same two charges decreases by a factor of K ie, \[{{F}_{med}}=\frac{{{F}_{air}}}{K}=\frac{1}{4\pi {{\varepsilon }_{0}}K}\,\frac{{{Q}_{1}}{{Q}_{2}}}{{{r}^{2}}}\] (Here, \[{{\varepsilon }_{0}}K={{\varepsilon }_{0}}{{\varepsilon }_{r}}=\varepsilon =\] permittivity of medium)


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