Uttarakhand PMT Uttarakhand PMT Solved Paper-2008

  • question_answer
    Each of the two point charges are doubled and their distance is halved. Force of interaction becomes n times, where n is

    A)  4             

    B)  1

    C)  1/16          

    D)  16

    Correct Answer: D

    Solution :

     From the formula, \[F=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{{{q}_{1}}{{q}_{2}}}{{{r}^{2}}}\] \[F=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{2{{q}_{1}}\times 2{{q}_{2}}}{{{(r/2)}^{2}}}\] \[=\frac{4}{1/4}F\] \[\Rightarrow \] \[F=16F\] \[\Rightarrow \] \[nF=16F\] \[\therefore \] \[n=16\]


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