RAJASTHAN ­ PET Rajasthan PET Solved Paper-2012

  • question_answer
    The unit of permittivity of free space\[{{\varepsilon }_{0}}\]is

    A)  \[{{C}^{2}}/N-{{m}^{2}}\]

    B)  \[{{C}^{2}}/{{(N-m)}^{2}}\]

    C)  \[N-{{m}^{2}}/{{C}^{2}}\]

    D)  \[C/N-m\]

    Correct Answer: A

    Solution :

     We have, \[F=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{{{q}_{1}}{{q}_{2}}}{{{r}^{2}}}\] \[\Rightarrow \] \[{{\varepsilon }_{0}}=\frac{1}{4\pi F}\frac{{{q}_{1}}{{q}_{2}}}{{{r}^{2}}}\] \[=\frac{(Coulomb)\times (Coulomb)}{Newton\times {{(Metre)}^{2}}}\] \[={{C}^{2}}/N-{{m}^{2}}\]


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