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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2011

  • question_answer
        potential of 500 V is observed near the surface with\[V=0\]at infinity). If two such drops of the same charge and radius combine to form a single spherical drop, the potential at the surface at the new drop?

    A)  590V                                    

    B)  690V

    C)  790V                                    

    D)  890V

    Correct Answer: C

    Solution :

                    After combination of drops \[{{(R)}^{3}}=2{{R}^{3}}\] \[R={{2}^{1/3}}R\] \[q=2q\] Thus,     \[V=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{q}{R}\]                 \[=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{2q}{{{2}^{1/3}}R}={{2}^{2/3}}V\]                 \[={{2}^{2/3}}(500)=790\,V\]


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