JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2009

  • question_answer
        Two charged conducting spheres of radii\[{{R}_{1}}\] and\[{{R}_{2}},\]separated by a large distance, are connected by a long wire. The ratio of the charges on, them is

    A)  \[\frac{{{R}_{1}}}{{{R}_{2}}}\]                                   

    B)  \[\frac{{{R}_{2}}}{{{R}_{1}}}\]

    C)  \[\frac{R_{1}^{2}}{R_{2}^{2}}\]                                

    D)  \[\frac{R_{2}^{2}}{R_{1}^{2}}\]

    Correct Answer: A

    Solution :

                    When connected by a long wire then \[\frac{{{Q}_{1}}}{{{Q}_{2}}}=\frac{{{C}_{1}}V}{{{C}_{2}}V}=\frac{4\pi {{\varepsilon }_{0}}{{R}_{1}}V}{4\pi {{\varepsilon }_{0}}{{R}_{2}}V}\] \[\Rightarrow \]               \[\frac{{{Q}_{1}}}{{{Q}_{2}}}=\frac{{{R}_{1}}}{{{R}_{2}}}\]


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