RAJASTHAN ­ PET Rajasthan PET Solved Paper-2011

  • question_answer
    Two metal spheres of radii\[{{r}_{1}}\]and\[{{r}_{2}}\]are charged to the same potential. The ratio of the charge on the two spheres is

    A)  1                

    B)  \[\frac{1}{2}\]

    C)  \[{{r}_{1}}-{{r}_{2}}\]          

    D)  \[{{r}_{1}}/{{r}_{2}}\]

    Correct Answer: D

    Solution :

     We know that the potential for a metal sphere \[V=k\frac{q}{r}\] According to the question \[{{V}_{1}}=k\frac{{{q}_{1}}}{{{r}_{1}}}\] and \[{{V}_{1}}=k\frac{{{q}_{2}}}{{{r}_{2}}}\] as \[{{V}_{1}}={{V}_{2}}\] \[k\frac{{{q}_{1}}}{{{r}_{1}}}=k\frac{{{q}_{2}}}{{{r}_{2}}}\] \[\frac{{{q}_{1}}}{{{r}_{2}}}=\frac{{{r}_{1}}}{{{r}_{2}}}\]


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