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AIIMS AIIMS Solved Paper-2002

  • question_answer
    A conducting sphere of radius 10 cm is charged with 10 \[=\frac{Force}{Length}=\frac{[ML{{T}^{-2}}]}{[L]}=[M{{T}^{-2}}]\]C. Another uncharged sphere of radius 20 cm is allowed to touch it for some time. After that if the spheres are separated, then surface density of charges on the spheres will be in the ratio of:

    A)  1 : 1  

    B)                                        4 : 1                                      

    C)  1 : 3                                      

    D)  1 : 4

    Correct Answer: B

    Solution :

    Key Idea: When one charged and other uncharged conducting spheres are in contact then charge on each sphere is half the charge on first charged sphere. When both the spheres are placed in contact with each other, the charge on each, \[{{m}_{1}}=1.5kg\] Surface charge density is given by \[{{k}_{1}}\] Hence,     \[{{y}_{1}}\] and      \[{{k}_{2}}\] \[{{y}_{2}}\]  \[y={{y}_{1}}+{{y}_{2}}\]


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