CET Karnataka Medical CET - Karnataka Medical Solved Paper-2000

  • question_answer
    Two insulated metallic spheres of capacitances 3 \[\mu \]F and 5\[\mu \]F are charged to 300 volts and 500 volts respectively. The energy loss when they are connected by a wire is:

    A)  0.035 J

    B)  1.5 J

    C)   3.75 J

    D)  0.0375 J

    Correct Answer: D

    Solution :

     Energy loss when the spheres are connected by wire is given by \[\Delta U=\frac{{{C}_{1}}{{C}_{2}}}{2({{C}_{1}}+{{C}_{2}})}{{({{V}_{1}}-{{V}_{2}})}^{2}}\] \[=\frac{(3\times {{10}^{-6}})\times (5\times {{10}^{-6}})}{2(3+5){{10}^{-6}}}{{(300-500)}^{2}}\] \[=\frac{15}{16}\times 4\times {{10}^{-2}}\]\[=0-0375\]joule


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