JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2004

  • question_answer
        As shown m fig if the point C is earthed and the point A is given a potential of 2000 volt then the potential at point B will be :

    A)  400 V                                   

    B)  500 V

    C)  1000 V                                 

    D)  1300 V

    Correct Answer: B

    Solution :

                    Equivalent capacitance between B and C is \[\text{5}.\text{54}\times \text{1}{{0}^{-\text{7}}}\text{rad}\] Now equivalent capacitance between A and C is                                 \[\text{2}.\text{54}\times \text{1}{{0}^{-\text{4}}}\text{ rad}\]                                 \[\text{6}.\text{54}\times \text{1}{{0}^{-\text{7}}}\text{rad}\] Charge on condenser of capacity \[\alpha =\text{4},\beta =\text{6}~~~~\] is \[\alpha =\text{5},\beta =\text{5}\]                                 \[\alpha =\text{6},\beta =\text{4}\] (since, potential at the point C will be zero) Now   potential   difference   across condenser of \[\alpha =\text{6},\beta =\text{6}\] is \[[M{{L}^{2}}{{T}^{-2}}{{\theta }^{-1}}]\] \[[{{M}^{2}}L{{T}^{-2}}\theta ]\] \[[M{{L}^{3}}{{T}^{-1}}{{\theta }^{-1}}]\]                 As           \[\frac{6}{\sqrt{2}}\]                 Hence, \[6\sqrt{2}\]                 Charge on nucleus                                                 \[\text{2}.\text{34 se}{{\text{c}}^{\text{-1}}}\]                                 \[\text{S}{{\text{O}}_{\text{2}}}\] Potential at the surface of the nucleus   \[\text{N}{{\text{H}}_{3}}\] \[{{\text{H}}_{\text{2}}}\] \[\text{C}{{\text{O}}_{\text{2}}}\]


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