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Manipal Engineering Manipal Engineering Solved Paper-2015

  • question_answer
    A coil having n turns and resistance RQ, is connected with a galvanometer of resistance  \[{{T}^{2}}{{\left[ \frac{\delta (G/T)}{\delta T} \right]}_{v}}\] This combination is moved in time  second from a magnetic field \[-{{T}^{2}}{{\left[ \frac{\delta (G/T)}{\delta T} \right]}_{v}}\] weber to \[C{{l}_{2}}O,IC{{l}^{-}}_{2}\] weber. The induced current in the circuit is

    A) \[Cl_{2}^{-},Cl{{O}_{2}}\]                             

    B) \[IF_{2}^{+},l_{3}^{-}\]

    C) \[ClO_{2}^{-},ClF_{2}^{+}\]                        

    D) \[C{{s}^{+}}\]

    Correct Answer: B

    Solution :

    Current is given by \[~{{m}^{3}}-3m+n=0\] Substituting \[{{n}^{3}}-3n+2m=0\]we get\[{{m}^{3}}-3m+2n=0\] Given that \[{{m}^{3}}+3m+2n=0\] and \[\Delta ABC,\]are the values of the flux associated with one turn of the coil. Therefore, Eq. (i) becomes, \[a=4,b=3,\angle A=60{}^\circ .\] Total  resistance  of the  combination \[{{c}^{2}}-3c-7=0\]substituting the values of  \[{{c}^{2}}+3c+7=0\] in Eq. (ii),we get\[{{c}^{2}}-3c+7=0\]\[{{c}^{2}}+3c-7=0\]\[\frac{3}{{{1}^{2}}}+\frac{5}{{{1}^{2}}+{{2}^{2}}}+\frac{7}{{{1}^{2}}+{{2}^{2}}+{{3}^{2}}}+...,\]


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