MGIMS WARDHA MGIMS WARDHA Solved Paper-2009

  • question_answer
    If there is no deflection in the galvanometer connected in a circuit shown in figure, then the ratio of lengths AC/CB is

    A)  4 : 1                                      

    B)  1 : 4

    C)  1:1                                        

    D)  2 : 1

    Correct Answer: A

    Solution :

                     Let\[AC={{l}_{1}},CB={{l}_{2}}\]and r the resistance per unit length of wire AB. As there is no current in galvanometer G, the resistance 60 Q, 15 0, AC and CB form the arms of a balanced Wheatstone's bridge \[\therefore \]  \[\frac{P}{Q}=\frac{R}{S}\] \[\Rightarrow \]               \[\frac{60}{15}=\frac{r\times {{l}_{1}}}{r\times {{l}_{2}}}\] Or           \[\frac{{{l}_{1}}}{{{l}_{2}}}=\frac{4}{1}\]


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