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JEE Main & Advanced Physics Current Electricity, Charging & Discharging Of Capacitors / वर्तमान बिजली, चार्ज और कैपेसिटर का निर Question Bank Different Measuring Instruments

  • question_answer
    In Wheatstone's bridge \[P=9\]ohm, \[Q=11\]ohm, \[R=4\]ohm and \[S=6\]ohm. How much resistance must be put in parallel to the resistance \[S\] to balance the bridge                                                                                              [DPMT 1999]

    A)                    24 ohm                           

    B)            \[\frac{44}{9}\]ohm

    C)                    26.4 ohm                        

    D)            18.7 ohm

    Correct Answer: C

    Solution :

                 \[\frac{P}{Q}=\frac{R}{{{S}'}}\] (For balancing bridge) Þ \[{S}'=\frac{4\times 11}{9}=\frac{44}{9}\] Þ \[\frac{1}{{{S}'}}=\frac{1}{r}+\frac{1}{6}\]  Þ \[\frac{9}{44}-\frac{1}{6}=\frac{1}{r}\]            Þ \[r=\frac{132}{5}=26.4\,\Omega \]


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