JEE Main & Advanced Physics Current Electricity, Charging & Discharging Of Capacitors / वर्तमान बिजली, चार्ज और कैपेसिटर का निर Question Bank Grouping of Resistances

  • question_answer
    An unknown resistance R1 is connected in series with a resistance of 10 W. This combinations is connected to one gap of a metre bridge while a resistance R2 is connected in the other gap. The balance point is at 50 cm. Now, when the 10 W resistance is removed the balance point shifts to 40 cm. The value of R1 is (in ohm)                     [KCET 2004]

    A)         60                                      

    B)         40

    C)         20                                      

    D)         10

    Correct Answer: C

    Solution :

                                             For first balancing condition \[\frac{10+{{R}_{1}}}{{{R}_{2}}}=\frac{50}{50}\] Þ \[{{R}_{2}}=10+{{R}_{1}}\]. For second balancing condition \[\frac{{{R}_{1}}}{{{R}_{2}}}=\frac{40}{60}\]Þ \[\frac{{{R}_{1}}}{10+{{R}_{1}}}=\frac{2}{3}\]   Þ \[{{R}_{1}}=20\,\Omega \]


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