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

  • question_answer
    Two resistors are connected  in series  in parallel. The equivalent resistance in the two cases are 9\[ohm\] and 2\[ohm\] respectively. Then the resistances of the component resistors are                                                           [CPMT 1984]

    A)                    2\[ohm\] and 7\[ohm\]  

    B)            3\[ohm\] and 6\[ohm\]

    C)                    3\[ohm\] and 9\[ohm\]  

    D)            5\[ohm\] and 4\[ohm\]

    Correct Answer: B

    Solution :

                 \[{{R}_{1}}+{{R}_{2}}=9\] and \[\frac{{{R}_{1}}{{R}_{2}}}{{{R}_{1}}+{{R}_{2}}}=2\] Þ \[{{R}_{1}}{{R}_{2}}=18\]  \[{{R}_{1}}-{{R}_{2}}=\sqrt{{{({{R}_{1}}+{{R}_{2}})}^{2}}-4{{R}_{1}}{{R}_{2}}}=\sqrt{81-72}=3\]  \[{{R}_{1}}=6\Omega ,\,{{R}_{2}}=3\Omega \]


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