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CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2005

  • question_answer
    Resistors P and Q are connected in the gaps of the meter bridge. The balancing point is obtained\[\frac{1}{3}\]m from the zero end. If a\[6\,\Omega \]resistance is connected in series with P the balance point shifts to\[\frac{2}{3}\]m from the same end. P and Q are:

    A)  4, 2

    B)  2, 4

    C)  both (a) and (b)

    D)  neither (a) nor (b)

    E)  unpredictable

    Correct Answer: B

    Solution :

    \[\frac{P}{Q}=\frac{1/3}{1-1/3}=\frac{1/3}{2/3}\] \[\Rightarrow \]               \[P:Q=1:2\]                 \[p=k,Q=2k\]                 \[\frac{P+6}{Q}=\frac{\frac{2}{3}}{1-\frac{2}{3}}\] \[\Rightarrow \]               \[\frac{P+6}{Q}=\frac{2}{1}\]                 \[\frac{k+6}{2k}=\frac{2}{1}\] \[\Rightarrow \]               \[k+6=4k\] \[\Rightarrow \]               \[k=2\] \[\therefore \]  \[P=2\,\Omega ,\,Q=4\,\Omega \]


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