AIIMS AIIMS Solved Paper-2015

  • question_answer
    Assertion (A) If the frequency of the applied AC is doubled, then the power factor of a series R'L circuit decreases. Reason (R) Power factor of series R-L circuit is given by \[\theta =\frac{2R}{\sqrt{{{R}^{2}}+{{\omega }^{2}}{{L}^{2}}}}\] Each of these questions contains two statements. Assertion and Reason. Each of these questions also has four alternative choices, only one of-which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.

    A) If both Assertion and Reason are true and Reason is correct explanation of Assertion.

    B) If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.

    C) If Assertion is true but Reason is false.

    D) If both Assertion and Reason are false.

    Correct Answer: C

    Solution :

    Power factor of series R-L circuit is given by \[[{{M}^{2}}{{L}^{2}}{{l}^{-1}}{{T}^{-2}}]\] when frequency becomes double \[[M{{L}^{3}}{{l}^{1}}{{T}^{-3}}]\]                 \[[M{{L}^{-3}}{{l}^{-1}}{{T}^{-3}}]\]                          \[\sqrt{\frac{{{M}_{p}}}{{{M}_{e}}}}\]


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