NEET Sample Paper NEET Sample Test Paper-85

  • question_answer
    The voltage time (V-t) graph for triangular wave having peak value \[{{V}_{0}}\] is as shown in figure. The rms value of V in time interval from t = 0 to T/4 is \[\frac{{{V}_{0}}}{\sqrt{x}}\]then find the value of x.

    A) 5                     

    B)        4

    C) 7                     

    D)        3

    Correct Answer: D

    Solution :

    [d] \[V=\frac{{{V}_{0}}}{T/4}t\]\[\Rightarrow \]\[V=\frac{4{{V}_{0}}}{T}t\] \[\Rightarrow {{V}_{rms}}=\sqrt{<{{v}^{2}}>}=\frac{4{{V}_{0}}}{T}\sqrt{<{{t}^{2}}>}\] \[=\frac{4{{V}_{0}}}{T}{{\left\{ \frac{\int\limits_{0}^{T/4}{{{T}^{2}}dt}}{\int\limits_{0}^{T/4}{dt}} \right\}}^{1/2}}=\frac{{{V}_{0}}}{\sqrt{3}}\]


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