AMU Medical AMU Solved Paper-2007

  • question_answer
    Time period of a simple pendulum is T. If its length increases by 2%, the new time period becomes

    A)  0.98 T                                  

    B)  1.02 T

    C)  0.99 T                                  

    D)  1.01 T

    Correct Answer: D

    Solution :

                                    \[T\propto {{d}^{-1/2}}\] \[\Rightarrow \]               \[\frac{\Delta T}{T}=\frac{1}{2}\left( \frac{\Delta l}{l} \right)\]                 \[\frac{\Delta T}{T}=\frac{1}{2}\left( 2% \right)=1%\] \[\Rightarrow \]               \[\frac{T-T}{T}=\frac{1}{100}\] \[\Rightarrow \]               \[T=T+0.01\,T\] \[\Rightarrow \]               \[T=1.01\,T\]


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