RAJASTHAN PMT Rajasthan - PMT Solved Paper-1999

  • question_answer
    If length of a simple pendulum increases by 300%, then its time period increases by:

    A)  100%                   

    B)         200%                   

    C)  300%                   

    D)         400%

    Correct Answer: A

    Solution :

    Tune period\[{{T}_{1}}=2\pi \sqrt{\frac{l}{g}}\] If length is increased by 300% \[{{T}_{2}}=2\pi \sqrt{\frac{l+3l}{g}}\]             \[{{T}_{2}}-2{{T}_{1}}\] % increase in time period \[\begin{align}   & =\frac{{{T}_{2}}-{{T}_{1}}}{{{T}_{1}}}\times 100 \\  & =100% \\ \end{align}\]


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