JEE Main & Advanced Physics Mathematical Tools, Units & Dimensions Question Bank Self Evaluation Test - Physical World, Units and Measurements

  • question_answer
    In a simple pendulum experiment, the maximum percentage error in the measurement of length is 2% and that in the observation of the time- period is 3%. Then the maximum percentage error in determination of the acceleration due to gravity g is

    A) 5%

    B)  6%  

    C)  1%

    D)  8%

    Correct Answer: D

    Solution :

    [d] As we know, time period of a simple pendulum \[T=2\pi \sqrt{\frac{L}{g}\Rightarrow g=\frac{4{{\pi }^{2}}L}{{{T}^{2}}}}\] The maximum percentage error in g \[\frac{\Delta g}{g}\times 100=\frac{\Delta L}{L}\times 100+2\left( \frac{\Delta T}{T}\times 100 \right)\] \[=2%+2(3%)=8%\]


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