NEET Physics Mathematical Tools, Units & Dimensions Question Bank Errors of Measurement

  • question_answer
    If there is a positive error of 50% in the measurement of velocity of a body, then the error in the measurement of kinetic energy is 

    A)            25%                                          

    B)            50%

    C)            100%                                       

    D)            125%

    Correct Answer: D

    Solution :

               Kinetic energy \[E=\frac{1}{2}m{{v}^{2}}\]               \[\therefore \,\,\,\frac{\Delta E}{E}\times 100=\frac{{{{{v}'}}^{2}}-{{v}^{2}}}{{{v}^{2}}}\times 100\]               \[=[{{(1.5)}^{2}}-1]\times 100\]            \[\therefore \,\,\frac{\Delta E}{E}\times 100=125%\]


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