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

  • question_answer
    The period of oscillation of a simple pendulum in the experiment is recorded as 2.63 s, 2.56 s, 2.42 s, 2.71 s and 2.80 s respectively. The average absolute error is   

    A)            0.1 s                                          

    B)            0.11 s

    C)            0.01 s                                       

    D)            1.0 s

    Correct Answer: B

    Solution :

                    Average value \[=\frac{2.63+2.56+2.42+2.71+2.80}{5}\]                                    \[=2.62\,\sec \]               Now  \[|\Delta {{T}_{1}}|\,=\,2.63-2.62=0.01\]               \[|\Delta {{T}_{2}}|\,=\,2.62-2.56=0.06\]               \[|\Delta {{T}_{3}}|\,=\,2.62-2.42=0.20\]               \[|\Delta {{T}_{4}}|\,=\,2.71-2.62=0.09\]               \[|\Delta {{T}_{5}}|\,=\,2.80-2.62=0.18\]               Mean absolute error               \[\Delta T=\frac{|\Delta {{T}_{1}}|+|\Delta {{T}_{2}}|+|\Delta {{T}_{3}}|+|\Delta {{T}_{4}}|+|\Delta {{T}_{5}}|}{5}\]\[=\frac{0.54}{5}=0.108\,=0.11sec\]


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