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JEE Main & Advanced Physics Mathematical Tools, Units & Dimensions JEE PYQ - Mathematical Tools Units and Dimensions

  • question_answer
    A student measures the time period of 100 oscillations of a simple pendulum four times. The data set is 90 s, 91 s, 95 s and 92 s. If the minimum division in the measuring clock is 1 s, then the reported mean time should be:-                         [JEE MAIN - I 3-4-2016]         

    A) 92 ± 3 s

    B) 92 ± 2 s

    C) 92 ± 5.0 s

    D) 92 ± 1.8 s

    Correct Answer: B

    Solution :

    [b] \[{{T}_{AV}}=92s\]
    \[{{(|\Delta T|)}_{mean}}=1.5s\]since uncertainity is 1.5 s
    so digit 2 in 92 is uncertain.
    so reported mean time should be 92 ± 2
    Ref: NCERT (XIth) Ex. 2.7, Page. 25


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