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

  • question_answer
    Diameter of a steel ball is measured using a Vernier callipers which has divisions of cm on its main scale (MS) and 10 divisions of its vernier scale (VS) match 9 divisions on the main scale. Three such measurements for a ball are given as: [JEE ONLINE 10-04-2015]
    S. No. MS (cm) VS divisions
    1. 0.5 8
    2. 0.5 4
    3. 0.5 6
    If the zero error is –0.03 cm, then mean corrected diameter is:

    A) 0.56 cm

    B) 0.53 cm

    C) 0.52 cm

    D) 0.59 cm

    Correct Answer: D

    Solution :

    [d] \[\overline{x}=\frac{{{x}_{1}}+{{x}_{2}}+{{x}_{3}}}{3}\]
    \[=\frac{0.58+0.54+0.56}{3}\]
    \[\overline{x}=0.56\] so value = 0.56 + error
    = 0.56 + 0.03
    = 0.59 cm


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