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

  • question_answer
    Area of a square is\[\text{(}100\pm 2\text{)}{{m}^{2}}\]. Its side is

    A) \[\text{(}10\pm 1\text{)}m\]

    B)  \[\text{(}10\pm 0.1\text{)}m\]

    C)  \[\text{(}10\pm \sqrt{2}\text{)}m\]

    D)  \[10\pm \sqrt{2}%\]

    Correct Answer: A

    Solution :

    [a] \[Area\text{ }=\text{ }{{\left( Length \right)}^{2}}\] \[or~~length\text{ }=\text{ }{{\left( Area \right)}^{1/2\text{ }}}=\text{ }{{\left( 100\text{ }\pm \text{ }2 \right)}^{1/2}}\] \[={{(100)}^{1/2}}\pm \frac{1}{2}\times 2=(10\pm 1)m\]


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