A public park, in form of a square, has an area of (100 pm 0.2) m ^2 . side of park is ............

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1.Units, Dimensions and Measurement

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A public park, in the form of a square, has an area of $(100 \pm 0.2)\; m ^2$. The side of park is ............ $m$

A

$(10 \pm 0.01)$

B

$(10 \pm 0.1)$

C

$(10 \pm 0.02)$

D

$(10 \pm 0.2)$

Solution

Let the side length of the square park is 1 . The area of a square is given as,

$A=1^2$

$100=1^2$

$1=10\,m$

The error in length is given as,

$\frac{\Delta A }{ A }=2 \frac{\Delta l }{1}$

$\frac{0.2}{100}=2 \frac{\Delta l }{10}$

$\Delta l =0.01\,m$

Thus, the side of the park is $(10 \pm 0.01)\,m$.

Standard 11

Physics

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