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1.Units, Dimensions and Measurement
medium
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
(a)
$A=(100 \pm 0.2) \,m^2$
$100=l^2 \Rightarrow l=10 \,m$
$\frac{\Delta A}{A}=\frac{2 \Delta l}{I}$
$\frac{0.2}{100}=2 \times \frac{\Delta l}{10}$
$\Rightarrow \Delta=0.01 \,m$
So, length $=(10 \pm 0.01) \,m$
Standard 11
Physics
