Physics

# The breadth of a thin rectangular sheet is measured as $10.1\ cm$. The approximate error in the measurement is

$\pm 1\%$

##### SOLUTION
The measurement of any physical quantity by any measuring instrument contains some uncertainity, this uncertainity is called error.

Here the uncertainity digit is $0.1$

So the length can be $9.9, 10.0\, or\, 10.1...$

Taking average value, we get $10.0$

Now we can calculate the percentage error as,

$Percentage\,error=\dfrac{Uncertainity \,digit}{Average\,value}\times 100$

$=\dfrac{0.1}{10}\times 100=1 \%$

The error value can be positive or negative. So,

Approximate error $=\pm 1\%$

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Single Correct Medium Published on 18th 08, 2020
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