The length and breadth of a thin rectangular sheet, measured using a metre scale, are 18.2 cm and 14.5 cm respectively.
Find the uncertainty or error in the estimation of the area of the rectangular sheet.
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mathslover (mathslover):
@UnkleRhaukus @hartnn
mathslover (mathslover):
@harsh314
OpenStudy (anonymous):
18.2 +/-0.1 or 14.5+/- 0.1
that's the least count
mathslover (mathslover):
Yes but my small (may be silly) , why 0.1 there?
hartnn (hartnn):
because the least count of meter scale is 0.1 cm
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mathslover (mathslover):
Yes I got it now... thanks @hartnn
mathslover (mathslover):
So it will be :
\[\large{\frac{0.1}{18.2}\pm \frac{0.1}{14.5}}\]
mathslover (mathslover):
as :
\[\large{\delta Z = \frac{\delta A}{A} +\frac{\delta B}{\B}}\]
mathslover (mathslover):
\[\large{\delta Z = \frac{\delta A}{A} +\frac{\delta B}{B}}\]
mathslover (mathslover):
correct ? As we were talking about multiplication so the applied formula will be mentioned above
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hartnn (hartnn):
not sure what u wrote is correct(dimensions not matching).....which reference did u use ?