Question

The long side of a rectangular area is measured at 100 m ± 10% and the short at 4 m ± 1%. What is the uncertainty of the area with a nominal value of 400 m2? 

          The long side of a rectangular area is measured at 100 m ± 10% and the short at 4 m ± 1%. What is the uncertainty of the area with a nominal value of 400 m2?

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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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The long side of a rectangular area is measured at 100 m ± 10% and the short at 4 m ± 1%. What is the uncertainty of the area with a nominal value of 400 m2?
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Transcript

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00:01 Hello students, today we will discuss about this question.
00:04 In this question we are given that suppose i measure the length and width of the rectangle.
00:10 Let l that is equals to 4 plus or a minus 1 meter and width w that is equal to 10 plus or a minus 2 meter.
00:23 Then here what is the uncertainly, that is non -fractional uncertainly.
00:31 Area of the rectangle so here we need to find the area of rectangle that is equals to question mark and here we are given for option option a that is 27 meter square option b is 4 meters square option c that is 0 .3 meters square and option d that is 13 meter square so here first of all the area of rectangle that is computed as a is equals to l multiplied by w.
01:12 So here the area is computed here as the product of the length and the width.
01:18 Now taking the derivation on the both sides, so therefore we have, that is delta a is equal to l multiplied by delta w plus w multiplied by delta l...
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