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Chapter 1: Q9. (page 18)

What, approximately, is the percent uncertainty for a measurement given as1.57m2?

Short Answer

Expert verified

The correct answer of percent uncertainty is 0.6%.

Step by step solution

01

Writing the given data

The uncertainty in measurement is defined as the variation of the values that are assigned to a particular quantity.

The data given is A1=1.57m2.

The uncertainty in measurement is A2=0.01m2.

02

Writing the formula of percent error

The formula of percent error is:

∆A=A2A1×100% ....... (i)

03

Calculating the percent uncertainty

From equation (i), the percent uncertainty is

∆A=0.011.57×100%∆A=0.6369%∆A≈0.6%

Thus, the final value of multiplication is 0.6%.

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