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The measured mass and volume of a body a...

The measured mass and volume of a body are 2.42 g and 4.7 `cm^3` respectively with possible errors 0.01 g and 0.1 `cm^3`. Find the maximum error in density.

Text Solution

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Mass,m=2.42g, Error, `Deltam=0.01g.`
Volume, `V=4.7 cm^3` ,Error , `DeltaC=0.1cc.` ,
% error in mass = `(Deltam)/mtimes100=0.01/2.42times100`
`=1/2.42`
% error in volume `=0.1/4.7times100=10/4.7`,
`Density=(Mass)/(Volume)=M/V`
Macimum % error in density=% error in mass +% error in volume
`therefore` Maximum percentage error in density
`1/2.42+10/4.7=0.413+2.127=2.54%`
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