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A wire has a mass (0.3pm0.003)g, radius ...

A wire has a mass `(0.3pm0.003)`g, radius `(0.5pm0.005)` mm and length `(0.6pm0.006)` cm. The maximum percentage error in the measurement of its density

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1

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2

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3

D

4

Text Solution

Verified by Experts

`p=(M)/(V)=(M)/(pir^(2)h)`
`(Deltap)/(p)=(DeltaM)/(M)+(2Deltar)/(r)+(Deltah)/(h)` (for maximum error)
`(DeltaM)/(M)=(0.003)/(0.3)xx100=1%`
`(Deltar)/(r)=(.05)/(0.5)xx100=1%`
`(Deltal)/(kl)=(0.06)/(6)xx100=1%`
`(Deltap)/(p)=4%`
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