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A wire has a mass 0.3+-0.003g, radius 0....

A wire has a mass `0.3+-0.003g`, radius `0.5+-0.005mm` and length `6+-0.06cm`. The maximum percentage error in the measurement of its density is

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
`rho=(m)/(pir^(2)l)rArr(Deltarho)/(rho)=(Deltam)/(m)+2(Deltar)/(r)+(Deltal)/(l)rArr(Delta rho)/(rho)xx100`
`=(0.003)/(0.3)xx100+2x(0.005)/(0.5)+(0.06)/(6)xx100=4%`
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