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

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

A

`1`

B

`2`

C

`3`

D

`4`

Text Solution

Verified by Experts

Density `rho = (m)/(pir^(2)L)`
`:.(Deltarho)/(rho)xx100=((Deltam)/(m)+2(Deltar)/(r)+(DeltaL)/(L))xx100=[(0.003)/(0.3)+2xx(0.005)/(0.5)+(0.06)/(6)]xx100=4%`
After substituting the values we get the maximum percentage error in density `=4%` Hence the correct option is `(D)` .
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