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A wire has mass m=0.3+-0*003g, radius r=...

A wire has mass `m=0.3+-0*003g,` radius `r=0*5+-0*005mm` and length `l=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
Density is given by `rho=("mass")/("volume")=(m)/(pir^(2)xxl)`
`(Deltarho)/(rho)xx100=((Deltam)/(m)xx100)+2((Deltar)/(r)xx100)`
`+((Deltal)/(l)xx100)`
Putting the various values
`(Deltarho)/(rho)xx100[(0*003)/(0*3)xx100]+2[(0*005)/(0*5)xx100]`
`+((0*06)/(6)xx100)`
`=1+2+1=4%`.
Hence correct choice is `(d)`.
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