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A wire of length l = +- 0.06cm and radiu...

A wire of length `l = +- 0.06cm` and radius `r =0.5+-0.005 cm` and mass `m = +-0.003gm`. Maximum percentage error in density is

A

`4`

B

`2`

C

`1`

D

`6.8`

Text Solution

Verified by Experts

The correct Answer is:
A
`rho = (m)/( pi r^(2) l)`
`rArr ((Delta rho)/( rho) xx 100) = ((Delta m)/( m) + ( 2 Delta r)/( r ) + ( Delta l)/( l)) xx 100`
` = ((0.003)/( 0.3) + ( 2 xx 0.005)/( 0.5) + ( 0.06)/( 6)) xx 100 = 4%`
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