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The density of a material in the shape o...

The density of a material in the shape of a cube is determined by measuring three sides of the cube and its mass. If the relative errors in measuring the mass and length are respectively 1.5% and 1% the maximum error in determining the density is

A

`4.5%`

B

`6%`

C

`2.5%`

D

`3.5%`

Text Solution

Verified by Experts

The correct Answer is:
A
`rho = (M)/(V) =(M)/(l^(3))`
`rho=(M)/(V)=(M)/(l^(3))`
`:. ((drho)/(rho))_("max")=(dM)/(M)+3(dl)/(l)=1.5%+3xx1%=4.5%`
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