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The mass and volume of a body are found ...

The mass and volume of a body are found to be `5.00 pm 0.05 kg " and "1.00 pm 0.05 m^3` respectively. Then, the maximum possible percentage error in its density is

A

0.06

B

0.03

C

0.1

D

0.05

Text Solution

Verified by Experts

The correct Answer is:
A
Here, Mass of a body, `M=5.00pm0.05kg`
Volume of a body, `V=1.00pm0.05m^(3)`
Density, `rho=(M)/(V)`
Relative error in density is
`(Deltarho)/(rho)xx100=(DeltaM)/(M)xx100+(DeltaV)/(V)xx100`
`=((0.05)/(5)xx100)+((0.05)/(1)xx100)=1%+5%=6%`
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