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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

`6%`

B

`3%`

C

`10%`

D

`5%`

Text Solution

Verified by Experts

The correct Answer is:
A
`rho = ("Mass")/("Volume")`
`implies (Deltarho)/(rho)xx100=((Deltam)/m+(DeltaV)/V)xx100`
`=((0.05 )/5 +(0.05)/(1.0))xx100`
`= (0.01 + 0.05) xx100 = 6%.`
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