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The measured mass and volume of a body a...

The measured mass and volume of a body are `22.42 g` and `4. cm^(3)`, respectively, with possible errors of `0.01 g` and `0.1 cm^(3)`. The maximum error in density is

A

`2.54%`

B

`4.2%`

C

`6.4%`

D

`9.2%`

Text Solution

Verified by Experts

The correct Answer is:
A
Density, `d=("Mass(m)")/("Volume (V)")`
Here `m=2.42g, Deltam =0.01 g. V=4.7cm^(3), DeltaV=0.1" cc"`
Maximum error in density `(Deltad)/(d)xx100=(Deltam)/(m)xx100+(DeltaV)/(V)xx100`
`=(0.01)/(2.42)xx100+(0.1)/(4.7)xx100=0.413%+2.127%`
`"Maximum error density "=2.54%`
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