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In an experiment to determine the volume...

In an experiment to determine the volume of an object, mass and density are recorded as `m = (5 pm 0.15) kg and rho (5 pm 0.2)kg m^(-3)` respectively. Calculate percentage errorin the measurement of volume.

Text Solution

Verified by Experts

We know,
`"Dinsity" = ("Mass")/("Volumn")`
`:.` Volume ` = ("Mass")/("Density") = M/rho`
Precentage error in volume ` = ((Deltam)/m + (Deltarho)/rho) xx 100`
` = (0.15/5 + 0.2/5) xx 100`
` = (0.03 + 0.04) xx 100`
`= (0.07) xx 100 = 7%`
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