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In an experiment to measure density of a...

In an experiment to measure density of a cube percentage error in measurement of mass and length of sphere is 0.26% and 0.38% respectively, then find % error in measurement of density.

A

14%

B

1.40%

C

1.04%

D

1.44%

Text Solution

Verified by Experts

The correct Answer is:
A, D
Density of cube `rho=(M)/(V)=(M)/(l^(3))`
Volume of cube `=l^(3)`
`:.` % error in measurement of density,
`(Deltarho)/(rho)xx100=(DeltaM)/(M)xx100+3(Deltal)/(l)xx100`
`:.(Deltarho)/(rho)xx100=0.26+3xx0.38`
`=0.26+1.14=1.40%`
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