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If the error involved in the measurement of mass and length of one side of a cube are 4% and 3% respectively. What is the maximum permissible relative error in calculation of density of meterail of the cube?

A

0.12

B

0.13

C

0.14

D

0.15

Text Solution

Verified by Experts

The correct Answer is:
B

Density, `p=(M)/(V)=(M)/(L^(3))`
The percentage error in density is given by `(Deltap)/(p)xx100=(DeltaM)/(M)xx100+3xx(DeltaL)/(L)xx100`
`=4%+3xx3%=13%`
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