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In the density measurement of a cube, th...

In the density measurement of a cube, the mass and edge length are measured as `(10.00 pm 0.10)`kg and `(0.10 pm 0.01)m`, respectively. The relative error in the measurement of density is:

A

`0.01 kg//m^(3)`

B

`0.10 kg//m^(3)`

C

`0.31 kg//m^(3)`

D

`0.07 kg//m^(3)`

Text Solution

Verified by Experts

The correct Answer is:
c
`d= (M)/(V)= (M)/(L^(3))= ML^(-3)`
`(Deltad)/(d)= (DeltaM)/(M)+ 3(DeltaL)/(L)`
`= (0.10)/(10.00)+ 3((0.01)/(0.10))= 0.31kgm^(-3)`
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Knowledge Check

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