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In the densilty measurement of a cube, t...

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

A

`0.07 kg//m^3`

B

`0.10 kg//m^3`

C

`0.01 kg//m^3`

D

`0.31 kg//m^3`

Text Solution

Verified by Experts

The correct Answer is:
D
`rho=m//a^3`
`(drho)/rho =(dm)/m+(3da)/(a)implies (drho)/(rho)=(0.1)/(10)+3[(0.01)/(0.1)]`
`(drho)/rho =0.01 +0.3 implies (drho)/rho =0.3 Kg//m^3`
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