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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^(2)`

B

`0.10 kg//m^(3)`

C

`0.07 mg//m^(3)`

D

`0.31 kg//m^(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
`rho=(10)/((0.1)^(3))=10^(+4) kg//m^(3)`
Also `rho=(M)/(l^(3)) :. (Delta rho)/(rho)= (Delta M)/(M) + (3 Delta l)/(l) = (0.1)/(10) + (0.01)/(0.1) xx 3 " " (1)/(100)+3/10 = (31)/(100) = 0.31 kg//m^(3)`
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