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The density of a cube is measured by mea...

The density of a cube is measured by measuring its mass and the length of its sides. If the maximum errors in the measurement of mass and length are `3% and 2%`, respectively, then find the maximum error in the measurement of the density of cube.

A

0.09

B

0.13

C

0.12

D

0.07

Text Solution

Verified by Experts

The correct Answer is:
B
Density `rho=(m)/(v)=(m)/(a^(3))rArr(Delta rho)/(rho)=(Deltam)/(m)+3(Delta a)/(a)`.
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ALLEN -ERROR AND MEASUREMENT-Part-2(Exercise-1)
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  16. If error in measuring diameter of a circle is 4% the error in circumfe...

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  17. A wire has a mass (0.3+-0.003)g, radius (0.5+-0.005)mm and length (6+-...

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  19. The volume of a sphere is .176 m^3 What will be the volume of 25 such ...

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  20. What is the fractional error in g calculated form T=2pisqrt(l//g) ? Gi...

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