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The density of a cube is measured by measuring its mass and length of its side. If the maximum errors in the measurements of mass and length are 3% and 2% respectively. Then the maximum error in the measurement of density is :A. 0.07B. 0.05C. 0.09D. 0.03 |
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Answer» Correct Answer - (c ) Here, `(Delta m)/(m) = 3%, (DeltaL)/(L) = 2%` `As density, rho = (mas(m))/(volume(V)) = (m)/(L^3)` `(Delta rho)/(rho) = (Deltam)/(m) + (3 DeltaL)/(L) = 3% + 3(2%)` `=3% + 6% = 9%` |
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