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Q.

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

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a

7%

b

5%

c

1%

d

9%

answer is D.

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Detailed Solution

We know density,ρ=MV=[M][L3]∴            Δρρ×100=ΔMM×100+3ΔLL×100= 3%+ 3(2%) = 9%
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