The maximum error in the measurement of mass and density of the cube are 3% and 9% respectively. The maximum error in the measurement of length will be
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a
4%
b
6%
c
7%
d
9%
answer is A.
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Detailed Solution
Given that (ΔM/M)−(3/100)and (Δρ/ρ)=(9/100)We know that l=(M/ρ)1/3∴△llmax=13ΔMM+Δρρ=133100+9100=4100=4%