Questions

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

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a

12%

b

14%

c

7%

d

9%

detailed solution

Correct option is D

Maximum error in mass Δmm=3%=3100and maximum error in length Δll=2%=2100Maximum error in the measurement of densityΔρρ=Δmm+3×Δll=3100+3×2100=3100+6100=9100=9%

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A physical quantity A is related to four observable a, b, c and d as $\mathrm{A}=\frac{{\mathrm{a}}^{2}{\mathrm{b}}^{3}}{\mathrm{c}\sqrt{\mathrm{d}}}$ . The percentage errors of measurement in a, b, c and d are 1 %, 3 %, 2 % and 2 % respectively. What is the percentage error in the quantity A ?

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