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Q.

A physical quantity Z depends on four observables a,b, c and d , as Z=a2b23cd3. The percentages of error in the measurement of a,b, c and d are 2%, 1.5%, 4% and 2.5% respectively. The percentage of error in Z is

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a

12.25%

b

16.5%

c

13.5%

d

14.5%

answer is D.

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Detailed Solution

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Given:Z=a2b2/3cd3
Percentage error in Z,=ΔZZ×100=2Δaa+23Δbb+12Δcc+3Δdd×100
=2×2+23×1.5+12×4+3×2.5=14.5%

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