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Q.

What is the maximum percentage error in A if A=pqr2s3 and percentage error of measurement in p, q, r and s are 1%, 3%,0.5% and 0.33% respectively?

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a

2%

b

0%

c

4%

d

3%

answer is C.

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Detailed Solution

A=pqr2s3 So % erroe in A is given as ΔAA×100=12Δpp+12Δqq+2Δrr+3Δss ×100SoΔAA×100=12×1+12×3+2×0.5 + 3 × .33 = 4%
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What is the maximum percentage error in A if A=pqr2s3 and percentage error of measurement in p, q, r and s are 1%, 3%,0.5% and 0.33% respectively?