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Q.

An experiment measures quantities a, b, and c, and then X is calculated from X=a1/2b2c3. If the percentage errors in a, b, and c are ±1%,±3%, and ±2%, respectively, then the maximum percentage error in X can be

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a

±12.5%

b

±7%

c

±1%

d

±4%

answer is A.

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Detailed Solution

X=a1/2b2c3       ΔXX×100=12Δaa×100+2Δbb×100+3Δcc×100                         =12×1+2×3+3×2=12.5%
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An experiment measures quantities a, b, and c, and then X is calculated from X=a1/2b2c3. If the percentage errors in a, b, and c are ±1%,±3%, and ±2%, respectively, then the maximum percentage error in X can be