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Q.

In an experiment, we measure quantities a, b and c. Then x is calculated from the formula, x=ab2c3. The percentage errors in a, b, c are ±1%,  ±3%  and  ±2% respectively. The percentage error in x can be

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a

±1%

b

±4%

c

7%

d

±13%

answer is D.

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Detailed Solution

Percentage error in x=1%+2×3%+3×2%=13%The sign ± has been used because the words ‘maximum percentage error’ have not been used.Note: Percentage error is ±ΔAA×100Maximum percentage error is ΔAA×100
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