Q.

In an experiment, the percentage of error occurred in the measurement of physical quantities A, B, C and D are 1%, 2%, 3% and 4% respectively. Then the maximum percentage of error in the measurement X, where X = A2B12C12D3,will be

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a

10%

b

(313)%

c

16%

d

-10%

answer is C.

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Detailed Solution

X = A2B12C13D3In X = 2ln A + 12lnB-13lnC-3lnD(dXX)max = 2dAA+12dBB+13dCC+3dDDError Xmax= 2×1+22+13×3+3×4 =16 %
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In an experiment, the percentage of error occurred in the measurement of physical quantities A, B, C and D are 1%, 2%, 3% and 4% respectively. Then the maximum percentage of error in the measurement X, where X = A2B12C12D3,will be