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=A2B12C13D3, will be:

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a

-10%

b

10%

c

313%

d

16%

answer is C.

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Detailed Solution

X=A2B12C13D3

Maximum percentage error in X

dXX×100=2dAA+12dBB+13dCC+3dDD×100 =2×1+12×2+13×3+3×4=16%

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