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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=A2B1/2C1/3D3 will be

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a
10%
b
313%
c
16%
d
-10%

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detailed solution

Correct option is C

X=A2B1/2C1/3D3  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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