First slide
Errors
Question

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, X=A2B1/2C1/3D3, will be

Moderate
Solution

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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