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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, $X=\frac{{A}^{2}{B}^{1/2}}{{C}^{1/3}{D}^{3}}$, will be

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a
10%
b
(3/13)%
c
16%
d
–10%

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detailed solution

Correct option is C

X=A2B1/2C1/3D3Maximum percentage error in XdXX×100=2dAA+12dBB+13dCC+3dDD×100=2×1+12×2+13×3+3×4=16%

Similar Questions

A physical quantity A is related to four observable a, b, c and d as $\mathrm{A}=\frac{{\mathrm{a}}^{2}{\mathrm{b}}^{3}}{\mathrm{c}\sqrt{\mathrm{d}}}$ . The percentage errors of measurement in a, b, c and d are 1 %, 3 %, 2 % and 2 % respectively. What is the percentage error in the quantity A ?

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