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Q.

In an experiment, the percentage of error occurred in the measurement of physical quantities A, B, C and D are 1%, 4%, 3% and 2% respectively. Then the maximum percentage of error in the measurement X where X=A3BC1/2D3 will be

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a

10%

b

-0.5%

c

14.5%

d

14%

answer is C.

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Detailed Solution

x=A3BC1/2D3

Maximum percentage error in x

dXX×100=3dAA+dBB+12dCC+3dDD×100

=3×1+4+12×3+3×2=14.5%

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