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Multiplication & Division of Errors

If a, b, c ar...

Question

If a, b, c are the percentage errors in the measurement of A, B and C, then the percentage error in ABC would be approximately

a b c

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a + b + c

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a b + b c + a c

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\frac{a}{b} + \frac{b}{c} + \frac{c}{a}

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Solution

The correct option is B $a + b + c$
$\frac{Δ A B C}{A B C} = \frac{Δ A}{A} + \frac{Δ B}{B} + \frac{Δ C}{C}$
$= a + b + c$

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