Question

A quantity X is given as X=ab2/c3. The percentage error in measurement of a,b,c are +- 1% +-3% and +-2% respectively. Find %error in X

Answer 1

Answer:

13%

Explanation:

Δx/x*100= percentage error in x

Δx/x*100=Δa/a*100+2Δb/b*100+3Δc/c*100

              =1+2*3+3*2

              =1+6+6

              =13%

X±13%

HOPE THIS HELPS YOU

Answer 2

Answer:

The error is $_{-}^{+}13\%$

Explanation:

As per the data given in the question,

We have,

$X= \frac{ab^{2}}{c^{3} }$

So, to calculate the error percentage

$\Delta\frac{x}{x}\times 100= \Delta\frac{a}{a}\times 100 + 2\Delta\frac{b}{b}\times 100+3\Delta\frac{c}{c}\times 100\\\Delta\frac{x}{x}\times 100= _{-}^{+}1\: +\: 2( _{-}^{+}3)\:+\:3( _{-}^{+}2)\\\Delta\frac{x}{x}\times 100=\: _{-}^{+}13\%$

Hence,

The error is $_{-}^{+}13\%$

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