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

Question

Dr. Abubacker · Accepted Answer

Percentage error in $A$ $= \ \left( 2 	imes 1 + 3 	imes 3 + 1 	imes 2 + \frac{1}{2} 	imes 2 ight)\% = 14\%$

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

Explanation

Reviewed by Dr. Abubacker

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