A physical quantity $P$ is related to four observations $a, b, c$ and $d$ as follows: $P = a^3b^2 / c\sqrt{d}$. The percentage errors of measurement in $a, b, c$ and d are 1%, 3%, 2%, and 4% respectively. The percentage error in the quantity $P$ is

Question

Dr. Abubacker · Accepted Answer

[Solution by Claude - not from source] $\frac{\Delta P}{P}	imes100=3(1)+2(3)+2+\frac12(4)=3+6+2+2=13\%$. Answer (3).

Q. A physical quantity $P$ is related to four observations $a, b, c$ and $d$ as follows: $P = a^3b^2 / c\sqrt{d}$. The percentage errors of measurement in $a, b, c$ and d are 1%, 3%, 2%, and 4% respectively. The percentage error in the quantity $P$ is

Explanation

Reviewed by Dr. Abubacker

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