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Physics
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Errors of Measurement
question_answer
A physical quantity A is related to four observable \[a,b,c\] and d as follows, \[A=\frac{{{a}^{2}}{{b}^{3}}}{c\sqrt{d}}\], the percentage errors of measurement in \[a,b,c\] and d are 1%,3%,2% and 2% respectively. What is the percentage error in the quantity A [Kerala PET 2005]
A) 12%
B) 7%
C) 5%
D) 14%
Correct Answer:
D
Solution :
Percentage error in A \[=\left( 2\times 1+3\times 3+1\times 2+\frac{1}{2}\times 2 \right)%=14%\]