# A physical quantity Q is calculated according to the expression Q=(A^(3)B^(3))/(CsqrtD) If percentage errors in A, B, C, D are 2%, 1%, 3% and 4%

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A physical quantity Q is calculated according to the expression
Q=(A^(3)B^(3))/(CsqrtD)
If percentage errors in A, B, C, D are 2%, 1%, 3% and 4% respectively. What is the percentage error in Q?
A. ""pm8%
B. ""pm10%
C. ""pm14%
D. ""pm12%

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Q=(A^(3)B^(3))/(Csqrt(D))
(DeltaQ)/(Q)=3((DeltaA)/(A))+3((DeltaB)/(B))+((DeltaC)/(C))+(1)/(2)((DeltaD)/(D))
Given that, (DeltaA)/(A)xx100=2,(DeltaB)/(B)xx100=1
(DeltaC)/(C)xx100=3,(DeltaD)/(D)xx100=4
therefore" "(DeltaQ)/(Q)xx100=(3xx2)+(3xx1)+(3)+(1)/(2)xx(4)
=pm14%