A physical quantity X is given by X = A2B3/CD , If the percentage errors of measurement in A,B,C and D are 4%,2%,3% and 1% respectively, then calculate the % error in X.

Asked by Sukrit Saha | 4th Jun, 2016, 12:08: PM

Expert Answer:

Dear subir1965@rediffmail.com

Thanks for asking us a question in Ask the Expert section of TopperLearning.com.

We have not understood the query that you have posted. 
However, considerind your question to be: 
begin mathsize 12px style straight X equals fraction numerator straight A squared straight B cubed over denominator straight C square root of straight D end fraction equals fraction numerator straight A squared straight B cubed over denominator CD to the power of 1 divided by 2 end exponent end fraction
fraction numerator increment straight X over denominator straight X end fraction cross times 100 percent sign equals 2 fraction numerator increment straight A over denominator straight A end fraction plus 3 fraction numerator increment straight B over denominator straight B end fraction plus fraction numerator increment straight C over denominator straight C end fraction plus 1 half cross times fraction numerator increment straight D over denominator straight D end fraction
fraction numerator increment straight X over denominator straight X end fraction cross times 100 percent sign equals 2 cross times 4 percent sign plus 3 cross times 3 percent sign plus 2 percent sign plus 1 half cross times 1 percent sign
fraction numerator increment straight X over denominator straight X end fraction cross times 100 percent sign equals 8 percent sign plus 9 percent sign plus 2 percent sign plus 0.5 percent sign
fraction numerator increment straight X over denominator straight X end fraction cross times 100 percent sign equals plus-or-minus 19.5 percent sign
end style


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Topperlearning Team.

Answered by Yashvanti Jain | 6th Jun, 2016, 04:33: PM