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A physical quantity x is calculated from...

A physical quantity `x` is calculated from the relation `x = ( a^(2) b^(3))/(c sqrt( d))`. If the percentage error in `a, b , c , and d are 2% , 1% , 3%, and 4%`, respectively , what is the percentage error in `x`?

Text Solution

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As`x=(a^(2)b^(3))/(csqrt(d))`
`(Deltax)/(x)=pm[2(Deltaa)/(a)+3(Deltab)/(b)+(Deltac)/( c)+(1)/(2)(Deltad)/(d)]`
`pm[2xx2%+3xx1%+3%+(1)/(2)xx4%=pm12%`
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