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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`?

A

`+-11%`

B

`+-13%`

C

`+-12%`

D

`+-14%`

Text Solution

Verified by Experts

`(Deltax)/(x)= +-((2Deltaa)/(a)+(3Deltab)/(b)+(Deltac)/(c )+(Deltad)/(2d))`
`=+-(2xx2+3xx1+3+(1)/(2)xx4)= +- 12%`
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