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In an experiment four quantities a,b,c a...

In an experiment four quantities a,b,c and d are measured with percentage error 1% 2%, 3% and 4% respectively. Quantity P is calcualted as follows : `P=(a^(3)b^(2))/(cd)%` error in P is

A

0.04

B

0.14

C

0.1

D

0.07

Text Solution

Verified by Experts

`(DeltaP)/(P)xx100% =(3(Deltaa)/(a)+2(Deltab)/(b)+(Deltac)/(c)+(Deltad)/(d))xx100%`
`=3xx1%+2xx2%+3%+4%`
`=3%+4%+3%+4%`
`=14%`
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