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

In an experiment four quantities a,b,c and d are measure with percentage error `1% , 2% , 3%`,and `4%` respectively quantity is P is calculate as follow
`P = (a^(3)b^(2))/(cd) %` error in `P` is

A

`10%`

B

`7%`

C

`4%`

D

`14%`

Text Solution

Verified by Experts

The correct Answer is:
D
`P=(a^(3)b^(2))/(cd), (DeltaP)/(P)xx100%=3(Deltaa)/(a)xx100%+2(Deltab)/(b)xx100%+(Deltac)/(c)xx100%+(Deltad)/(d)xx100%`
`=3xx1%+2xx2%+3%+4%=14%`
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DISHA PUBLICATION-PHYSICAL WORLD, UNITS AND MEASUREMENTS-Exercise - 1 : Concept Builder (Topicwise)(Topic 2 : Errors in Measurements and Significant Figures)
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