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A physical quantity A is related to four...

A physical quantity A is related to four observable a,b,c and d as follows, `A=(a^2b^3)/(csqrtd)`, the percentage errors of measurement is a,b,c and d,are `1%`,`3%`,`2%` and `2%` respectively. What is the percentage error in the quantity A?

A

`12%`

B

`7%`

C

`5%`

D

`14%`

Text Solution

Verified by Experts

The correct Answer is:
D
`A = (a^2b^3)/(csqrtd)`
`((DeltaA)/A) xx100 = (2(Deltaa)/Delta+3(Deltab)/b+(Deltac)/c+1/2(Deltad)/d)xx100`
`=(2xx1+3 xx3 + 2+1/2 xx2) = 14%`
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