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A physical quantity x is calculate from ...

A physical quantity `x` is calculate from `x=(ab^(2))/(sqrt(c)).` Calculate the percentage error in measuring `x` when the percentage errors in measuring `a,b,c` are `4,2` and `3` percent respectively :

A

`7%`

B

`9%`

C

`11%`

D

`9.5%.`

Text Solution

Verified by Experts

The correct Answer is:
D
Here `(Deltax)/(x)xx100=(Deltaa)/(a)xx100+2(Deltab)/(b)xx100+(1)/(2)(Deltac)/(c)xx100`
`=[4+2xx2+1//2xx3]%`
`9.5%.`
Hence correct choice is `(d).`
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