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An experiment measures quantites a, b, c...

An experiment measures quantites `a, b, c` and `X` is calculated from the formula
`X = (ab^(2))/(c^(3))`
If the percentage errors in `a,b,c` are `+- 1%, +- 3%, +- 2%` respectively, the perentage error in `X` can be

A

`pm 13 %`

B

`pm 7 %`

C

`pm 4 %`

D

`pm 1 %`

Text Solution

Verified by Experts

The correct Answer is:
A
`X=(ab^(2))/(c^(3))rArr(DeltaX)/(X)=((Deltaa)/(a)+2(Deltab)/(b)+3(Deltac)/(c))`
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ALLEN-ERROR AND MEASUREMENT-Part-2(Exercise-1)
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  15. If error in measuring diameter of a circle is 4 %, the error in circum...

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