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An experiment measured quantity a, b, c ...

An experiment measured quantity a, b, c and then x is calculated from `x = ab^(2)//c^(3)`. If the percentage error in a, b, c are `pm` 1%, `pm` 3% and `pm` 2% respectively, the percentage 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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  14. A physical quantity X is represented by X = (M^(x) L^(-y) T^(-z). The ...

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  15. If error in measuring diameter of a circle is 4 %, the error in the ra...

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  16. A wire has a mass (0.3pm0.003)g, radius (0.5pm0.005) mm and length (0....

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  19. What is the fractional error in g calculated from T = 2 pi sqrt((l)/(g...

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