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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

`+- 13%`

B

`+-7%`

C

`+-4%`

D

`+-1%`

Text Solution

Verified by Experts

The correct Answer is:
A
(1) `X = (ab^(2))/(c^(3))`
`(Delta X)/(X) = (Delta a)/(a) + 2 (Delta b)/(b) + 3 (Delta c)/(c )`
`(Delta X)/(X) xx 100 = 1 + 2 xx 3 + 3 xx 2 = 13%`
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Knowledge Check

  • An experiment measures quantities a, b and c and X is calculated from X= ab^(2)//c^(3) . If the percentage error in a, b and c are pm 1%, pm 3% and pm 2% respectively, the percentage error in X will be-

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    D
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