Question
Mon July 18, 2011 By:

# I m getting difficulty in solving error analysis based question...Can U help ??? pls help as soon as possible...

Mon July 18, 2011
(a) Error of a sum or a difference:

When two quantities are added or subtracted, the absolute error in the final result is the sum of the absolute errors in the individual quantities.
ex: error in the sum
x=a+b
is
maximum value of error =.
for e.g: The temperature of two bodies are =20 and . calculate the temperature difference and error therein.
solution: T'=
=   T'=
(b) Error of a product or a quotient:

When two quantities are multiplied or divided, the relative error in the result is the sum of the relative errors in the multipliers.

Ex: x=a x b
maximum possible error is:
similarly, for error in quotient: x=
maximum possible error is:
(c) Error in case of a measured quantity raised to a power:

The relative error in a physical quantity raised to a power k is the k times the relative error in the individual quantity.
for e.g.
maximun relative error ,
For eg: Calculate percentage error in the determination of when l and t are measured with errors respectively.
solution:
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