Question
Download Solution PDFIn an experiment, the percentage of error occurred in the measurement of physical quantities A, B, C and D are 1%, 2%, 3% and 4% respectively. Then the maximum percentage of error in the measurement X, where X =
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
To get the maximum percentage error in the given physical quantities we have to differentiate the given equation in terms of the error that occurred in the measurement. In a more general way, it can be written as;
The maximum percentage error is
Here, X, A, B, C, and D are the measurement of physical quantities.
CALCULATION:
Given:
Now, differentiate the equation (1) we have;
Now,maximum percentage error is,
= 2% + 1% + 1% + 12%
= 16%
Hence, option 2) is the correct answer.
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