Question:
How find error in measured quantities raied to power give examples
Answer:
Let us consider x = an / bm Then δx /x = plus or minus ( n δa /a + m δb /b )
Example – Find the percentage of error in the formula g = 4 π2 l / t2 where the erros of l and t are measured with plus or minus 2 % and 3 % respectively.
g = 4 π2 l / t2
δg /g * 100 = plus or minus (δl /l * 100 + 2 δt /t * 100)
= plus or minus (2 + 2(3)) %
= plus or minus 8 %
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