A wire has a mass 0.3 0.003 g
Asked by admin @ in Math viewed by 271 People
A wire has a mass (0.3+/- 0.003) g,radius (0.5 +/- 0.005) mm and length (6 +/- 0.06) cm.What is the maximum percentage error?
Answered by admin @
Hey friend!!!!!
your answer is "4%"
___________
Explainatioan =>
______
Since density is mass÷volume,
For a cylinder it becomes- mass÷(pi×radius^2×length)
Relative percent errors for-
Mass-0.003÷0.3×100=1%
Radius^2-2×0.005÷0.5×100=2%
Length-0.06÷0.6×100=1%
THE UNITS CANCEL THEMSELVES FROM THE NUMERATOR AND DENOMINATOR.
therefore,
maximum percentage error in density-1%+2%+1%=4%
so, the answer is 4%
I think my answer is capable to clear your confusion..
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