The density of a cube is measured by mass and length of a side ,if the percentage error in mass is 2 %and percentage error in measuring the side is 3%.calculate the maximum percentage error the measuring density?
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density of cube = d = mass / Length³
%error in mass = Δm * 100 / m = 2
ΔL * 100 / L = 3
Δd * 100 /d = percentage error in density =
sum of % error in mass and 3 times % error in Length
= 2 + 3 * 3 = 11 %
RULE : F = A^n * B^m / C^p then
% error in F = n * %error in A + m * %error in B + p * % error in C
Relative errors are all added in the same way.
%error in mass = Δm * 100 / m = 2
ΔL * 100 / L = 3
Δd * 100 /d = percentage error in density =
sum of % error in mass and 3 times % error in Length
= 2 + 3 * 3 = 11 %
RULE : F = A^n * B^m / C^p then
% error in F = n * %error in A + m * %error in B + p * % error in C
Relative errors are all added in the same way.
poojapkumar58:
thank u sir
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