xii)
If the length of a cylinder is 1 =
(4.00+0.001) cm, radius r = (0.0250
+0.001) cm and mass m = (6.25+0.01)
gm. Calculate the percentage error in the
determination of density
[Ans: 8.185%
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Answer:
percentage error in the determination of density = 8.185 %
Explanation:
Density = Mass / Volume
Volume of Cylinder = πr²h
Density = m / πr²h
% error in sensity = (Δm/m + 2Δr/r + Δh/h)*100
= (0.01/6.25 + 2*0.001/0.0250 + 0.001/4) * 100
= 0.16 + 8 + 0.025
= 8.185
percentage error in the determination of density = 8.185 %
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