In an experiment to find the density of a solid, the mass and volume of the solid were found to be 400.3 ± 0.02 g and 75.6 ± 0.01 cm³ respectively. Find the percentage error in the determination of its density.
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Dear Student,
◆ Answer -
∆d/d % = 0.0182 %
◆ Explaination -
Given that -
M ± ∆M = 400.3 ± 0.02 g
V ± ∆V = 75.6 ± 0.01 cm³
Density of a solid is given by -
d = M / V
Percentage error in measurement of density will be -
∆d/d % = (∆M/M + ∆V/V) × 100
∆d/d % = (0.02/400.3 + 0.01/75.6) × 100
∆d/d % = 0.0182 %
Therefore, percentage error in determination of density is 0.0182 %.
Best luck dear...
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