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Question

Physics Question on Units and measurement

A student in the laboratory measures thickness of a wire using screw gauge. The readings are 1.22 mm, 1.23 mm, 1.19 mm and 1.20 mm. The percentage error is
x121\frac{x}{121}%
. The value of x is _________.

Answer

The correct answer is 150
Imean=1.22+1.23+1.19+1.204=1.21I_{mean}=\frac{1.22+1.23+1.19+1.20}{4}=1.21

ΔImean=0.01+0.02+0.02+0.014=0.015ΔI_{mean}=\frac{0.01+0.02+0.02+0.01}{4}=0.015
So
%I=ΔImeanImean×100=0.0151.21×100I=\frac{ΔI_{mean}}{I_{mean}} ×100=\frac{0.015}{1.21}×100
=150121=\frac{150}{121}%
x = 150