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in Physical World and Measurement by (80 points)
edited by

If X = 8.00 ± 0.04 cm and Y = 4.001 ± 0.04 cm, then X/Y should be expressed as

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1 Answer

+1 vote
by (42.2k points)

Correct option is c) 2.00 \(\pm\) 0.03

Given

X = (8.00 + 0.04)

Y = (4.00 + 0.04)

Then

\(Z = \frac XY = \frac{8.00}{4.00}\)

\(Z = \frac XY = 2\)

\(Z = X +Y\)

\(\frac{\Delta Z}Z = \frac{\Delta X}X + \frac{\Delta Y}Y\)

\(\frac{\Delta Z}2 = \frac{0.04}{8.00} + \frac{0.04}{4.00}\)

\(\frac{\Delta Z}2 = 0.005 + 0.01\)

\(\Delta Z = 0.03\) 

Then \(\frac XY\) can be expressed

\(\frac XY = (2.0 \pm 0.03)\)

by (80 points)
+1
Thank you so much

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