Physics And Measurement Question 280
Question: A wire has a mass $ 0.3\pm 0.003g $ , radius $ 0.5\pm 0.005mm $ and length $ 6\pm 0.06on $ . The maximum percentage error in the measurement of its density is
Options:
A) 1
B) 2
C) 3
D) 4
Show Answer
Answer:
Correct Answer: D
Solution:
[d] Density, $ \rho =\frac{M}{V}=\frac{M}{\pi r^{2}\ell } $
$ \therefore \frac{\Delta \rho }{\rho }\times 100=[ \frac{\Delta M}{M}+\frac{2\Delta r}{r}+\frac{\Delta \ell }{\ell } ]\times 100=4 $
