Physics And Measurement Question 297
Question: The length of a cylinder is measured with a metre rod having least count 0.1 cm. Its diameter is measured with vernier callipers having least count cm. Given that length is 5.0 cm and radius is 2.00 cm. The percentage error in the calculated value of the volume will be:
Options:
A) 11%
B) 2%
C) 3%
D) 4%
Show Answer
Answer:
Correct Answer: C
Solution:
[c] $ V=\pi r^{2}\ell \frac{\Delta V}{V}%=2\frac{\Delta r}{r}%+\frac{\Delta \ell }{\ell }% $
$ =2\times \frac{0.01}{2}\times 100%+\frac{0.1}{5}\times 100%=3% $
