Physics And Measurement Question 290
Question: A physical quantity $ \zeta $ is calulated using the formula $ \zeta =\frac{1}{10}xy^{2}/{{z}^{1/3}} $ , where x, y and z are experimentally measured quantities. If the fractional error in the measurement of x, y and z are 2 %, 1% and 3% respectively, then the fractional error in $ \zeta $ will be
Options:
A) 0.5%
B) 5%
C) 6%
D) 7%
Show Answer
Answer:
Correct Answer: B
Solution:
[b] $ \frac{\Delta \xi }{\xi }\times 100=( \frac{\Delta x}{x}+\frac{2\Delta y}{y}+\frac{1}{3}\frac{\Delta z}{z} )\times 100 $
$ 2+2\times 1+\frac{1}{3}\times 3=5% $
