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% $



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