Physics And Measurement Question 287

Question: The pressure on a square plate is measured by measuring the force on the plate and length of the sides of the plate by using the formula $ P=\frac{F}{{{\ell }^{2}}} $ . If the maximum errors in the measurement of force and length are 6% and 3% respectively, then the maximum error in the measurement of pressure is

Options:

A) 1%

B) 2%

C) 12%

D) 10%

Show Answer

Answer:

Correct Answer: C

Solution:

[c] $ \frac{\Delta P}{P}\times 100=\frac{\Delta F}{F}\times 100+2\frac{\Delta \ell }{\ell }\times 100 $

$ =6%+2\times 3%=12% $



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