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% $
