Physics And Measurement Question 186
Question: A physical quantity A is related to four observable $ a,b,c $ and d as follows, $ A=\frac{a^{2}b^{3}}{c\sqrt{d}} $ , the percentage errors of measurement in $ a,b,c $ and d are 1%,3%,2% and 2% respectively. What is the percentage error in the quantity A
[Kerala PET 2005]
Options:
A) 12%
B) 7%
C) 5%
D) 14%
Show Answer
Answer:
Correct Answer: D
Solution:
Percentage error in A $ =( 2\times 1+3\times 3+1\times 2+\frac{1}{2}\times 2 )%=14% $
