Physics And Measurement Question 300
Question: A physical quantity A is related to four observable quantities a, b, c and d as follows, $ A=\frac{a^{2}b^{3}}{c\sqrt{d}} $ and 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?
Options:
A) 12%
B) 7%
C) 5%
D) 14%
Show Answer
Answer:
Correct Answer: D
Solution:
[d] Percentage error in A $ =( 2\times 1+3\times 3+1\times 2+\frac{1}{2}\times 2 )%=14% $
