JEE Main & Advanced
Physics
Mathematical Tools, Units & Dimensions
Question Bank
Self Evaluation Test - Physical World, Units and Measurements
question_answer
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?
A)12%
B) 7%
C) 5%
D) 14%
Correct Answer:
D
Solution :
[d] Percentage error in A \[=\left( 2\times 1+3\times 3+1\times 2+\frac{1}{2}\times 2 \right)%=14%\]