A quantity Q is formulated as X − 2 Y + 2 3 Z − 5 2 ⋅ X , Y and Z are independent parameters which have fractional errors of 0.1 , 0.2 and 0.5 , respectively in measurement. The maximum fractional

Question

A quantity Q is formulated as X − 2 Y + 2 3 ​ Z − 5 2 ​ ⋅ X , Y and Z are independent parameters which have fractional errors of 0.1 , 0.2 and 0.5 , respectively in measurement. The maximum fractional error of Q is

TestHub · Accepted Answer

​ Fractional error = 2 X Δ X ​ + 2 3 ​ Y Δ Y ​ + 5 2 ​ Z Δ Z ​ = 2 ( 0.1 ) + 2 3 ​ ( 0.2 ) + 5 2 ​ ( 0.5 ) = 0.2 + 0.3 + 0.2 = 0.7 ​

Physics - Mathematics in Physics Question with Solution | TestHub

Options:

Doubts & Discussion