Question

a physical quantity q is found to depend on observable x,yandz obeying relation q=x^3y^2/z the percentage error in the measurements of x y and z are 1%2%and 4% respectively what is percentage error in the quantity q​

Answer 1

Given: a physical quantity q is found to depend on observable x, y and z obeying relation q = x^3y^2/z

To find: what is percentage error in the quantity q​?

Solution:

• Now we have given  q = x^3y^2/z

• The percentage error in the measurements of x y and z are 1%, 2% and 4% respectively.

• So the percentage error is:

                  Δq/q = 3Δx/x + 2Δy/y + Δz/z

• Putting the values in it, we get:

                  Δq/q = 3(1) + 2(2) + (4)

                  Δq/q = 11%

Answer:

           So the percentage error in the quantity q​ is 11%.