Question

0ryz. we 13.990.09.y 0.314+0.001 and Given the equation f -1 z 0.0580+0.0006 What is the absolute uncertainty in fr Select one: o -2.55 0.02 -2.6 0.2 o. 2.6+0.5 d. 2.55+0.05 Check

Answer 1

Result : (d) 2.55 $\pm$0.05

Explanation:

• Given: f = 10xyz , x = 13.99$\pm$0.09, y= 0.314$\pm$0.001 , z = 0.0580$\pm$​​​​​​​0.0006

x*y*z = (13.99*0.314*0.0580)$\pm$xyz[$\frac{0.09}{13.99} + \frac{0.001}{0.314}+\frac{0.0006}{0.0580}$]

= 0.255 $\pm$ 0.25(0.02)

= 0.255 $\pm$ 0.005

Now , f = 10xyz

So absolute uncertainty in f is given by:

f = (0.25×10)$\pm$(0.005×10)

= 2.55 $\pm$0.05