# Quiz Chapter 01.06: Propagation of Errors

 MULTIPLE CHOICE TEST PROPAGATION OF ERRORS INTRO TO SCIENTIFIC COMPUTING

1. If $A=3.56\pm 0.05$ and $B=3.25\pm 0.04$, the values of $A+B$ are

2. A number $A$ is correctly rounded to $3.18$ from a given number $B$. Then $\left| A-B \right| \leq C$, where $C$ is

3. Two number $A$ and $B$ are approximated as $C$ and $D$, respectively. The relative error in $C \times D$ is given by

4. The formula for normal strain in a longitudinal bar is given by

$\epsilon = \dfrac{F}{AE}$

where

• $F=$ normal force applied
• $A=$ cross-sectional area of the bar
• $E=$ Young’s modulus

If $F=50 \pm 0.5N$, $A=0.2 \pm 0.002 m^{2}$, and $E=210 \times 10^{9}Pa \pm 1 \times 10^{9}Pa$, the maximum error in the measurement of strain is

5. A wooden block is measured to be 60 mm by a ruler and the measurements are considered to be good to 1/4th of a millimeter.  Then in the measurement of 60 mm, we have ________ significant digits

6. In the calculation of the volume of a cube of nominal size $5"$, the uncertainty in the measurement of each side is $10$%.  The uncertainty in the measurement of the volume most nearly is