Holistic Numerical Methods Institute

committed to bringing numerical methods to undergraduates

Multiple Choice Test

Propagation of Errors

 

Q1. If  and , the values of  are

 

 

 

 

 


Q2. A number A is correctly rounded to 3.18 from a given number B.  Then |A-B|≤C, where C is

  0.005

  0.010

  0.180

  0.09999

 


Q3. Two numbers A  and B are approximated as C and D, respectively.  The relative error in CxD  is given by

 
 

 

 

 


Q4. The formula for normal strain in a longitudinal bar is given by

          

where

         F = normal force applied

         A = cross-sectional area of the bar

         E = Young’s modulus

If , , and , the maximum error in the measurement of strain is

 

 

 

 


Q5. 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

  0
  1

  2

  3

 


Q6. 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

  5.477%
  10.00%
  17.32%

  30.00%

 


             

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