Spring, 2016 Homework Set 1

Only Problems in Bold are Submitted for Grading

Set 1.1 - Complete for quiz on Feb. 4


From Rubinson and Rubinson:  6.1, 6.2, 6.3, 6.5, 6.6, 6.7 [not collected] Solutions to R&R problems

Additional Problems (goes to pdf document) To be turned in (those in bold)

Additional Problems - Solutions


Homework Set 1.2

Complete for quiz on Feb. 18


R&R Problems:  17.2, 17.3, 17.4

Additional Problems (goes to pdf document)

Solutions to Non-collected problems (R&R problems and Additional problems 1.2.3 and 1.2.7)

Data Set for HW1.2.1 problem

Solutions to Collected Problems (all additional except 1.2.3 and 1.2.7) [updated 2/22/16 because answers to 1.2.2 and 1.2.5 had errors]



Homework Set 1.3

Complete by Mar. 3 Mar. 1 (but no quiz planned - Mar. 1 = Exam 1 date)


1.3.1.  Which type of noise is best reduced by shielding the critical electronics?


1.3.2.  An instrument measures the concentration of a compound in a river that varies on the order of minutes.  Most of the noise associated with the measurement occurs at frequencies greater than 1 Hz.  Suggest a method (analog or digital) to increase the signal to noise ratio.


1.3.3.  What type of noise can be reduced by using internal amplification in a transducer?


1.3.4.  What type of noise can be reduced by cooling electrical components?


R&R 6.13


5.  A sample is measured 12 times by a spectroscopic method.  The average concentration and standard deviation in the average are found to be 5.2+0.7 μM.  With the assumptions made below answer the following questions:

Assume: 1) noise is purely random, 2) the noise is defined as the standard deviation, and 3) that the standard deviation is well-represented.  (The third assumption allows you to avoid using t-factors in signal averaging)

a)  What signal to noise ratio would be expected in a single measurement?

b)  What is the signal to noise in the average value for the twelve measurements?

c)  A researcher needs to have the noise be less than 2% of the value in a particular experiment.  How many measurements should she make?


Harris Text: Ch. 13:      1, 5, 10, 16, 19, 28, 36 [16-36 postponed to HW Set 2.1]