3.12.5 Data recording and processing
1)Data recording
Record observations in Table 3.12.1.
Table 3.12.1 The data for Newton’s rings

2)Data processing
On the basis of the diameters Dki of respective fringes obtained by repeated measurements,we can calculate the average diameter
and the standard deviation
:

Divide them into two groups(regarding m=20~16 as one group and n=15~11 as another group)and manage them by successive differential method.According to Equation(3.12.9)about curvature radius R(m-n=5),five values of R are calculated,and finally the average R is obtained.(https://www.daowen.com)
3)Deviation
In order to ensure the confidence,the deviation limit is the one with the largest R error among the five groups.According to Equation(3.12.9),the deviation limit is determined by the following equation:

The maximum deviation depends on the set with the largest value of(Dm-Dn).Therefore,the deviation limit
can be determined only by calculating the formula above SR once.Finally,the result can be written as:
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Record calculated results in Table 3.12.2.
Table 3.12.2 The data for Newton’s rings
