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# Elements of the Precision of Measurements And Graphical Methods

Elements of the Precision of Measurements And Graphical Methods
H M Harry Manley Goodwin
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X 0.068 (c.p.)* Â« 0.54 c.p.
Second, Fractional Method: The fractional deviation in V corresponding to A' is A' 0.068 0.068 ^ Mm and, since L'*=L* f the fractional deviation in U is one-half the fractional deviation in L; A' 1 A U * 2 * V .-.^ = 2.~ =2x0.017-0.034.
-L Xs Therefore, A - 0.034 x L = 0.034 x 16 c.p. - 0.54 c.p.
The same result would of course be obtained by applying the general differentiation method to the original formula for L, but the resulting value of the differential coeffic
...ient is somewhat more complicated.
Digitized by CjOOQLC SOLUTION OF ILLUSTRATIVE PROBLEMS 77 On the assumption that the average light emitted by the candle during the measurements is equal to one candle power, the candle power of the gas flame is 15.67 + 0.54 c.p.; 0.54 i.e., it is known to only 100 -j?r- Â« 3.4 per cent., although the > 27 original photometer setting a is good to 100 -^- â€” 1.4 per cent.
Problem 4. â€” Suppose the index of refraction n of a substance is to be determined by measuring the angle of incidence i and the angle of refraction r of a ray of light.

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