Please perform the calculations and fill out the tables, with
the given data.
Please Perform The Calculations And Fill Out The Tables With The Given Data 1 (290.16 KiB) Viewed 13 times
DATA and ANALYSIS, Part 1 The maximum and minimum values of the index of refraction of the glass plate are given by the expressions (D+8D)' +16(+8) (D-5D)* +16(1-6) nmax D-SD D+SD + t -(4), and nmin == (5) The best value for the index of refraction of the glass plate is n = n +n max (6) = 3(-_ Mumin), =(-_-) and the uncertainty in the value of the index of refraction is on=- n max (7) min Calculate the best value of the index of refraction of the glass plate and the corresponding uncertainty. Report in a table, this value together with the best known value of the index of refraction for glass plate of 1.50. Also graph this value on a one-dimensional graph. Thickness St Diameter SD Index of nmax nmin n best Sn of glass t O of dark O refraction of C) circle D glass n D? +16t D n= (10.2mm 11.8 Sample calculations:
PROCEDURE, Part 2 a) Place a few drops of water on top of the glass plate and smear them around with your finger. b) Shine the laser down on the plate and notice that a dark circle surrounded by a bright ring fading into a dark ring appears. The dark ring is faint and difficult to see. The bright ring is produced by internal reflections at the liquid-air boundary, and the outer dark ring is produced by internal reflections at the glass-liquid boundary. Position the glass plate so that the diameter of the outer dark ring can be measured. Record the diameter, D. and its uncertainty, 8D. max min DATA and ANALYSIS, Part 2 The maximum and minimum values of the index of refraction of the liquid are n(D+8D) n(D-8D) (8) and (D-8D)* +16(t–8) N(D+8D)*+16(t+8+) The best value of the index of refraction of the liquid is (10) and the uncertainty is on :==(---.-) (11) Use the value of n=1.50 for the index of refraction of the glass plate and calculate the best value for the index of refraction of the liquid and the corresponding uncertainties. Report this value, together with the accepted value of the index of refraction of the liquid in a table. Also graph this value on a one-dimensional graph. ni = }(-_+ni max n'max n'min n' best Sn' n accepted=1.33 % difference Sample calculations: Size of larger Dork winga 3.6 Graph:
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