r2R (ст) ro FIR (cm) (cm) (cm) (cm) 8.5 11 V 13.3 13.3 V 18.5 .1 2. Determine the distances between the zeroth order dot and the two first order dots (s4L & SAR). Then determine the average of those two values (s1avg) and the uncertainty of the distances (a,). For the distance uncertainty, use the following formula: a,= 2xa, rel unc = s x100 $1,avg (%) SIL SIR (cm) S1,avg (cm) (cm) (cm) 2.5 V 2.3 2.4 2 8.3333 3. As mentioned in the Introduction, s, & d are two legs of a right triangle. As such, tane, = 51.avg Determine 8, and state the value in the table below. Then determine og by using the following formula: og = 1800,cos-81 After that, determine the relative uncertainty of your value for nd 98 x100 rel unc = (degrees) (degrees) (%) 28.07 1.98 7.06 4. Use the formula for diffraction to calculate N, the number of lines per meter on the diffraction grating. Determine the uncertainty of this value using the following formula: aN After that, determine the relative uncertainty of your value for N. 180tano, rel unc = "Nx100 (lines/m) (lines/m) (%) 608428.2 5. Next, you will use the value of N you just determined to make a prediction for the distance between the zeroth order dot and the second order dot on the right. To do so, first use the formula for diffraction to solve for 82 (82.pred in the table below). Then, you will solve for s2R.pred using the formula: tane2 pred =228.pred Using the positions you recorded in STEP 1, determine the distance between the zeroth order dot and the second order dot on the right (s2R,meas). Finally, determine the percent difference between s2R.pred & s2Rmeas- 02,pred (degrees) S2R. meas (cm) IS28.pred - S2R. meas 0.5x(s28.ored + S2R.meas) (%) % diff = x100 S2R, pred (cm)
r2R (ст) ro FIR (cm) (cm) (cm) (cm) 8.5 11 V 13.3 13.3 V 18.5 .1 2. Determine the distances between the zeroth order dot and the two first order dots (s4L & SAR). Then determine the average of those two values (s1avg) and the uncertainty of the distances (a,). For the distance uncertainty, use the following formula: a,= 2xa, rel unc = s x100 $1,avg (%) SIL SIR (cm) S1,avg (cm) (cm) (cm) 2.5 V 2.3 2.4 2 8.3333 3. As mentioned in the Introduction, s, & d are two legs of a right triangle. As such, tane, = 51.avg Determine 8, and state the value in the table below. Then determine og by using the following formula: og = 1800,cos-81 After that, determine the relative uncertainty of your value for nd 98 x100 rel unc = (degrees) (degrees) (%) 28.07 1.98 7.06 4. Use the formula for diffraction to calculate N, the number of lines per meter on the diffraction grating. Determine the uncertainty of this value using the following formula: aN After that, determine the relative uncertainty of your value for N. 180tano, rel unc = "Nx100 (lines/m) (lines/m) (%) 608428.2 5. Next, you will use the value of N you just determined to make a prediction for the distance between the zeroth order dot and the second order dot on the right. To do so, first use the formula for diffraction to solve for 82 (82.pred in the table below). Then, you will solve for s2R.pred using the formula: tane2 pred =228.pred Using the positions you recorded in STEP 1, determine the distance between the zeroth order dot and the second order dot on the right (s2R,meas). Finally, determine the percent difference between s2R.pred & s2Rmeas- 02,pred (degrees) S2R. meas (cm) IS28.pred - S2R. meas 0.5x(s28.ored + S2R.meas) (%) % diff = x100 S2R, pred (cm)
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Please help me answer the following. The laser = 759 nm, and the diffraction grating is 4.5 cm
Transcribed Image Text:ro
r2R
(cm)
(cm)
(cm)
(cm)
(cm)
8.5
11
13.3
18.5
2. Determine the distances between the zeroth order dot and the two first order dots (s4 & S4R). Then determine the average of those two values (s4 ava) and the uncertainty of the distances (o.). For the distance uncertainty, use the following formula: o, = 2x0,
Osx100
SIL
SIR
rel unc =
51,avg
(cm)
Os
S1,avg
(%)
8.3333
(cm)
(cm)
(cm)
2.5
2.3
2.4
3. As mentioned in the Introduction, s, & d are two legs of a right triangle. As such, tane, = 1,avg Determine 0, and state the value in the table below. Then determine og by using the following formula: og = 1800,CoS01 After that, determine the relative uncertainty of your value for
nd
04.
de x100
01
(degrees)
rel unc =
01
(%)
(degrees)
28.07
1.98
7.06
4. Use the formula for diffraction to calculate N, the number of lines per meter on the diffraction grating. Determine the uncertainty of this value using the following formula: ON=
After that, determine the relative uncertainty of your value for N.
180tane1
rel unc = Nx100
ON
(lines/m)
N
(lines/m)
(%)
608428.2
5. Next, you will use the value of N you just determined to make a prediction for the distance between the zeroth order dot and the second order dot on the right. To do so, first use the formula for diffraction to solve for 0, (02.pred in the table below). Then, you will solve for s2R.pred using
the formula: tan82 pred =2R,pred. Using the positions you recorded in STEP 1, determine the distance between the zeroth order dot and the second order dot on the right (s2R.meas). Finally, determine the percent difference between S2R.pred & S2R.meas-
02,pred
(degrees)
|S2R.pred - S2R.meas
0.5x(s2R.pred + S2R,meas)
(%)
0% diff =
-x100
S2R,pred
(cm)
S2R,meas
(cm)
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