Fall2023 Interference of Light via Double Slit Lab Online-Analysis-1
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Apr 3, 2024
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1 Interference of Light via Double Slit Online Lab Name__Valencia Palacios__ Course/Section_PHY-1631-012__ Instructor__Robert Hamby__ Table 1 (5 points) d (μm) 3.00 λ (nm)
400.0 L (μm) 10.0 Table 2 (10 points) Peak (n) 2 1 0 -1 -2 𝑦
(μm) 2.80 1.40 0 -1.40 -2.80 Δ
𝑦
(μm) 1.40 1.40 1.40 1.40 1.
According to the theory, the distances (Δy) between consecutive peaks for t
wo slit interference patterns should all be the same. Calculate the distances between consecutive peaks, record them in the chart, and then calculate the standard deviation for the distances between peaks. Show Complete Sample Calculations. (20 points) ∆𝑦 = 𝑦2 − 𝑦1
2.80 − 1.40 = 1.40
1.40 − 0 = 1.40
0 − −1.40 = 1.40
−1.40 − −2.80 − 1.40
5.6 ÷ 4 = 1.4
Average
2 2.
Calculate the theoretical location 𝑦
𝑛
for each of the peaks. Show one Complete Sample Calculation. (10 points) Peak Measured Value μ
m Calculated Value μ
m +2 2.80 2.67 +1 1.40 1.33 0 0 0 -1 -1.40 -1.33 -2 -2.80 -2.67 𝑦
𝑛
= ?
𝜆𝐿
𝑑
= 2 ×
0.4×10.0
3.0
= 2.67 ??
3.
Calculate the % error between the theatrical value and your measured value for the peak ? = 2
and your experimental value. Show Complete Sample Calculation. (5 points) % =
2.80 − 2.67
2.67
× 100 = 4.87%
4.
Calculate the theoretical angular location 𝜃
𝑛
for each of your measured maxima. Show Complete Sample Calculation. (10 points) Peak +2 +1 0 -1 -2 Angle (
⁰
) 15.47 7.66 0 -7.66 -15.47 ∅
𝑛
= sin
−1
(
𝑛×𝜆
𝑑
)
sin
−1
(
0×0.4
3
) = 0
sin
−1
(
2×0.4
3
) = 15.47
sin
−1
(
−1×0.4
3
) = −7.66
sin
−1
(
1×0.4
3
) = 7.66
sin
−1
(
−2×0.4
3
) = −15.47
3 5.
What is the relationship (direct or inverse) between the size of the distance between the two light sources d, and the locations of the maxima 𝑦
𝑛
? (15 points) The relationship is inverse since the equation is 1
𝑑
6.
What is the relationship (direct or inverse) between wavelength of the light ( ?
), and the locations of the maxima 𝑦
𝑛
? (15 points) The relationship of wavelength is directly proportional to location. 7. Did our experiments confirm the theory? Explain your answer (use data and results). (10 points) The experiments did align with the theory, the equations were consistently used to prove them. And they aligned similarly with the measured and calculated numbers.
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