Lab 8_ Single Slit Diffraction

Figure 1.2 - Image of our first diffraction pattern set up showing the marks you have made for measurement Exercise 1. Determine the Width of a Human Hair : Data Analysis Report 1.2 Measured Laser Distance : 245cm (2.45m) Figure 1.3 - Image of our second diffraction pattern set up showing the marks you have made for measurement Report 1.3 Figure 1.4 - Image of our raw data of two diffraction patterns with the dark fringes and the centers labeled.

0 0 1 0.018 2 0.025 3 0.028 4 0.035 5 0.041 6 0.045 7 0.052 Report 1.4 Figure 1.7 - Scatter plot graph of y measurements on the y-axis and the m fringe order numbers on the x-axis from our first diffraction. From data above (Figure 1.7),

¿ ( 6.50 x 10 − 7 m 0.0088 ) 0.0005m Δ a = 3.69x10 -8 m Fringe Pattern #2 a = λD Slope λ = 650 nm = 650 x 10 − 9 m = 6.50 x 10 − 7 m D = 2.45m Slope = 0.0078 a = ( 6.50 x 10 − 7 m )( 2.45 m ) 0.0078 a = 2.04x10 -4 m Δ a = ( da dD ) ΔD = ( λ slope ) ΔD Δ a ¿ ( 6.50 x 10 − 7 m 0.0078 ) 0.0005m = 4.17x10 -8 m The two measurements of the hair width : Fringe #1 : 1.53x10 -4 m + 3.69x10 -8 m Fringe #2 : 2.04x10 -4 m + 4.17x10 -8 m Conclusion: In summary, our study on diffraction, focusing on how light bends around a human hair in Exercise 1, further our understanding into how light behaves around small objects. By carefully doing experiments and collecting data, we saw consistent patterns in how light