(Solved): Procedure 1: The Single Slit 1. Replace the double slit with a single slit and align on the optica ...

Procedure 1: The Single Slit 1. Replace the double slit with a single slit and align on the optical bench. 2. Observe the diffraction pattern. If the pattern is too narrow and you cannot count the dark spots, use a single slit of different width. 3. Measure the distance from slit to screen. Call this distance \( L .2 .46 \mathrm{~m} \quad a=0.16 \mathrm{~mm} \) 4. Identify the central bright spot and compare its width and brightness to those of bright spots adjacent to it. 5. Identify the \( m=1 \) dark spot and count dark spots outward. You should be able to count 6,7 , or more dark spots. Measure the distance between the outermost dark spots. Call this distance \( 2 y_{m} \). What is \( m \) for your case? 6. Calculate the angle \( \theta_{m} \) using your measured values \( L \) and \( y_{m} \). 7. Calculate the wavelength \( \lambda \) from the condition of destructive interference for the single slit: \[ a \sin \theta_{m}=m \lambda \] where \( a \) is the slit width. 8. Compare to the accepted value of the wavelength by calculating the percent difference. 9. Does this procedure give a better result than Procedure 1? 10. Draw a diagram showing the pattern you observed. Label the outermost dark spots with their numbers. On this diagram, show the distances you measured and the angle you calculated. \( a=0.16 \mathrm{~mm} \) \( L=2.46 \mathrm{~m} \) Single Slit Pattern