AutoSave ✓ W= Interference_172 - Saved to my Mac Search (Cmd + Ctrl + U) Comments Editing ✓ Share ✓ Home Insert Draw Design Layout References Mailings Review View Calibri ✓ 11 ✓ Aˆ A Aa PD ✓ E ✓ 会 [ AaBbCcDdEe AaBbCcDdEe Paste BI UV ab x² A A ✓ Normal No Spacing x AaBbCcDa Heading 1 AaBbCcDdE AaBb > Heading 2 Title Styles Dictate Sensitivity Add-ins Editor ✓ ✓ ✓ Pane Page 1 of 4 927 words English (United States) Wave Interference https://phet.colorado.edu/sims/html/wave-interference/latest/wave-interference_en.html In your lab report, be sure to show calculations. And include screenshots. Part 1. Double Slit Interference In the pictures on the last page, the rays are emitted in all directions from the slits, but let's concentrate on the rays that are emitted in a direction toward a distant screen (☐ measured from the normal to the barrier). One of these rays has further to travel to reach the screen, and the path difference is given by d sin□. Small angle simplification: If ☐ is small and (<< 1 rad), then sin(in at radians), bright spots occur 1 2 on the screen 0 = mo ; )o dark spots occur at □=(m+ d Ꮎ to screen d sin 0 As shown below, the angle ☐ (measured from the center of the screen) is related to the distance x measured on the screen by tan (□)=x/L, where L is the distance from the screen to the source of light (the aperture). aperture tan = x/L laser screen X www. Focus + 134% AutoSave ✓ Home Insert Draw Design Layout References Mailings Review Calibri ✓ 11 ✓ Aˆ A Aa PD ✓ E ✓ Paste BI UV ab x² A A ✓ W= Interference_172 - Saved to my Mac Search (Cmd + Ctrl + U) Comments Editing ✓ Share ✓ View Z↓ ་ AaBbCcDdEe AaBbCcDdEe Normal No Spacing x AaBbCcDa Heading 1 AaBbCcDdE AaBb > Heading 2 Title ✓ ✓ Styles Pane Dictate Sensitivity Add-ins Editor x L d m radians) so the locations of the interference bright spots are given by ☐ = = Procedures: A) Set the slit width to 500 nm and slit separation to 1500 nm. Record your slit separation d in Table 1. B) Press the green button on the light generator and generate an interference pattern on the screen. (Again, you should see something like what you see at the top of this page.) C) Pull the measuring tape tool out of the box in the upper right and use it to measure L (using 3500 nm to 4000 nm), the distance between the slits and the screen. Then measure x the distance from the center of the central bright spot to the center of one of the 1st order bright spots. Record these values in Table 1. (Be sure to include units!!!) D) Calculate the wavelength of the light λ using the diffraction formula derived in the Background section. Record this value in Table 1. E) Pause the simulation and use the measuring tape tool to measure the wavelength directly. Record this value in Table 1. F) Calculate the %-error between your calculated and measured values, and record this value in Table 1. G) Adjust the frequency of light and repeat steps B-F. Color of Light Slit Separation d Distance from Slits to Screen L Distance from Central to 1st Wavelength (calculated) Wavelength (measured) %-Error Order Bright Spot x Red 1500 nm 3676.3 nm 1792.9 731.5 696.5 4.87% Violet 1500 nm 3676.3 1056 430.9 410 4.85% Analysis: Page 2 of 4 927 words English (United States) Focus + 134%