In this part of the lab, we'll perform some simulated measurements using a diffraction grating and a monochromatic laser. We will be using the GeoGebra simulation below; Grating in Place Screen to Grating Distance (3-10m) 5.23 Grating lines per mm (200-500) 319 Wavelength (400-700 nm) 532 TITTTTT TTTTTT Diffraction gratia272 Laser Screen Screen to grating distance El J when we put the grating in front ofthe laser, we expect to see a number of spots. We usually label these with a whole number (either I: or m are usually used) indicating how far from the centre they are; the for example, the rst diffraction maxima either side of the centre is n. = 1. Diffraction Grating Light of wavelength A In this case} the angular position of each maxima follows Bragg's law; {1 t 313nm\") = M. You will now attempt to validate Bragg's law for a variety of wavelengths using the simulation. [in the simulation} set the Screen to Grating Distance as 5.23 metres, and the Grating Lines per mm as 319. (Note that you can use the arrow keys on 0 your keyboard to dial in the exact number). You will now attempt to validate Bragg's law for a variety of wavelengths using the simulation. On the simulation, set the Screen to Grating Distance as 5.23 metres, and the Grating Lines per mm as 319. (Note that you can use the arrow keys on your keyboard to dial in the exact number) Theoretical Values "Experimental" Values Wavelength 1 (degrees) L 02 (degrees) (nm (m) W1 (m) W2 (m ) 1 (degrees) 02 (degrees) 434.0 5.23 438.0 5.23 456.0 5.23 485.0 15.23 487.0 15.23 Using Bragg's law and the numbers above, calculate the expected angular positions of the first and second order maxima @1 and @2 for each of the wavelengths provided and enter the values into the second and third columns. You may wish to note a few things: 1) You haven't been explicitly provided with d, the distance between grating spacing - but you CAN calculate it from the information given. 2) The units for d and A need to be the same for Bragg's law to work. Now, use the simulation to validate that these theoretical predictions are true. For each wavelength; 1) Set the wavelength in the simulation to the stated value. 2) Using the 'ruler', record the position of the first maxima as 'W1', and the position of the second maxima as 'W2' (see picture below for an example). Record this value in metres (the number on the ruler is in metres) W , 3) Use trigonometry to derive @1 from L and Wi, and 02 from L and W2 Make sure to hit 'check' as vou ao (and be sure to keep an eve on units