Question

Need help w/12-16 thx

MAL Equation 1: y = TOAJ Wherd spacing between the two slits and y is the distance between the bright fringes. 12. We now can find the angle using an arctangent (make sure you are in degree mode) 13. Make a table that has columns for the angle, y, d and the wavelength (you may use symbols). You should have four rows. ou now 14. Using the above information and equation 1 solve for the wavelength. Show your work. Du o blonda non 15. Using the same wavelength repeat steps 7-14, using m=0 to m=2 as the opposite, the adjacent should remain the same. Include this information in your table. 16. Using the same wavelength repeat steps 7-15 with a different slit separation. Include this information in your table. 17. Take an average of the wavelengths and record.

Answer 1

ď, then IL slits. Now let P at an distance between central law -ma B m is sis o ñ o. - 0 = ma we y varies as When light enters through two slits with sepereation they interfere and produce patterns at the scoreen kept at a distance I from the the slits. I 7 say of light goes to point d] - = 20 angle ». Let the beight founge and point p be z. Now from the of constructive intreferrence, d sine whole seeder of fringe and o as the wavelength of the light. Now for small angle appronimation, Again from grometry 7 / 4 (using small angle apperone mation.) o in using equation • ware length as → y d Now from the picture given in question, get, d= 3200 nm, 7, ( fore m= 1) Putting these values get mm x 4 = 555°14 mm ef the slit separation d' the wavelength ya md. Hence wavelength fired, then lean get a from the slope of yes. have - tamo . L We have 7 m (y=mal we get ML the 778.9 mm L²4489.6 nm we ū= 778.9 x 3200 x 4 489.6 1 Now varly the keping y