QUESTION 1 2 points Save Answer In Investigation 1, you will be investigating the pattern created by light shining through a double slit. Theory tells us that a double slit will create a pattern of equally spaced bright spots. Each spot is a distance ym from the central bright spot, m where y = Ltand. L is the distance between the slit and the screen and the angle can be seen in the picture below. It can be found using the formula dsind = ma, where d is the distance between the slits, A is the wavelength of the light and m represents the count of the bright spot from the central bright spot. (m = 1 is the first spot to either side of the central bright spot, m = 2 is the second spot to either side, etc.). tan 0 = D Assumption of infinite For distant screen source distance gives assumption plane wave at slit so that all amplitude tan 0 ~ sino - 0 ~ } elements are in phase D For D > > a this approaches Condition for maximum a right angle dsine = ma and 8' = 0 MAD y - a = slit width The spacing of the bright spots is the same, theoretically, so has a value equal to y1. What will happen to the spacing of the bright spots on the screen if you change the double slit from a large d value to a smaller one? Explain your answer. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 10pt E v IE v A v E E x2 X2 . .. + ABC X EX: P O WORDS POWERED BY TINYQUESTION 2 2 points Save Answer In Investigation 2, you will be investigating the pattern created by light shining through a single slit. Theory tells us that a single slit will create a wide, bright central bright spot. Less bright fringes will be seen on either side. Unlike the double slit, the mathematical formulas for the single slit describe where the dark spots will be found. Each dark spot is a distance ym from the central bright spot, where y = Land . L is the distance between the slit and the screen and the angle can be seen in the picture below. It can be found using the formula asind= mi, where a is the width of the single slit, A is the wavelength of the light and m represents the count of the dark spot from the central bright spot. (m = 1 is the first dark spot to either side of the central bright spot, m = 2 is the second dark spot to either side, etc.). tan 0 = _ D tan 0 ~ sin 0 = 0 = - D 0'-0 y a . .... . D S Condition for minimum asin 0 = ma MAD a The spacing of the dark spots is the same, theoretically, so has a value equal to y. What will happen to the spacing of the dark spots on the screen if you change the single slit from a small a value to a larger one? Explain your answer. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 10pt Ev Av LY x2 X2 . .. - ABC + P 0 WORDS POWERED BY TINYQUESTION 4 2 points Save Answer In Investigation 4, you will be testing out the pattern produced by a diffraction grating. This is a device that consists of many hundreds of tiny slits, a small distance d apart from each other. When a laser shines on the grating, it produces a picture like the one seen here. Image of the pattern created by a diffraction grating The locations of these dots are theoretically found using the formula dsine = mi . The dots are labeled according to their order, m. The central dot is called the zeroth order dot (m = 0). The first ones to the left and right are m = 1. Further out are m = 2, etc. The definition of e can be seen in the picture below. Diffraction Screen Grating m Laser yo The distances between the slits in a diffraction grating are typically very small. This means that it is very difficult to get them to be precisely spaced. This is why manufacturers of diffraction gratings typically give a slit density, which is an average number of slits per mm. If you're given this type of density, how could you use that number to find the average distance between two adjacent slits? For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIYS Paragraph Arial 10pt Ev A v x2 X2 . .. + ABC v P O WORDS POWERED BY TINYQUESTION 5 5 points Save Answer your work. The diffraction grating you will use in class has a manufacturer's stated slit density of 500 lines/mm. The red laser has a wavelength of 632.8 nm. Using the information, predict the maximum number of bright spots this diffraction grating will produce for the red laser. Show For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIYS Paragraph Arial 10pt EVEVI x2 X2 ... RBC V P O WORDS POWERED BY TINY