Hello. I need the answers to these questions.

1.

The diameter of a thin wire is measured in a Physics laboratory by a student. The wire is held vertically in a holding frame in front 0 the laser beam. The laser light diffracts on the wire an produces a diffraction pattern on a white screen. The diffraction pattern :5 shown In the figure. The pattern Is centered around the origin. 4. 3 2 ylcml G B -7 -6 -5 41 -3 -2 -1 {II 1 2 3 4 5 '5 7 B xlcrn} The wavelength of the laser light is 578 nm, and the screen is 1.89 m away from the wire. What is the diameter of the wire? Hint: one_of_ the higher order diffraction mlnlma lines up With a well defined x-va ue. Also, It Is perfectly safe to use the small angle approximation: sin(6') = tan(l9)). Suppose you wanted to be able to see small details on_ the Moon using an optical telescope. What Is the smallest diameter of the objective lens required to resolve a 6.60 m object on the Moon? (Hints: Use the Rayleigh Criterion for circular apertures. The angle is very small, so it is safe to use the 9 = sin(6') = tan(6') approximation, where 9 is the angle measured in radians. Assume that the telescope works best in the middle of the Visible spectrum, i.e. at A = 550 nm. The Earth-Moon distance is 3.847x105 km.) You just bought a new zoom lens for your camera and are trying it out by taking photos of aunt Berta. First, you are playing around with the focal length, while making sure that she is in focus. Which one of the following is true? 0 The lower the focal length is set, the larger she will be on the film. 0 The higher the focal length is set, the larger she will be on the film. 0 The focal length has no influence on the size of the image, just on the focussing. Now you decide on a certain focal length. Which one of the following is true if aunt Berta is in focus? 0 The further away from the lens aunt Berta stands, the larger she will be on the lm. O The closer aunt Berta is standing to the camera, the larger she will be on the film. O The size of her image is independent of her distance to the camera, as long as she is in focus. was m2 You keep the focal length, but Berta is getting impatient and starts pacing back and forth. Which one of the following is true to keep her in focus? 0 The distance between the lens and the film is independent of how far away aunt Berta is standing, as long as you keep her in focus. O The closer aunt Betta is to the camera, the shorter the distance between the lens and the film. C} The closer aunt Berta is to the camera, the longer the distance between the lens and the film. A light ray is incident at a right angle on one of the surfaces of a glass prism as shown in the figure. The top angle of the prism is a = 260. The index of refraction of the glass is n = 1.38. At what angle 0 will the light ray exit the other surface of the prism?Two different glasses - glass A and glass B - are separated by a planar boundary as shown in the figure. 9 glass A glass B 6 5 y (cm) 4 W N mim 1 2 3 4 5 6 7 8 9 x (cm) A light ray - shown in the lower left part of the figure - approaches and then hits the boundary. Part of the ray reflects back to glass A, part of the ray enters glass B. The index of refraction of glass A is nA = 1.239. Determine the index of refraction of glass B. (Notice that the lines representing the light rays travel through grid intersection points.)given data: 1= 578 nm = 578 x10"m , D= 189m amontano theangle through which the Particular minima diffracted from the center of central mania is an D for single slip Q&mo = MA q = MAD X from the graph theird order minima at 2: 4 (m . m: 3 Q = 3* 578 x 10" J * 185 4 # 10 : 2 m Q = 801 . 975 X 10 7 m 8.02 X 10-5 m Has A las B (3 5 92 -40m A y = 3cm X:9cm 3 *= I cm 4:5 Cm MA AEF tend, = (3) using snell 's law D, : ton" ( 2 ) nAsmi = nosmr 91 = 21. 570 1.2 39 am 26.57 = ne Sin ( 14. 036) In D AGH 1. 239 8 26.37" = np 9 -5 / an ( 14:036) tanda = NB = 2.285 o2 = ten" ( ), ) 92 = 14. 036