Part a through c please! Thank you in advance!

(3%) Problem 28: A microscope slide 10. cm long is separated from a glass plate at one end by a sheet of paper. As (Not to scale) shown below, the other end of the slide is in contact with the plate. The slide is illuminated from above by light from a Glass slide sodium lamp (1 = 589 nm). The dimensions of the figure are distorted for visualization. In reality, the air gap is Air Paper comparable to a small multiple of the wavelength, and the glass pieces are very thick compared to the wavelength. Glass plate & 33% Part (a) If 12 fringes per centimeter are seen along the slide. What is the thickness of the piece of paper, Ay, in micrometers? Grade Summary Ay = um Deductions 0% Potential 100% cos() 9 HOME Submissions sin() tan( ) 7 8 Attempts remaining: 20 cotan() asin() acos( ) 6 (0% per attempt) atan() acotan() sinh() 3 detailed view cosh() tanh() cotanh() + END ODegrees O Radians BACKSPACE CLEAR Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 1 Feedback: 0% deduction per feedback & 33% Part (b) Is the first fringe near the edge where the plates are in contact a bright fringe or a dark fringe? Select the best answer and explanation 4 33% Part (c) Suppose that the setup of the preceding problem is immersed in an unknown liquid. If 17 fringes per centimeter are now seen along the slide, what is the index of refraction, n of the liquid