Question

Constants Part A Draw a straight line on a piece of paper. Fill a transparent drinking glass with water and place it on top of the line you have drawn, making sure the line extends outward from both sides of the glass. Position your head above the glass, but not directly above, such that you look downward at an angle to see the image of the line through the water, as shown in (Figure 1). The image of the line beneath the glass will appear shifted away from the line you have drawn. Mark a spot on the paper beside the glass where the line seen through the water would extend. The distance between that mark and the original line s is mes mm. Keeping your eye in the same position, hold a pen along the line of sight from your eye to the surface of the water, where the image of the line appears. The tip of the pen should just touch the surface of the water. Now move your head above the glass and sight downward from directly above the tip of the pen. Mark a spot on the paper beside the glass indicating the horizontal distance between the drawn line and the tip of Let 6, and 6represent the angle of incidence and the angle of refraction, respectively, of the upward light ray traveling toward your eye, as shown in the figure, and let H be the depth of the water. Write an expression for tan. Express your answer in terms of some or all of the variables s, d, H. tan 9a = Submit Previous Answers Correct igure 1 of 1 Part B Write an expression for tan 66- Express your answer in terms of some or all of the variables s, d, H. tan 6. = s+d H Submit Previous Answers 1 Ks Correct Image of line Drawn line Constants Part C from both sides of the glass. Position your head above the glass, but not directly above, such that you look downward at an angle to see the image of the line through the water, as shown in (Figure 1). The image of the line beneath the glass will appear shifted away from the line you have drawn. Mark a spot on the paper beside the glass where the line seen through the water would extend. The distance between that mark and the original line s is 8 mm. Keeping your eye in the same position, hold a pen along the line of sight from your eye to the surface of the water, where the image of the line appears. The tip of the pen should just touch the surface of the water. Now move your head above the glass and sight downward from directly above the tip of the pen. Mark a spot on the paper beside the glass indicating the horizontal distance between the drawn line and the tip of the pen. The distance d is 25 mm. Assume H is large so the angles are small and we can approximate tanda sin @ and tand sin 6. Using Snell's law and these approximations, write an expression for the index of refraction n of the water. Express your answer in terms of the variables s and d. EVO AKO ? n = Figure 1 of 1 Submit Request Answer Part D Use the values of s and d to estimate the index of refraction of the water. Express your answer using two significant figures. VALD ? n = Image of line Drawn line Submit Request Answer

Answer 1

Dear Student,

According to Snell's law

$n_1 \times \sin \Theta _1=n_2 \times\sin\Theta _2$

where are refractive index of incident and imarging medium &   
01.02
are angle of incidence and angle of refraction respectively.

Now the the solutions are as follows...

Happy to help you.

Part @ Ob nb=1 In Anno=1 , According to Smells law Na Sinoa no Sin Ob 1. Sinop std sindan tanda = 2 nan Oai n sin Da d H os E H & sing fan = std H n = std es d Partd s = 8 mm d = 25 mm 2. i. Std d 8+25 25 1.32