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(8%) Problem 5: The figure on the right represents a ray of light passing from a

ID: 2034714 • Letter: #

Question

(8%) Problem 5: The figure on the right represents a ray of light passing from air through crown glass (which has index of refraction n-1.52) into water, such as a light beam entering a fish tank through its glass wall n2 n3 Otheexpertta.com Calculate the distance the ray is displaced, in millimeters, by the glass, given that the incident angle is 40.0° and the glass is 0.75 cm thick Take 1.52 for the index of refraction for crown glass Grade Summary Deductions Potential 5% 95% cos0 tan() acos() sinh) Submissions Attempts remaining: 4 (5% per attempt) detailed view Sin ? cotan0asin0 acotan atan)a | 5% 0 cosh tanh0 cotanhO Degrees Radians Submit Hint I give up! Hints: 1 % deduction per hint. Hints remaining: 2 Feedback: 1% deduction per feedback

Explanation / Answer

sin theta1 / sin theta2 = nglass / nair

sin theta2 = 1 * sin 40 / 1.52

theta2 = 25 deg

delta x = t (tan theta1 - tan theta2)

= 0.75 * 10-2 (tan 40 - tan 25)

distance ray displaced = 2.79 mm