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Light rays fall normally on the vertical surface of a glass prism (n- 1.6) as sh

ID: 2034863 • Letter: L

Question

Light rays fall normally on the vertical surface of a glass prism (n- 1.6) as shown in Figure. 1) What is the largest value of 0 such that the ray is totally internally reflected at the slanted face? (Express your answer to three significant figures. Submit You currently have O submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. 2) Repeat the calculation if the prism is immersed in water with n 1.33. (Express your answer to three significant figures.) Submit You currently have O submissions for this question. Only 10 submission are allowed You can make 10 more submissions for this question

Explanation / Answer

1)

let theta_i is the minimum incident angle at the slanted face.

use Snell's law

sin(theta_i)/sin(theta_r) = n2/n1

when total internal reflection takes place, theta_r = 90 degrees

sin(theta_i)/sin(90) = 1/1.6

theta_i = sin^-1(1/1.6)

= 36.7 degrees

from figure

theta = 90 - theta_i

= 90 - 36.7

= 53.3 degrees <<<<<<<<--------------Answer

2)


use Snell's law

sin(theta_i)/sin(theta_r) = n2/n1

when total internal reflection takes place, theta_r = 90 degrees

sin(theta_i)/sin(90) = 1.3/1.6

theta_i = sin^-1(1.3/1.6)

= 54.3 degrees

from figure

theta = 90 - theta_i

= 90 - 54.3

= 35.7 degrees <<<<<<<<--------------Answer

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