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need help with both parts please, thank you! (10%) Problem i: A ray of light, em

ID: 1567316 • Letter: N

Question

need help with both parts please, thank you!

(10%) Problem i: A ray of light, emitted beneath the surface of an unknown 13.4 cm quid with air above it, undergoes total internal reflection as shown in the figure. 15.0 Cm Otheexpertta.com A 50% Part (a) What is the minimum index of refraction for the liquid? Grade Summary ni,min Deductions Potential 100% sino cos0 7 8 9 Submissions Attempts remaining 4 5 6 acos() cotan (19 per attempt) atan acotano sinh0 1 2 3 detailed view cosh(0 tanh0 cotanh0 o Degrees o Radians vo Feedback I give up! Submit Hint Hints deduction per hint. Hints remaining 4 Feedback: 0% deduction per feedback. A 50% Part (b) If you assume that the above case shows the critical angle, what is its likely identification?

Explanation / Answer

a)
from the figure

angle of incidence, theta_i = tan^-1(13.4/15)

= 41.8 degrees

theta_r = 90 degrees

use Snell's law

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

sin(41.8)/sin(90) = 1/n

==> n = 1/sin(41.8)

= 1.5 <<<<<<<--------------Answer


b) The liquid may be Benzene