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A slab of glass (n=1.66) is held horizontally in contact with the top surface of

ID: 1449134 • Letter: A

Question

A slab of glass (n=1.66) is held horizontally in contact with the top surface of a pool water (n=1.33). The slab is surrounded on the other three sides by air(n=1.00). A beam of light enters the left face of the slab of glass at an angle of incidence of theta s A. What is the critical angle for total internal reflection between glass and water? B. Find the value of the angle of incidence such that the light beam experience total internal reflection at the glass water interface? A slab of glass (n=1.66) is held horizontally in contact with the top surface of a pool water (n=1.33). The slab is surrounded on the other three sides by air(n=1.00). A beam of light enters the left face of the slab of glass at an angle of incidence of theta s A. What is the critical angle for total internal reflection between glass and water? B. Find the value of the angle of incidence such that the light beam experience total internal reflection at the glass water interface? A. What is the critical angle for total internal reflection between glass and water? B. Find the value of the angle of incidence such that the light beam experience total internal reflection at the glass water interface?

Explanation / Answer

a)

n1 sin(theta1) = n2 sin(theta2)

(1.66) sin(theta1) = (1.33) sin(90)

==> theta1 = 53.2453 = 53.2 degrees

b)

n0 sin(theta0) = n1 sin(theta1)

1.00 sin(theta0) = (1.66) sin(53.2453)

==> sin(theta0) = 1.33 >1

impossible

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