In the figure, light is incident at angle θ1 = 37∘ on a boundary betwe

Question

Notify Me Bookmark

In the figure, light is incident at angle θ1 = 37∘ on a boundary between two transparent materials. Some of the light travels down through the next three layers of transparent materials, while some of it reflects upward and then escapes into the air. If n1 = 1.28 n2 = 1.42, n3 = 1.34 and n4 = 1.47, what is the value of (a)θ5 and (b)θ4? (a) θ5 = Number i Units (b) θ4 = Number Units

In the figure, light is incident at angle θ1 = 37∘ on a boundary between two transparent materials. Some of the light travels down through the next three layers of transparent materials, while some of it reflects upward and then escapes into the air. If n1 = 1.28 n2 = 1.42, n3 = 1.34 and n4 = 1.47, what is the value of (a)θ5 and (b)θ4? (a) θ5 = Number i Units (b) θ4 = Number Units

Image text

In the figure, light is incident at angle

θ_{1} = 37^{\circ}

on a boundary between two transparent materials. Some of the light travels down through the next three layers of transparent materials, while some of it reflects upward and then escapes into the air. If

n_{1} = 1.28

n_{2} = 1.42, n_{3} = 1.34

and

n_{4} = 1.47

, what is the value of

(a) θ_{5}

and

(b) θ_{4} ?

(a)

θ_{5} =

Number i Units

◻

(b)

θ_{4} =

Number i Units

◻

Detailed Answer

Ask Your Doubt Rate This Answer Request Video Solution

Previous question

Next question

Submit Questions

Similar/Related Questions

$In the figure, light initially in material 1 refracts into material 2, crosses that material, and is then incident at the critical angle on the interface between materials 2 and 3. The indices of refraction are n1 = 1.58, n2 = 1.38, n3 = 1.20. (a) What is angle θ? (b) If θ is increased, is there refraction of light into material 3? (a) Number Units (b)$

Solution

$In the figure below, where n1 = 1.94, n2 = 1.57, and n3 = 1.32, light refracts from material 1 into material 2. If it is incident at point A at the critical angle for the interface between materials 2 and 3, what are (a) the angle of refraction at point B and (b) the initial angle θ? If, instead, light is incident at B at the critical angle for the interface between materials 2 and 3, what are (c) the angle of refraction at point A and (d) the initial angle θ? If, instead of all that, light is incident at point A at Brewster's angle for the interface between materials 2 and 3, what are (e) the angle of refraction at point B and (f) the initial angle θ? (a) Number Units (b) Number Units (c) Number Units (d) Number Units (e) Number Units (f) Number Units$

Solution

$In the figure, a light ray in air is incident on a flat layer of material 2 that has an index of refraction n2 = 4.4. Beneath material 2 is material 3 with an index of refraction n3. The ray is incident on the air-material 2 interface at the Brewster angle for that interface. The ray of light refracted into material 3 happens to be incident on the material 2-material 3 interface at the Brewster angle for that interface. What is the value of n3? Number Units$

Solution