A beam of irradiate is incident onto the interface between material 1 and material 2.

You are watching: A ray of light is incident onto the interface between material 1 and material 2. (figure 1)**Given the exponentiation of refraction n_1 and n_2 of product 1 and material 2, respectively, rank these scenarios ~ above the basis of the phase change in the refracted ray. 1) location from largest to smallest. To rank items together equivalent, overlap them.a) n1,water=1.33n2,air=1.00b) n1,water=1.33n2,quartz=1.46c) n1,water=1.33n2,diamond=2.42d) n1,air=1.00n2,quartz=1.46e) n1,benzene=1.50n2,water=1.33f) n1,air=1.00n2,water=1.33**

**2) Rank this scenarios on the basis of the phase change in the reflected ray.**a) n1,benzene=1.50n2,water=1.33b) n1,air=1.00n2,quartz=1.46c) n1,water=1.33n2,quartz=1.46d) n1,water=1.33n2,air=1.00e) n1,water=1.33n2,diamond=2.42f) n1,air=1.00n2,water=1.33

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Concepts and reason

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## General guidance

Concepts and reason

The concepts used to fix the given problem are full internal have fun and critical angle.

First, determine the expression the the crucial angle indigenous the expression that the Snell\u2019s law. Next, usage the expression of an important angle obtained previously to calculate the an important angle for each the the four cases and also arrange the values thus acquired in decreasing order.

Fundamentals

**Critical angle: **When the incident ray of irradiate travelling through a denser medium, progresses towards the interface with the rarer medium, the light beam gets refracted at an angle, with the common at the interface. However, once the incidence edge is such that the refraction edge is equivalent to

**Total interior reflection:** At any type of angle better than the crucial angle of incidence the occurrence ray of irradiate gets entirely internally reflected and also this phenomenon is known as the full internal reflection.

Expression for Snell\u2019s legislation is composed as,

Here,

stand for the incidence angle, represent the refraction angle, stand for the refractive index of refraction medium, and stand for the refractive index of occurrence medium.## Step-by-step

### Step 1 the 2

**(B)**

Consider,** **

From Snell\u2019s law,

Here,

is refractive index of rarer medium, and also is refractive table of contents of the denser medium.Substitute

for , and because that .Thus,

\u2026\u2026 (1)Explanation | typical mistakes | note for following step

The complete internal enjoy of a light beam is feasible only once refractive index of the tool in i m sorry the light ray travels initially, is higher than the one more medium at the interface, that is, the light beam travels native denser tool to a rarer medium.

Use the expression for Snell\u2019s law and solve because that the an essential angle that incidence identified as the angle of incidence because that which the refraction angle is

.Do not take into consideration the refraction angle to be greater than

for the incidence angle to be critical angle that incidence; it is incorrect. An important angle is referred for an incidence edge at i m sorry the refraction angle is identical to .Use the expression of an important angle derived in step 1 and calculate the vital angle for each that the four cases and also arrange the values thus derived in decreasing order.

### Step 2 that 2

Calculate the crucial angle.

**Case 1:**

The expression for vital angle is,

Substitute

for and also because that .**Case 2:**

The expression for an essential angle is,

Substitute

because that and also because that .**Case 3:**

The expression for vital angle is,

Substitute

for and for .**Case 4:**

The expression for vital angle is,

Substitute

because that and also for .Part B

**For the provided scenarios, the an important angles are ranked in decreasing bespeak as**

Use the expression of vital angle the incidence obtained in step (1) and also calculate the an essential angle because that the given 4 conditions and also arrange the vital angles thus obtained in to decrease order.

Do not write the expression for critical angle as,

, due to the fact that the exactly expression for an important angle is .### Answer

Part B

For the provided scenarios, the vital angles space ranked in decreasing order as

.### Answer only

Part B

**For the offered scenarios, the an essential angles space ranked in decreasing bespeak as**

90\u00b0

n, sin = n, song

n2

ni

n, sin = n, sing

n2

ni

90\u00b0

n, sin 0, n, sin 900 Sin -

3 0 sin

90\u00b0

90\u00b0

90\u00b0

nli q-sine)

1.00

n2

2.42

ni

1.00 2.42 0 -sin 24.41

1.33

n2

2.42

ni

1.33 2.42 2 33.34\u00b0

0in2

1.33

n2

1.50

ni

1.33 1 .50 0. = sin = 62.45\u3002

0 sin

1.33

ni

1.00

n2

1 .00 = sin = 48.75\u3002

g-in(2)

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a) all Equal

**b) The people with greater numerator is the smallest and the ones v a greater denominator to the bigger side**

answered by: Joe Seppe

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