The angular dispersion will be maximum in the following pairs of colours is :-

Options

A. Yellow and green
B. Red and blue
C. Green and red
D. Blue and orange

Answer

To solve the problem of determining which pair of colors produces the maximum angular dispersion when passed through a prism, we can follow these steps:

### Step 1: Understand Angular Dispersion
Angular dispersion refers to the separation of different colors of light as they pass through a prism. This separation occurs because different colors (or wavelengths) of light refract at different angles due to their varying speeds in the prism material.

### Step 2: Identify the Color Pairs
We have four pairs of colors to analyze:
1. Yellow and Green
2. Red and Blue
3. Green and Red
4. Blue and Orange

### Step 3: Draw a Ray Diagram
To visualize the dispersion, we can draw a ray diagram for each pair of colors. In each diagram, we will show how the light rays of each color enter and exit the prism, noting the angles of refraction.

### Step 4: Calculate the Angular Dispersion for Each Pair
For each color pair, we need to determine the angle of deviation for each color. The angular dispersion (D) can be calculated using the formula:
\[ D = \delta_1 - \delta_2 \]
where \( \delta_1 \) is the angle of deviation for the first color and \( \delta_2 \) is the angle of deviation for the second color.

### Step 5: Compare the Angular Dispersion Values
After calculating the angular dispersion for each pair, we compare the values to find out which pair has the maximum angular dispersion.

### Step 6: Conclusion
Based on the calculations and comparisons, we can conclude which pair of colors produces the maximum angular dispersion.

### Solution Summary
Upon analyzing the pairs:
- Yellow and Green: Moderate dispersion
- Red and Blue: Maximum dispersion
- Green and Red: Moderate dispersion
- Blue and Orange: Less dispersion

The pair that produces the maximum angular dispersion is **Red and Blue**.

### Final Answer
The correct option is **Red and Blue**.

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