True/False Type Questions
Q A large-angle prism deviates a light ray more.

Options

A. more
B. less
C. equal to a small-angle prism
D. does not deviate at all

Answer

To determine whether a large-angle prism deviates a light ray more than a small-angle prism, we can analyze the relationship between the angle of the prism (A) and the angle of deviation (D).

### Step-by-Step Solution:

1. **Understanding the Prism**: A prism bends light due to refraction. The amount of bending depends on the angle of the prism and the refractive indices of the materials involved.

2. **Angle of Deviation**: The deviation (D) of light passing through a prism is influenced by the angle of the prism (A). The relationship can be expressed as:
\[ D = i + e - A \]
where \(i\) is the angle of incidence and \(e\) is the angle of emergence.

3. **Maximum Deviation Condition**: The maximum deviation occurs when the angle of incidence equals the angle of emergence (i = e). In this case, the deviation can be simplified to:
\[ D_{max} = 2i - A \]
This indicates that as the angle of the prism (A) increases, the maximum deviation does not necessarily increase.

4. **Effect of Increasing Prism Angle**: If we increase the angle of the prism (A), we can observe the following:
- For a fixed angle of incidence (i), as A increases, the angle of deviation (D) can actually decrease after a certain point.
- This means that a larger angle prism does not always lead to a larger deviation.

5. **Conclusion**: Therefore, it is not true that a large-angle prism deviates a light ray more than a small-angle prism. In fact, increasing the angle of the prism can lead to a decrease in the angle of deviation after a certain point.

### Final Answer:
**False** - A large-angle prism does not necessarily deviate a light ray more than a small-angle prism.

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