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True/False Type Questions Q A large-ang...

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

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To determine whether the statement "A large-angle prism deviates a light ray more" is true or false, we can analyze the behavior of light as it passes through a prism with a large angle. ### Step-by-Step Solution: 1. **Understanding Prism Deviation**: - A prism deviates light due to refraction. The amount of deviation depends on the angle of the prism and the refractive index of the material. 2. **Prism Angle**: - Let’s denote the prism angle as \( A \). A larger angle \( A \) typically means that the light ray will experience more bending as it passes through the prism. 3. **Incident and Emergent Angles**: - When light enters the prism, it forms an angle of incidence \( I_1 \) with the normal at the first surface. After refraction, it forms an angle \( R_1 \) with the normal. Similarly, when light exits the prism, it forms angles \( I_2 \) and \( R_2 \) at the second surface. 4. **Calculating Deviation**: - The total deviation \( \delta \) of the light ray can be expressed as: \[ \delta = \delta_1 + \delta_2 \] - Where \( \delta_1 \) is the deviation at the first surface and \( \delta_2 \) is the deviation at the second surface. 5. **Effect of Increasing Prism Angle**: - As the prism angle \( A \) increases, the angles of incidence \( I_1 \) and \( I_2 \) also increase, leading to larger deviations \( \delta_1 \) and \( \delta_2 \). - This means that the net deviation \( \delta \) increases with a larger prism angle. 6. **Conclusion**: - Therefore, it can be concluded that a large-angle prism does indeed deviate a light ray more than a small-angle prism. Thus, the statement is **True**. ### Final Answer: **True**: A large-angle prism deviates a light ray more. ---
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