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Draw a ray diagram to show the refractio...

Draw a ray diagram to show the refraction of a monochromatic ray through a prism when it suffers minimum deviation. How is the angle of emergence related to the angle of incidence in the position.

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To solve the question, we will follow these steps: ### Step 1: Draw the Prism Start by drawing a triangular prism. Label the vertices of the prism as A, B, and C. The base of the prism is BC. ### Step 2: Draw the Incident Ray Draw a monochromatic ray of light approaching the prism from the left side. Label the point where the ray strikes the prism as point D. ### Step 3: Draw the Normal Line At point D, draw a normal line perpendicular to the surface of the prism. This line will help us measure the angles of incidence and refraction. ### Step 4: Indicate the Angle of Incidence Label the angle between the incident ray and the normal as I1 (the angle of incidence). ### Step 5: Draw the Refracted Ray From point D, draw the refracted ray bending towards the normal as it enters the prism. This ray should be drawn parallel to the base BC of the prism. Label the angle of refraction as R1. ### Step 6: Draw the Emergent Ray Now, draw the ray as it exits the prism from point E (the point where the ray exits the prism). The emergent ray should be drawn such that it is parallel to the incident ray on the left side. Label the angle between the emergent ray and the normal at point E as I2 (the angle of emergence). ### Step 7: Indicate the Angle of Refraction at Emergence Label the angle between the normal at point E and the emergent ray as R2 (the angle of refraction). ### Step 8: State the Relationship In the case of minimum deviation, state that the angle of emergence (I2) is equal to the angle of incidence (I1). This means I2 = I1. ### Final Diagram Ensure that the diagram clearly shows the incident ray, refracted ray, emergent ray, and all the angles labeled appropriately. ### Summary - The refracted ray is parallel to the base of the prism. - The angle of emergence is equal to the angle of incidence when the ray suffers minimum deviation. ---
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