### Text Transcription for Educational Website**115. A narrow beam of white light is incident normally on the surface of a triangular silicate flint glass prism with one angle of 90°. The index of refraction for violet light is 1.66 and for red light is 1.61. The angle θ in the prism is equal to 30° of glass. On the diagram below, show an approximate sketch for the refracted light from the opposite face of the prism. Calculate angular separation between red and violet of emerging light.**### Diagram Explanation- **Diagram Components:** - The diagram depicts a triangular prism with one angle at 90°. - The incident beam of white light approaches normally (perpendicularly) to the surface of the prism. - The angle θ is marked as 30° within the prism. - The area outside the prism is labeled as "Air" and the inside as "Glass."- **Understanding Refraction:** - When white light enters the prism, it refracts and disperses into its component colors due to different refractive indices for different wavelengths. - Violet light (higher frequency) has a greater index of refraction (1.66) than red light (1.61), causing violet light to bend more than red.- **Task:** - Readers are asked to sketch the paths of refracted light emerging from the prism, illustrating the angular separation of red and violet light. - They are also required to calculate this angular separation using the given indices of refraction and angle θ within the prism.The diagram and information are central to understanding the principles of light refraction, dispersion through prisms, and the calculation of angular separation.

Given: The index of refraction of violet light is 1.66. The index of refraction of red light is 1.61. The angle in the prism is equal to 30∘. Introduction: Snell’s law gives the degree of refraction and the relation between the angle of incidence, the angle of refraction, and refractive indices of a given pair of media. We know that light experiences refraction or bending when it travels from one medium to another medium. Snell’s law predicts the degree of the bend. Snell's law states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is a constant, for the light of a given color and for the given pair of mediaCalculation: Write the expression of the refracted angle for the red light. θred=sin-1sinθglassnrednair Here, θglass is the angle of the prism, nred is the index of refraction of red light, nair is the index of refraction of air. Substitute 30∘ for θglass, 1.61 for nred and 1 for nair in the above expression. θred=sin-1sin30∘1.611θred=53.6∘ Substitute 30∘ for θglass, 1.66 for nred and 1 for nair in the above expression. θviolet=sin-1sin30∘1.661θviolet=56∘ Calculate the value of angular separation. θ=θviolet-θredθ=56∘-53.6∘θ=2.4∘ Thus, the value of angular separation is 2.4∘. Draw the sketch of the refracted light as follows.

Science

Advanced Physics

115. A narrow beam of white light is incident normally on the surface of a triangular silicate White light flint glass prism with one angle of 90 The index of refraction for violet Air 700° Glass light is 1.66 and for red light is 1.61. The angle 0 in the prism is equal to 30° of glass. a. On the diagram below show an approximate sketch for the refracted light from the opposite face of the prism. Calculate angular separation between red and violet of emerging light.

115. A narrow beam of white light is incident normally on the surface of a triangular silicate White light flint glass prism with one angle of 90 The index of refraction for violet Air 700° Glass light is 1.66 and for red light is 1.61. The angle 0 in the prism is equal to 30° of glass. a. On the diagram below show an approximate sketch for the refracted light from the opposite face of the prism. Calculate angular separation between red and violet of emerging light.