Math Problem Statement
Solution
The question is written in Bengali and asks to determine the angle of deviation of a light ray when it passes from air into a medium with a refractive index of , given that the angle of incidence is .
Let's solve this step by step:
Given Data:
- Refractive index of the medium:
- Angle of incidence:
- Using Snell's Law:
Since the light is traveling from air () into the medium (), we get: Since , the equation becomes:
Step 2: Finding the Angle of Deviation
The deviation angle is given by:
Final Answer:
The angle of deviation is .
Would you like a more detailed explanation? Here are some related questions to explore further:
- What happens to the deviation angle if the refractive index increases?
- How is the refractive index related to the speed of light in a medium?
- What would be the deviation angle if the light was traveling from the medium into the air?
- Can total internal reflection occur in this case? Why or why not?
- How does Snell's Law apply in cases of multiple refractions?
Tip: Always remember that refraction bends light towards the normal when entering a denser medium and away from the normal when entering a less dense medium.
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Math Problem Analysis
Mathematical Concepts
Snell's Law
Trigonometry
Angle of Deviation
Formulas
Snell's Law: n1 * sin(i) = n2 * sin(r)
Angle of Deviation: D = i - r
Theorems
Snell's Law
Suitable Grade Level
Grades 9-10
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