For the same angle of incidence the angle of refraction in three diffe...
Analysis of the given information:
Given angles of refraction in medium A, B, and C are 10°, 25°, and 40° respectively for the same angle of incidence. We need to determine in which medium the velocity of light will be maximum.
Explanation:
Snell's Law:
According to Snell's law, n1 sinθ1 = n2 sinθ2, where n1 and n2 are the refractive indices of the two mediums, θ1 is the angle of incidence, and θ2 is the angle of refraction.
Relation between Velocity and Refractive Index:
The refractive index of a medium is inversely proportional to the velocity of light in that medium. This means that a higher refractive index implies a lower velocity of light in that medium.
Analysis:
- In medium A, the angle of refraction is 10°. Using Snell's law, we can calculate the refractive index of medium A.
- In medium B, the angle of refraction is 25°. Similarly, we can calculate the refractive index of medium B.
- In medium C, the angle of refraction is 40°. Once again, we can calculate the refractive index of medium C.
Conclusion:
- Comparing the refractive indices of the three mediums, the medium with the lowest refractive index will have the highest velocity of light.
- Therefore, the medium in which the velocity of light will be maximum is the one with the lowest refractive index among A, B, and C.
By following the above steps and calculations, you can determine in which medium the velocity of light will be maximum.
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