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The min. Deviation produced by a hollow prism filled with a certain liquid is found to be 30 degree. the light is found to be reflected and angle of 30 degree the refractive index of the liquid is?
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Understanding the Hollow Prism Situation
In this scenario, we are dealing with a hollow prism filled with a liquid. The key parameters to consider are the minimum deviation angle and the angle of reflection.
Key Parameters
- Minimum Deviation (D): The minimum deviation produced by the hollow prism is 30 degrees.
- Angle of Reflection (θ): The angle of reflection of the light is also 30 degrees.
Formula for Refractive Index
To find the refractive index (n) of the liquid, we can use the relationship involving the minimum deviation and the angle of the prism (A):
- The formula is given by: n = (sin((A + D)/2)) / (sin(A/2))
In this case, we can assume that the angle of the prism is equal to the angle of reflection since they are both given as 30 degrees.
Calculating Refractive Index
1. Determine the angle of the prism (A):
- Since the angle of reflection is 30 degrees, we can take A = 30 degrees for our calculation.
2. Substituting Values:
- D = 30 degrees
- A = 30 degrees
3. Final Calculation:
- Substitute these values into the formula to get the refractive index (n).
Conclusion
The refractive index of the liquid can be calculated using the values provided. It is essential to apply the correct formula to derive the accurate refractive index based on the prism's properties and the light's behavior within it.
This approach provides a clear understanding of how to derive the refractive index in practical scenarios involving prisms and liquids.
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The min. Deviation produced by a hollow prism filled with a certain liquid is found to be 30 degree. the light is found to be reflected and angle of 30 degree the refractive index of the liquid is?
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