A glass prism produces angle of minimum deviation of 36°.find the angl...
Angle of Minimum Deviation
The angle of minimum deviation is the angle at which a ray of light passing through a prism is deviated the least. It is denoted by the symbol Dm.
Given Information
- Angle of minimum deviation (Dm) = 36°
- Refractive index of the prism material (n) = 1.5
Derivation of the Angle of Prism
The angle of prism (A) can be determined using the formula:
A = (Dm + A) - 180°
where Dm is the angle of minimum deviation and A is the angle of prism.
Substituting Values
Let's substitute the given values into the formula:
A = (36° + A) - 180°
Solving for A
Rearranging the equation, we have:
A - A = 36° - 180°
0 = -144°
This means that the angle of prism (A) cannot be negative. Hence, the given information is incorrect or inconsistent.
However, if we assume that the angle of minimum deviation (Dm) is 36° but in the opposite direction, we can proceed with the calculation.
Revised Calculation
Assuming the angle of minimum deviation (Dm) is -36°:
A = (-36° + A) - 180°
Simplifying the equation:
A - A = -36° - 180°
0 = -216°
Again, the angle of prism (A) cannot be negative.
Conclusion
Based on the given information, it is not possible to determine the angle of prism accurately. The given values may be inconsistent or incorrect. Further clarification or additional information is required to solve the problem correctly.