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Calculate the refractive index of the material of an equilateral prism for which the angle of minimum deviation is 60°.
  • a)
    √3/2
  • b)
    √3
  • c)
    1/2
  • d)
    1/√2
Correct answer is option 'B'. Can you explain this answer?
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Calculate the refractive index of the material of an equilateral prism...
Refractive index of the prism material is μ = 

μ = √3.
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Community Answer
Calculate the refractive index of the material of an equilateral prism...
The angle of minimum deviation (Dm) for an equilateral prism is given by the relation:

Dm = A + (μ - 1) * A

where A is the angle of the prism and μ is the refractive index of the prism material.

In this case, the angle of the prism A is 60 degrees, and we want to find the refractive index μ.

Substituting the given values into the equation:

60 = 60 + (μ - 1) * 60

Simplifying the equation:

0 = (μ - 1) * 60

Since the angle of minimum deviation is 60 degrees, the equation simplifies to:

0 = μ - 1

Solving for μ:

μ = 1

Therefore, the refractive index of the material of the equilateral prism is 1.
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Calculate the refractive index of the material of an equilateral prism for which the angle of minimum deviation is 60°.a)√3/2b)√3c)1/2d)1/√2Correct answer is option 'B'. Can you explain this answer?
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