One method of determining the refractive index of a transparent solid is to measure the critical angle when the solid is in air. If θ c is found to be 40.7 ∘ , what is the index of refraction of the solid?

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One method of determining the refractive index of a transparent solid is to measure the critical angle when the solid is in air. If       θ          c       is found to be       40.7          ∘      , what is the index of refraction of the solid?

lizparker6q8h9o · Accepted Answer

The citical angle       θ          c       of a medium denser than air is the angle of incident of a ray in that medium refracted in air for which the angle of refraction becomes       90          ∘      So refractive index   μ of the medium w.r to air will be  μ  =            sin      ⁡      (      A      n      g      l      e             i      n             r      a      r      e      r             m      e      d      i      u      m      )              sin      ⁡      (      A      n      g      l      e             i      n             t      h      e             d      e      s      e      r             m      e      d      i      u      m      )        =  (            sin      ⁡      90              sin      ⁡              θ                  c                      )  =  (      1          sin      ⁡              40.7                  ∘                      )  ≈  1.53

One method of determining the refractive index of a transparent solid is to measure the critical ang

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