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A ray of light is incident normally on a prism of refractive index 1.5, as shown. The prism is immersed in a liquid of refractive index blank to the power of ´ end exponent mu to the power of ´ end exponent. The largest value of the angle ACB, so that the ray is totally reflected at the face AC, is 30°. Then the value of m must be :

  1. fraction numerator square root of 3 over denominator 2 end fraction    
  2. fraction numerator 5 over denominator 3 end fraction    
  3. fraction numerator 4 over denominator 3 end fraction    
  4. fraction numerator 3 square root of 3 over denominator 4 end fraction    

The correct answer is: fraction numerator 3 square root of 3 over denominator 4 end fraction

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