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AIIMS2016PhysicsRay Optics

For a situation shown in figure, find the refrective index of glass so that it will suffer total internal reflection at the vertical surface.

Options

  1. A1.732
  2. B1.5
  3. C1.31
  4. D1.6

Correct answer

C. 1.31

Step-by-step solution

Clearly r+i_c=90^ aligned & r=90-i_c & = i r = 60^ (90-i_c ) aligned From eqns (i) and (ii) aligned & i_c= 2 i_c 3 i_c= 2 3 or & i_c 49^ 11^ 50^ & = 1 i_c = 1 50^ =1.31 aligned

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