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rajan jha Grade: 12
        

A glass vessel in the shape of triangular prism {XYZ} is filed with water and light is incident normaly on the face XY. If the refractive indices of water and glas is 4/3 and 3/2,total internal reflection will ocur at the glass-air surface only for sin¥ greater than _____?[¥=angle of prism]

6 years ago

Answers : (1)

vikas askiitian expert
510 Points
										

draw a prism XYZ with verticle angle Y = angle of prism


now draw a ray which is passing  through XY & touching XZ....


at XZ let its angle with normal is i...


applying snells law


  sini/sinr = ng/nw = 3/2/4/3=9/8 ............1


now this ray is making an angle r with normal of glass surface ...     


again applying snells law


sinr/sinr1 = nair/ng                               (angle of incidence is r)


sinr/sin90 >or= 1/3/2                       (for total internal reflaction ,r1 = 90)


sinr = or > 2/3                           


from eq 1


8sini/9 >or=2/3


 sini >or=3/4      ............................2


now find relation in bw i(angle of incidence) & Y(angle of prism) by using geometry  & put in eq 2


 

6 years ago
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