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`        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]`
7 years ago

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

```
7 years ago
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