Consider the situation shown in the figure. Here
is the maximum angle for which the light suffers total internal reflection at the vertical surface. Then sin
will be:-

Text Solution
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00.75

The critical angle for this case is

or, 
Since
, we have
. From Snell's law,

or, 

or, 
If
" is greater than the critical angle,
will be smaller than this value. Thus, the maximum value of
, for which total reflection takes place at the vertical surface, is sin -1 (3/4).
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