Que 1st and 2nd with explanation.

1.  A ray incident at point B at an angle of  incidence θ enters into a glass sphere and is reflected and refracted at the farther surface of the sphere, as shown.  The angle between the reflected and refracted rays at this surface is 90 ° .  If refractive index of material of sphere is 3 , the value of θ is
a )     π / 3                     b )     π / 4                 c )     π / 6                 d )     π / 12



2.  Light in incident from glass μ = 1 . 5 to water μ = 4 3 .  Find the range of deviation for which there are two angle of incidence.
a )     sin - 1 ( 8 / 9 )   t o   π / 2                   b )     0   to   sin - 1 ( 8 / 9 )           c )     0   to   cos - 1 ( 8 / 9 )                 d )     cos - 1 8 / 9 to   π / 2

Dear Student ,
2. Answer of the question 2 is given below .Kindly ask different question in different posts .

Here, if the angle of incidence is increased beyond critical angle, total internal reflection occurs and deviation decreases. So, the range of deviation is 0 to cos–1(8/9).


Regards

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