A glass plate having an index of refraction is 1.66 is immersed in a certain alcohol. The surface of the glass is inclined at an angle of 44° with the vertical. When a horizontal ray in the glass strikes the interface, you observe that it is at the critical angle. What is the index of refraction of the alcohol?

Respuesta :

Answer:

1.153

Explanation:

Refractive index of glass with respect to alccohol

=[tex]\frac{refractive index of glass}{refractive index of alcohol}[/tex]

=[tex]\frac{1.66}{x}[/tex]

Refractive index of glass with respective respect to alcohol

= [tex]\frac{1}{\sin C}[/tex]

Critical angle C is angle made in denser medium by ray of light with the vertical on the surface. In this case it is 44 degree.

So , [tex]\frac{1}{\sin C}[/tex] =[tex]\frac{1.66}{x}[/tex]

x = 1.66 \times \sin44

= 1.66 x 0.694

=1.153