Glycerine (refractive Index 1.4) Is Poured Into A Large Jar Of Radius 0.2 M To A Depth Of 0.1 M. There Is A Small Light Source At The Centre Of The Bottom Of The Jar. Find The Area Of The Surface Of Glycerine Through Which The Light Passes.  

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Glycerine (refractive index 1.4) is poured into a large jar of radius 0.2 m to a depth of 0.1 m. There is a small light source at the centre of the bottom of the jar. Find the area of the surface of glycerine through which the light passes.  


Correct option is

0.0327 m2


Let S be the light source. If light falls on the surface at critical angle c, it grazes along the surface, as shown. Now,


from the figure, we have




The area of the surface through which light passes is




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