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Q.

A capillary tube made of a material of refractive index 2. The outer radius of the tube is 3R  and inner radius is R. The tube is filled with a liquid of refractive index 1.5 A light ray is incident on the tube at grazing incidence (angle of incidence approximately 900 ) on the outer surface of capillary tube as shown in the fig. The net angle of deviation is k0  . Find the value of ‘k’ 

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Detailed Solution

1sin900=2sinr

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 r=300
For inner surface 
 2sinC=1.5  sin900
 sinC=3/4=0.75
Using sine rule 
 3Rsinπθ=Rsinr
 sinθ=32=0.865
As θ>C  hence total internal reflection occurs. From the geometry angle of deviation is  600
 

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A capillary tube made of a material of refractive index 2. The outer radius of the tube is 3R  and inner radius is R. The tube is filled with a liquid of refractive index 1.5 A light ray is incident on the tube at grazing incidence (angle of incidence approximately ≈900 ) on the outer surface of capillary tube as shown in the fig. The net angle of deviation is k0  . Find the value of ‘k’