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Question

One end of a cylindrical glass rod shown in figure ends in a hemispherical surface of radius R = 20 mm.
-Let the same rod be immersed in water of index 1.33, the other quantities having the same values as before. Find the image distance.


A

120 mm

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B

-120 mm

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C

180 mm

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D

-180 mm

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Solution

The correct option is D

-180 mm



1.5v1.3380=1.51.3320,v=180 mm.
The fact that v is negative means that the rays, after reflection by the surface are not converging but appear to diverge from a point 180 mm to the left of the vertex. In this illustration, then the surface forms a virtual image 180 mm to the left of the vertex.


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