Number of Images Formed from Reflection & Refraction

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A glass slab with a refractive index of 2 and a left spherical surface creates multiple images due to refraction and reflection. The object P, positioned 15 cm from the left surface, leads to three potential images: one from direct refraction, one from reflection off the right surface, and one from refraction followed by reflection. However, the observer E1 sees two images, while E2 sees only one. The discussion highlights the complexity of image formation in optical systems, emphasizing that while three images can theoretically exist, practical visibility may limit this. Ultimately, the conclusion suggests that the answer indicating two images is reasonable.
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Homework Statement


[/B]
A glass slab of refractive index n=2 has left spherical of radius 10cm and right surface plane.From both surfaces refraction as well as reflection takes place.A point of object P is placed at a distance 15cm from point O1.

Mark the correct option

(A)two images are seen by observed E1
(B)Only one image is seen by observer E2
(C)No images are seen by observed E1
(D)No images are seen by observed E2

Homework Equations


[/B]
None

The Attempt at a Solution


I could think of three cases

(1 ) First the object P will get refracted directly from the left spherical surface .Image no 1
(2) The object P will get reflected from the right surface plane.Image no 2
(3) The object P will get refracted from left spherical surface and then normal plane.Image no 3

So I am getting 3 images which is not in the option.Can anybody tell me what is my mistake

 

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With the geometry you'll have a hard time seeing (3), but yes, in principle it should be there. You can continue that with more reflections, but the intensity will drop quickly and the image will get more and more distorted.
 
So is my attempt correct
 
Yes, but I think "two images" is not too wrong as answer.
 
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The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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