How do I know if the image is real or virtual?

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SUMMARY

The discussion centers on determining whether an image produced by a lens is real or virtual, specifically using the magnification formula m = - (v/u). The user grapples with understanding the conditions under which an image is considered real or virtual, particularly in relation to the object's position relative to the focal length of a converging lens. It is established that when the object is positioned between the optical center and the focal length, the image is virtual, as exemplified by the use of a magnifying glass.

PREREQUISITES
  • Understanding of lens optics, specifically converging lenses
  • Familiarity with the magnification formula m = - (v/u)
  • Knowledge of focal length and its significance in image formation
  • Ability to interpret ray diagrams for lenses
NEXT STEPS
  • Study ray diagrams for converging lenses to visualize image formation
  • Learn about the properties of real and virtual images in optical systems
  • Explore the concept of focal length and its impact on image characteristics
  • Investigate practical applications of lenses, such as magnifying glasses and cameras
USEFUL FOR

Students of physics, particularly those studying optics, educators teaching lens behavior, and anyone interested in the practical applications of lenses in everyday devices.

izMuted
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Homework Statement


ae476d4f6593d54e328badcc49f9ecd0.png

I know that the object distance is 15 using the equation m = - (v/u)
(+ or - depending on real / virtual) 2 = (+ or -) 30/u
u = 15

However how do I know if the image is real or virtual?

Homework Equations


m = - (v/u)

The Attempt at a Solution

 
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Have you tried drawing the diagram, something like this:
u14l5c1.gif


Where would the image have to be to be bigger than the object?

Which side is known as the real side, which side is known as the virtual side and why?
 
How do I draw the diagram when I don't know if the object is within / outside the focal length?
Also I used to think that because the image is bigger it must be virtual, however there are some diagrams on the internet where the image is bigger and the object is outside the focal length, like here:
u14l5da6.gif
 
"the lens is used as a magnifying glass"- usually when using a magnifying glass is the image virtual or real?
 
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As far as I know, in a converging lens, only when the object is between the optical centre and the focal length that the image is virtual (i.e. the setting used in a magnifying glass).
 
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Ah yeah the magnifying glass part makes sense - thanks for explaining
 
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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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