Where Will the Coin's Final Image Be and What Will Its Magnification Be?

In summary, a converging lens with a focal length of 7.740 cm is placed 19.7 cm to the left of a diverging lens with a focal length of -5.51 cm. A coin is placed 18.2 cm to the right of the diverging lens. The location of the coin's final image can be found using an appropriate equation, as the thin lens equation did not work. The magnification of the coin's final image can also be calculated using the same equation.
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marisol
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Homework Statement



A converging lens of focal length 7.740 cm is 19.7 cm to the left of a diverging lens of focal length -5.51 cm. A coin is placed 18.2 cm to the right of the diverging lens

a. Find the location of the coin's final image.

b. Find the magnification of the coin's final image.


Homework Equations



I tried the thin lens equation but that gave the wrong answers. I am not sure as to what equation to use.

The Attempt at a Solution

 
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  • #2
I recently tried the thin lens equation and that gave wrong answers so I'm not sure what equation to use.
 

FAQ: Where Will the Coin's Final Image Be and What Will Its Magnification Be?

What is the difference between a diverging and converging lens?

A diverging lens is a lens that causes light rays to spread out or diverge, while a converging lens is a lens that causes light rays to come together or converge.

How do you identify a diverging or converging lens?

A diverging lens is typically thinner at the center than at the edges, while a converging lens is typically thicker at the center than at the edges. Additionally, a diverging lens will always have a negative focal length, while a converging lens will have a positive focal length.

What are the applications of diverging and converging lenses?

Diverging lenses are commonly used in eyeglasses and binoculars, while converging lenses are used in cameras, microscopes, and telescopes. They are also used in optical instruments such as projectors and magnifying glasses.

How do diverging and converging lenses affect the image formed?

A diverging lens will always create a virtual image that is smaller than the object, while a converging lens can create both real and virtual images, depending on the placement of the object relative to the lens. Additionally, a converging lens will produce a larger image than the object if the object is placed within the focal length of the lens.

What is the difference between the focal length of a diverging and converging lens?

The focal length of a diverging lens is always negative, while the focal length of a converging lens is always positive. Additionally, the focal length of a diverging lens will be shorter than the focal length of a converging lens with the same curvature.

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