# Converging Meniscus Lens, Filled with Fluid

• BOAS
In summary, the problem involves finding the focal length of a combination of a converging meniscus lens made of glass and carbon tetrachloride. The lensmakers equation is used to find the focal length of the meniscus lens, and the result from part (i) is used to combine it with the focal length of the carbon tetrachloride. The carbon tetrachloride behaves like a lens with equal radii of curvature on both sides.
BOAS

## Homework Statement

A converging meniscus lens is made of glass with index of refraction n = 1.55, and its sides have radii of curvature of 4.5 cm and 9 cm. The concave surface is placed upward and filled with carbon tetrachloride which has index of refraction n' = 1.46. Using the result in (i), or otherwise, determine the focal length of the combination of glass and carbon tetrachloride.

## The Attempt at a Solution

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"The result in (i)" is that $\frac{1}{f_{1}} + \frac{1}{f_{2}} = \frac{1}{f}$ for two thin lenses in contact.

I think the way to approach this problem is to use the lensmakers equation to find the focal length of the converging meniscus lens, and again to find the focal length of the 'lens' formed by the carbon tetrachloride. Using the result from part (i) to combine them completes the problem.

For the meniscus lens I have $\frac{1}{f} = (n-1)(\frac{1}{R_{1}} - \frac{1}{R_{2}})$

which works out the focal length to be $f_{1} = 0.16$m.

My question is how to treat the second lens... Can I say that the fluid will behave like a lens with both sides having equal radius of curvature, as given by the meniscus lens it's sitting inside?

It seems to me that the fluid will have a meniscus, so saying it has a flat surface seems wrong, but at the same time, I can't think how to justify the meniscus having the same radius of curvature as that of the lens it's sitting in.

I hope that makes sense,

thanks!

Sorry - This post can be deleted - I am expected to treat the surface as flat.

## 1. What is a converging meniscus lens filled with fluid?

A converging meniscus lens filled with fluid is a type of lens that has two curved surfaces, with one surface being convex and the other being concave. The lens is filled with a fluid, typically water or oil, which helps to increase its refractive power.

## 2. How does a converging meniscus lens filled with fluid work?

The curved surfaces of the lens cause light to bend as it passes through the lens, focusing the light and creating a magnified image. The fluid inside the lens helps to make the lens more powerful, allowing for greater magnification.

## 3. What are the advantages of using a converging meniscus lens filled with fluid?

The use of a fluid-filled meniscus lens allows for a larger aperture, which results in a brighter and clearer image. Additionally, the fluid inside the lens helps to reduce spherical aberration, resulting in a more accurate and sharper image.

## 4. How is a converging meniscus lens filled with fluid used in scientific research?

This type of lens is commonly used in microscopy and other imaging techniques, allowing scientists to view objects at a magnified level. It is also used in various optical instruments, such as telescopes and cameras, to improve their optical performance.

## 5. Are there any limitations to using a converging meniscus lens filled with fluid?

One limitation is that the lens may be prone to distortion if it is not properly supported. Additionally, the fluid inside the lens can evaporate over time, which can affect the lens's performance. The lens may also be more expensive and complex to manufacture compared to other types of lenses.

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