Optic question about a positive-meniscus lens

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In summary, mrquanta was asked to find the angle \theta, the height h2, and the back focal length in terms of the radius of curvatures. They were unable to draw a line and asked for help in solving the problem. They were given a suggestion to calculate the angle of incidence using basic geometry and Snell's Law.
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mrquanta
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i was asked to find the angle [tex]\theta[/tex], the height h2, and the back focal length in terms of the radius of curvatures. I'm really stunned that i couldn't draw a line. thanks in advance.

http://img94.imageshack.us/img94/8336/lens.png
 
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Hi mrquanta, welcome to PF!:smile:

You must show some attempt at a solution to receive help. We are not here to do your homework for you.

Why not start by calculating the angle of incidence (in terms of [itex]h_1[/itex] and [itex]R_2[/itex], via basic geometry) of the oncoming ray on the leftmost surface?...What does knowing that angle of incidence allow you to calculate (via Snell's Law)?:wink:
 

FAQ: Optic question about a positive-meniscus lens

What is a positive-meniscus lens?

A positive-meniscus lens is a type of lens that has a curved convex surface and a curved concave surface, with the convex side facing towards the object. This shape causes light rays to converge, resulting in a magnified image.

What is the function of a positive-meniscus lens?

The function of a positive-meniscus lens is to converge light rays and form a magnified image. This type of lens is commonly used in magnifying glasses, eyeglasses, and some types of cameras.

What is the difference between a positive-meniscus lens and a negative-meniscus lens?

The main difference between a positive-meniscus lens and a negative-meniscus lens is the curvature of the surfaces. A positive-meniscus lens has a convex surface facing towards the object, while a negative-meniscus lens has a concave surface facing towards the object. This results in different properties and functions for each type of lens.

What are some common applications of positive-meniscus lenses?

Positive-meniscus lenses have a variety of applications, including magnifying glasses, eyeglasses, telescopes, and microscopes. They are also used in cameras and projectors to create a magnified image. In addition, positive-meniscus lenses are used in laser technology, fiber optics, and other scientific equipment.

What factors affect the performance of a positive-meniscus lens?

The performance of a positive-meniscus lens can be affected by several factors, including the curvature of the surfaces, the refractive index of the lens material, and the thickness of the lens. Other factors that can impact performance include the quality of the lens surface, the angle of incidence of light, and the wavelength of light.

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