[HELP] A Dazzling Optic Problems

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In summary, the conversation discusses how to solve a confusing optic problem involving a lens with radius r1 and r2. The main question is whether the total focus of the lens can be calculated using the equation 1/f = 1/f1+1/f2. The suggested steps for solving the problem include identifying the type of lens, writing down relevant equations, solving for unknown variables, and verifying the result by plugging in known values.
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[HELP!] A Confusing Optic Problem

Homework Statement


Prove that, according to the figure below:
gif.latex?\frac{1}{S_{1}}+\frac{n}{S_{1}^{'}}=\frac{n-1}{r_{1}}.gif

and
gif.latex?\frac{n}{S_{2}}+\frac{1}{S_{2}^{'}}=\frac{1-n}{r_{2}}.gif


34zc4jo.png


Homework Equations


gif.latex?\frac{1}{f}=(\frac{n_{2}}{n_{1}}-1)(\frac{1}{r_{1}}+\frac{1}{r_{2}}).gif



The Attempt at a Solution


I've been using the basic equation above (the integrated lenses with radius r1 and r2) but it's still confusing. Is it the total focus of the lens is 1/f = 1/f1+1/f2? And should I substitute it into the relevant equation above? After all, I still can't proceed, because I don't know what should I do next :(
 

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  • gif.latex?\frac{1}{S_{1}}+\frac{n}{S_{1}^{'}}=\frac{n-1}{r_{1}}.gif
    gif.latex?\frac{1}{S_{1}}+\frac{n}{S_{1}^{'}}=\frac{n-1}{r_{1}}.gif
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  • gif.latex?\frac{n}{S_{2}}+\frac{1}{S_{2}^{'}}=\frac{1-n}{r_{2}}.gif
    gif.latex?\frac{n}{S_{2}}+\frac{1}{S_{2}^{'}}=\frac{1-n}{r_{2}}.gif
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  • #2
It might be helpful to consider the following steps: 1. Identify the type of lens in the figure and determine what properties it has. 2. Write down the equations for the properties of the lens and any related variables.3. Use the equations to solve for the unknown variable(s).4. Verify your result by plugging in the known values and checking if the result matches the given figure.
 

FAQ: [HELP] A Dazzling Optic Problems

1. What is a dazzling optic problem?

A dazzling optic problem refers to a visual disturbance caused by bright lights, such as glare from the sun or headlights. This can result in difficulty seeing clearly and can be uncomfortable or even dangerous for individuals.

2. What are the common causes of dazzling optic problems?

The most common causes of dazzling optic problems include bright sunlight, reflections from water or snow, oncoming headlights while driving at night, and exposure to artificial light sources such as screens or bright indoor lighting.

3. How can I prevent dazzling optic problems?

To prevent dazzling optic problems, it is important to avoid direct exposure to bright lights. This can be achieved by wearing sunglasses or a hat outdoors, using anti-glare coatings on glasses or screens, and adjusting indoor lighting to reduce glare.

4. Are there any medical conditions associated with dazzling optic problems?

Yes, some medical conditions such as cataracts, corneal abrasions, and retinal disorders can increase sensitivity to bright lights and lead to dazzling optic problems. It is important to consult with a medical professional if you experience frequent or severe dazzling optic problems.

5. Can dazzling optic problems be treated?

Yes, there are various treatments available for dazzling optic problems, depending on the underlying cause. This can include wearing prescription glasses or contact lenses, using lubricating eye drops, or undergoing surgery for certain medical conditions. It is best to consult with a doctor for proper diagnosis and treatment options.

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