Convex Lens Problem: Find Focal Length

In summary, a convex lens is a type of lens that is thicker at the center and thinner at the edges, and it converges parallel rays of light to a focal point. The focal length of a convex lens can be found using the formula f = 1/(n-1)(1/r1 + 1/r2), where n is the refractive index, r1 is the radius of curvature of the first surface, and r2 is the radius of curvature of the second surface. The focal length of a convex lens is directly proportional to the radius of curvature of its surfaces, meaning that a smaller radius of curvature results in a shorter focal length and a larger radius of curvature results in a longer focal length. Convex lenses are
  • #1
Siddharth Venu
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A screen is placed 90cm from a object. The image of the object on the screen is formed by a convex lens at
two different locations separated by 30cm. The focal length of the lens is what?
 
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You can't just post a homework question and expect to get a response here. Start another thread, use the template, and show some effort towards a solution. You get help here, not answers.
 

1. What is a convex lens?

A convex lens is a type of lens that is thicker at the center and thinner at the edges. It is also known as a converging lens because it converges parallel rays of light to a focal point.

2. How do you find the focal length of a convex lens?

The focal length of a convex lens can be found by using the formula: f = 1/(n-1)(1/r1 + 1/r2), where f is the focal length, n is the refractive index of the lens material, r1 is the radius of curvature of the first surface, and r2 is the radius of curvature of the second surface.

3. What is the relationship between the focal length and the radius of curvature of a convex lens?

The focal length of a convex lens is directly proportional to the radius of curvature of its surfaces. This means that a lens with a smaller radius of curvature will have a shorter focal length, while a lens with a larger radius of curvature will have a longer focal length.

4. How can we use a convex lens to produce a magnified image?

A convex lens can produce a magnified image by placing an object farther than the lens' focal length from the lens. This will create a virtual and enlarged image on the opposite side of the lens from the object.

5. What are some common applications of convex lenses?

Convex lenses have various applications in our daily lives, such as in eyeglasses, cameras, projectors, and telescopes. They are also used in scientific instruments, such as microscopes and spectacles, and in industrial equipment, such as lasers and barcode scanners.

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