Question

If an object is $10.0 \mathrm{cm}$ from a converging lens that has a focal length of $5.00 \mathrm{cm},$ how far from the lens will the image be?

   If an object is $10.0 \mathrm{cm}$ from a converging lens that has a focal length of $5.00 \mathrm{cm},$ how far from the lens will the image be?

Physics Principle and Problems

Physics Principle and Problems

Paul W. Zitzewitz,… 1st Edition

Chapter 18, Problem 83

Instant Answer

Solved by Expert Mayukh Banik

05/26/2020

Step 1

Step 1: We start by using the lens equation, which is given by: \[ \frac{1}{f} = \frac{1}{d_o} + \frac{1}{d_i} \] where \(f\) is the focal length, \(d_o\) is the object distance, and \(d_i\) is the image distance. Show more…

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If an object is $10.0 \mathrm{cm}$ from a converging lens that has a focal length of $5.00 \mathrm{cm},$ how far from the lens will the image be?

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Key Concepts

Thin Lens Equation

The thin lens equation, given by 1/f = 1/do + 1/di, is a fundamental relation in geometric optics that links the focal length of a lens with the distances from the lens to the object (do) and the image (di). This equation is key to determining where an image will form relative to a lens.

Converging Lens

A converging lens, often referred to as a convex lens, is a type of lens that bends parallel rays of light inward so that they meet at a focal point. Its ability to converge light is characterized by having a positive focal length, which plays a critical role in image formation.

Focal Length

The focal length is the distance from the center of the lens to its focal point, where light rays parallel to the optical axis converge after passing through the lens. This parameter is crucial for determining the degree of convergence or divergence of the lens and directly affects the image formation process.

Object and Image Distance

The object distance is the separation between the object and the lens, while the image distance is the separation between the lens and the formed image. These distances are essential components in applying the thin lens equation to predict the position and characteristics of the image produced by the lens.

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