**Problem Statement:**A candle is placed 21.63 cm in front of a convex mirror. When the convex mirror is replaced with a plane mirror, the image moves 7.0 cm farther away from the mirror. Find the focal length of the convex mirror.**Variables:**- Object distance \( = 21.63 \) cm- Image movement with plane mirror replacement \( = 7.0 \) cm**Task:**Calculate the focal length \( f \) of the convex mirror using the given information. **Notes:**- In the context of mirrors, understand that a convex mirror forms a virtual image.- Replacement by a plane mirror suggests that the image formed by the convex mirror was 7.0 cm closer to the mirror than in the case of the plane mirror. **Solution Method:**- Use the mirror equation and consider the behavior of light rays to establish the relation between object distance (given), image distance (derived), and the focal length (to find).**Interaction:**- Input fields are present for computations related to \( f \).**Additional Resources:**- Access to eTextbook and Media for further reading and examples.

The distance of the candle is, u = - 21.63 cmThe distance of image motion is, a = 7.0 cm

A candle is placed 21.63 cm in front of a convex mirror. When the convex mirror is replaced with a plane mirror, the image moves /. cm farther away from the mirror. Find the focal length of the convex mirror. f= eTextbook and Media

A candle is placed 21.63 cm in front of a convex mirror. When the convex mirror is replaced with a plane mirror, the image moves /. cm farther away from the mirror. Find the focal length of the convex mirror. f= eTextbook and Media

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Applications Of Reflection Of Light

When a light ray (termed as the incident ray) hits a surface and bounces back (forms a reflected ray), the process of reflection of light has taken place.

Sign Convention for Mirrors

A mirror is made of glass that is coated with a metal amalgam on one side due to which the light ray incident on the surface undergoes reflection and not refraction.

Question

**Problem Statement:**

A candle is placed 21.63 cm in front of a convex mirror. When the convex mirror is replaced with a plane mirror, the image moves 7.0 cm farther away from the mirror. Find the focal length of the convex mirror.

**Variables:**

- Object distance \( = 21.63 \) cm
- Image movement with plane mirror replacement \( = 7.0 \) cm

**Task:**

Calculate the focal length \( f \) of the convex mirror using the given information.

**Notes:**

- In the context of mirrors, understand that a convex mirror forms a virtual image.
- Replacement by a plane mirror suggests that the image formed by the convex mirror was 7.0 cm closer to the mirror than in the case of the plane mirror.

**Solution Method:**

- Use the mirror equation and consider the behavior of light rays to establish the relation between object distance (given), image distance (derived), and the focal length (to find).

**Interaction:**

- Input fields are present for computations related to \( f \).

**Additional Resources:**

- Access to eTextbook and Media for further reading and examples.

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