In the image, there is a diagram illustrating an optical system consisting of a diverging lens and a concave spherical mirror, with an object placed halfway between the two. The distance between the lens and mirror is \( d = 23.7 \, \text{cm} \). The mirror's radius of curvature is \( 20.5 \, \text{cm} \), and the lens has a focal length of \( f_{\text{lens}} = -18.4 \, \text{cm} \).### Diagram Description:- **Lens:** Represented on the left, diverging in nature.- **Object:** Positioned in the middle between the lens and the mirror.- **Mirror:** A concave spherical mirror is shown on the right.- **Optical Axis:** A horizontal line passing through the centers of the lens, object, and mirror.### Questions and Answers:#### (a) Considering only the light that leaves the object and travels first toward the mirror, locate the final image formed by this system.- **Image Distance:** - Answer field: [Input box] cm- **Image Location:** - Dropdown option selected: "to the right of the lens" ✔️#### (b) Is this image real or virtual?- **Options:** - ○ real - ● virtual ✔️#### (c) Is it upright or inverted?- **Options:** - ● upright ✔️ - ○ inverted#### (d) What is the overall magnification?- **Overall Magnification:** - Answer field: [Input box]This educational resource explains how to analyze the formation of images in optical systems comprising lenses and mirrors, utilizing concepts like image distance, type, orientation, and magnification.

Note: All distances to the left of mirror/ lens is taken as negative and all distances to the right of mirror/lens is positive.Given data :-R1= -20.5 cm (radius of curvature of mirror)f1=R1/2=-10.25 cm (focal length of mirror)f2=-18.4 cm (focal length of lens)d=23.7 cm (distance between lens and mirror)For concave mirrorU1=-(d/2)=-23.7/2=-11.85 cm (object distance for mirror)f1=-10.25 cmUsing mirror formula we get magnification is given by For concave lensa) Final image is formed 13.61 cm to the left of the lens.d) Total magnification is given by:- M = m1= -6.41 x 0.26 = - 1.67

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In the figure below, a diverging lens and concave spherical mirror are positioned along an optical axis, with an object half way between the two. The distance between the lens and mirror is d = 23.7 cm. The magnitude of the mirror's radius of curvature is 20.5 cm, and the lens has a focal length of flens = -18.4 cm. Lens Object Mirror (a) Considering only the light that leaves the object and travels first toward the mirror, locate the final image formed by this system. (Give the magnitude of the image distance in cm, and select its location with respect to the lens.) image distance cm image location to the right of the lens ✔ (b) Is this image real or virtual? O real O virtual (c) Is it upright or inverted? Ⓒupright O inverted (d) What is the overall magnification?

In the figure below, a diverging lens and concave spherical mirror are positioned along an optical axis, with an object half way between the two. The distance between the lens and mirror is d = 23.7 cm. The magnitude of the mirror's radius of curvature is 20.5 cm, and the lens has a focal length of flens = -18.4 cm. Lens Object Mirror (a) Considering only the light that leaves the object and travels first toward the mirror, locate the final image formed by this system. (Give the magnitude of the image distance in cm, and select its location with respect to the lens.) image distance cm image location to the right of the lens ✔ (b) Is this image real or virtual? O real O virtual (c) Is it upright or inverted? Ⓒupright O inverted (d) What is the overall magnification?

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

In the image, there is a diagram illustrating an optical system consisting of a diverging lens and a concave spherical mirror, with an object placed halfway between the two. The distance between the lens and mirror is \( d = 23.7 \, \text{cm} \). The mirror's radius of curvature is \( 20.5 \, \text{cm} \), and the lens has a focal length of \( f_{\text{lens}} = -18.4 \, \text{cm} \).

### Diagram Description:
- **Lens:** Represented on the left, diverging in nature.
- **Object:** Positioned in the middle between the lens and the mirror.
- **Mirror:** A concave spherical mirror is shown on the right.
- **Optical Axis:** A horizontal line passing through the centers of the lens, object, and mirror.

### Questions and Answers:

#### (a) Considering only the light that leaves the object and travels first toward the mirror, locate the final image formed by this system.

- **Image Distance:**
- Answer field: [Input box] cm
- **Image Location:**
- Dropdown option selected: "to the right of the lens" ✔️

#### (b) Is this image real or virtual?

- **Options:**
- ○ real
- ● virtual ✔️

#### (c) Is it upright or inverted?

- **Options:**
- ● upright ✔️
- ○ inverted

#### (d) What is the overall magnification?

- **Overall Magnification:**
- Answer field: [Input box]

This educational resource explains how to analyze the formation of images in optical systems comprising lenses and mirrors, utilizing concepts like image distance, type, orientation, and magnification.

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