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?

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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.
Transcribed Image Text: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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