A thin rod of length 17.7 cm is placed along the principal axis of a convex lens (focal length 13.7 cm), with its near end distance 82 cm from the optical center. Find the length of the image, in cm.

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**Problem Statement:**

A thin rod of length 17.7 cm is placed along the principal axis of a convex lens (focal length 13.7 cm), with its near end distance of 82 cm from the optical center. Find the length of the image, in cm.

**Explanation:**

- **Principal Axis:** The principal axis is a straight line that passes through the center of the lens and the optical center, extending on both sides.

- **Convex Lens:** In this context, a convex lens is a lens that converges light rays to a point, known as the focal point.

- **Focal Length (f):** The distance from the lens to the focal point, given as 13.7 cm.

- **Object Placement:** The rod is placed along the principal axis, with the near end at a distance of 82 cm from the optical center.

**Objective:**

Calculate the length of the image created by the convex lens, in centimeters.
Transcribed Image Text:**Problem Statement:** A thin rod of length 17.7 cm is placed along the principal axis of a convex lens (focal length 13.7 cm), with its near end distance of 82 cm from the optical center. Find the length of the image, in cm. **Explanation:** - **Principal Axis:** The principal axis is a straight line that passes through the center of the lens and the optical center, extending on both sides. - **Convex Lens:** In this context, a convex lens is a lens that converges light rays to a point, known as the focal point. - **Focal Length (f):** The distance from the lens to the focal point, given as 13.7 cm. - **Object Placement:** The rod is placed along the principal axis, with the near end at a distance of 82 cm from the optical center. **Objective:** Calculate the length of the image created by the convex lens, in centimeters.
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