Let's solve the problem **step by step** with detailed explanations: ### **Given:** - **Convex (Diverging) mirror** - **Object outside focal length** (Object is to the left of F) - **We need to use ray tracing to find the image location and properties** --- ### **Step 1: Draw the Mirror and Principal Axis** - The curved line represents the **convex mirror**. - The straight horizontal line is the **principal axis**. - F = focal point (for a convex mirror, it is virtual and behind the mirror). - C = center of curvature (also virtual, behind the mirror). --- ### **Step 2: Draw the Object** - Place the object (an arrow) upright on the left side, outside the focal length. --- ### **Step 3: Ray Tracing for Convex Mirror** For **convex mirrors**, follow these common rays: #### **Ray 1: Parallel Ray** - Draw a ray from the top of the object **parallel to the principal axis** toward the mirror. - After reflecting, this ray **appears to diverge** from the focal point (F) behind the mirror. #### **Ray 2: Ray Toward Focal Point** - Draw a ray from the top of the object **aimed toward the focal point (F)** behind the mirror. - When it hits the mirror, it reflects **parallel to the principal axis**. #### **Ray 3: Ray to the Center (C)** - Draw a ray from the top of the object **directed toward the center of curvature (C)**. - It will reflect back along the same path (for completeness, but not always needed for convex mirrors). --- ### **Step 4: Locate the Image** - The **reflected rays diverge**. Extend the reflected rays **backward behind the mirror**. - The **virtual image** is formed **where the extensions of the reflected rays intersect**. --- ### **Step 5: Image Properties** From the ray diagram and properties of convex mirrors: - **Location:** The image is **behind the mirror**, between F and the mirror surface. - **Nature:** Virtual (cannot be projected on a screen). - **Size:** Diminished (smaller than the object). - **Orientation:** Erect (upright). - **Focal Length:** Negative for convex mirror. --- ### **Step 6: Final Summary Table** | Property | Convex (Diverging) Mirror Result | |--------------------|------------------------------------------| | Focal Length | Negative | | Image Location | Behind mirror, between F and mirror | | Image Nature | Virtual | | Image Size | Diminished | | Image Orientation | Erect (upright) | --- ## **Final Answer:** **For a convex (diverging) mirror with the object outside the focal length:** - The image will be **virtual, diminished, and upright**, and it will appear **behind the mirror, between the focal point and the mirror surface**. --- **If you'd like to see the ray diagram drawn out, let me know!**