What is the nature of the image formed by a convex lens when the object is placed at twice the focal length?

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Q: What is the nature of the image formed by a convex lens when the object is placed at twice the focal length?

Solution: When the object is at 2f, the image is formed at 2f on the opposite side, making it real and inverted.

Steps: 6

Step 1: Understand what a convex lens is. A convex lens is thicker in the middle and bends light rays inward.
Step 2: Know the focal length (f) of the lens. This is the distance from the lens to the point where light rays converge.
Step 3: Identify the position of the object. In this case, the object is placed at twice the focal length (2f) from the lens.
Step 4: Use the lens formula to find the image position. When the object is at 2f, the image will also form at 2f on the opposite side of the lens.
Step 5: Determine the nature of the image. Since the image is formed on the opposite side of the lens, it is a real image.
Step 6: Check the orientation of the image. The image formed is inverted, meaning it is upside down compared to the object.