Where is the location of an object to produce an image that has same size with theobject in convex lens?

To produce an image that is the same size as the object in a convex lens, the object must be placed at 2F (twice the focal length) from the lens. Here are the steps to understand this:

1. Understand the lens: A convex lens is a converging lens that bends light rays inward, causing them to converge at a single point known as the focal point. The distance from the lens to this point is the focal length (F).

2. Position of the object: To get an image of the same size as the object, the object needs to be placed at twice the focal length (2F) from the lens. This is also known as the center of curvature of the lens.

3. Image formation: When the object is at 2F, the image is formed at 2F on the other side of the lens. The image is inverted (upside down) but is the same size as the object.

4. Verification: This can be verified using ray diagrams. When you draw the rays, you'll see that the rays of light coming from the object converge at the same point on the other side of the lens, forming an image that is the same size as the object.

Remember, this is a theoretical scenario. In real life, lenses are not perfect and there may be some distortion or aberration.