An object is placed at a distance twice the focal length of a concave mirror. What is the image formed?

When an object is placed at a distance twice the focal length (2f) of a concave mirror, the image formed is a real and inverted image that is the same size as the object. Here are the key characteristics of the image formed in this scenario:

  1. Image Position: The image is formed between the focal point (F) and twice the focal length (2f) from the concave mirror. The image is located beyond the center of curvature (C) but closer to the focal point. In other words, the image is a real image and is located on the same side of the mirror as the object.
  2. Image Size: The size of the image is the same as the size of the object. It is not magnified or reduced; it is a one-to-one size ratio.
  3. Image Orientation: The image is inverted, which means it is upside down compared to the object.
  4. Nature of Image: Since the image is real and inverted, it is a “real image.” Real images can be projected onto a screen because light rays actually converge at the image location.

The formation of a real and inverted image at 2f in front of a concave mirror is a specific case of mirror optics that results from the characteristics of concave mirrors. This is a key principle in ray optics and is commonly used in applications such as makeup mirrors and reflecting telescopes.

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