What will be the position and nature of the image of an object positioned between C and F of a concave mirror? 

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DFCCIL Executive CBT1 Electrical 25 Aug 2023 Shift 2 Official Paper
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  1. Beyond C, real and inverted 
  2. Beyond C, virtual and erect 
  3. Between F and C, real and inverted 
  4. Between F and C, virtual and erect

Answer (Detailed Solution Below)

Option 1 : Beyond C, real and inverted 
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Detailed Solution

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The correct answer is Beyond C, real and inverted.

Key Points

  • When an object is placed between the center of curvature (C) and the focal point (F) of a concave mirror, the image formed is real, inverted, and located beyond C.
  • The image is formed by the reflection of light rays that converge after bouncing off the mirror surface.
  • The image size is larger than the object, making it magnified.
  • This type of image formation is utilized in various optical devices like telescopes and microscopes.
  • Concave mirrors are often used in applications where magnified images of objects are required.

Additional Information

  • Concave Mirrors:
    • Concave mirrors have a reflective surface that curves inward, resembling a portion of the interior of a sphere.
    • They are also known as converging mirrors because they converge incoming light rays to a focal point.
  • Center of Curvature (C):
    • It is the center of the sphere from which the concave mirror is a part.
    • The distance from the mirror to the center of curvature is called the radius of curvature.
  • Focal Point (F):
    • The point where parallel light rays converge after reflecting off the concave mirror.
    • The distance from the mirror to the focal point is called the focal length.
  • Image Formation by Concave Mirrors:
    • When an object is placed at different positions relative to the focal point and center of curvature, the nature of the image formed (real or virtual, upright or inverted) varies.
    • The mirror formula 1/f = 1/v + 1/u relates the object distance (u), image distance (v), and focal length (f).
  • Applications:
    • Concave mirrors are used in various applications such as shaving mirrors, satellite dishes, headlights, and reflecting telescopes.
    • Their ability to form magnified images makes them useful in scientific and medical instruments.
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