MathematicsDraw a ray diagram represent the nature , position and relative size of the image formed by a convex lens for the object placed :i) Convex lens for the object placed at 2Fii) Concave lens for the object placed between F and 2F

Draw a ray diagram represent the nature , position and relative size of the image formed by a convex lens for the object placed :


i) Convex lens for the object placed at 2F


ii) Concave lens for the object placed between F and 2F


  1. A
  2. B
  3. C
    Both a and b
  4. D
    None of these 

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    Solution:


    Concept: Let's start with a principal axis and a lens with a focal point of F
    I) A convex lens, also known as a converging lens, can be used to create a true image, but we receive an inverted image since the item is positioned at a distance greater than the focal length of the convex lens, as illustrated in figure 1. The object is put at a 2F distance from the lens's centre, therefore the image is created at 2F, but it is on the opposite side of the lens and is the same size as the object.
    ii) A concave lens, also known as a diverging lens, can be used to create a virtual image, and we get a non-inverted image since the item is positioned at a distance greater than the concave lens' focal length, as illustrated in figure 2. The image is created at a distance less than F and is smaller than the original item since the object is situated between F and 2F.
    Hence, option 3 is correct.
     
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