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JEE Mains · Physics · STD 12 - 9. Ray optics and optical instruments

An object is placed at a distance of \(12 \,{cm}\) from a convex lens. A convex mirror of focal length \(15 \,{cm}\) is placed on other side of lens at \(8 \,{cm}\) as shown in the figure. Image of object coincides with the object.When the convex mirror is removed, a real and inverted image is formed at a position. The distance of the image from the object will be ..... \((cm)\)

  1. A \(350\)
  2. B \(250\)
  3. C \(50\)
  4. D \(150\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(50\)

Step-by-step Solution

Detailed explanation

For the object to coincide with image, the light must fall perpendicularly to mirror. Which means that the light will have to converge at \({C}\) of mirror. Without the mirror also, the light would coverage at \({C}\). So the distance is : \(12+8+30=50 \,{cm}\)
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