Q84 / 90 · JEE Main 2021 (26 Aug Shift 2) · Physics

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 another side of the lens at 8 cm as shown in the figure. The image of the object coincides with the object.

Figure

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

Correct answer: 50

Solution

Figure

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

Hence, the correct answer is 50.

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