406
Question
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
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
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Solution
Given,
Focal length of the mirror, f=15 cm
As image coincides with the object, image formed by convex lens should be at the centre of curvature of the convex mirror.
If the convex mirror is removed, then, also, image formed the convex lens is at the same location.
Distance of image from object=(12+8+2×f)cm
=(12+8+2×15)cm=50 cm
Focal length of the mirror, f=15 cm
As image coincides with the object, image formed by convex lens should be at the centre of curvature of the convex mirror.
If the convex mirror is removed, then, also, image formed the convex lens is at the same location.
Distance of image from object=(12+8+2×f)cm
=(12+8+2×15)cm=50 cm
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