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CBSE Class 10 Science 2016 Term II Outside Delhi Set 2

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Question : 11 of 12
Marks: +1, -0
The image of an object formed by a lens is of magnification - 1 . If the distance between the object and its image is 60 cm60\,\text{cm}, what is the focal length of the lens ? If the object is moved 20 cm20\,\text{cm} towards the lens, where would the image be formed ? State reason and also draw a ray diagram in support of your answer.
Solution:  
Magnification =−1=-1 i.e., image is inverted and of same size. It means, object is at 2F2F and image is also at 2F2F.
Therefore, distance between uu and v=4Fv=4F =60 cm=60\,\text{cm}.
∴  F=604=15 cm\therefore\; F=\frac{60}{4}=15\,\text{cm}
Object will be at =2F=30 cm=2F=30\,\text{cm}.
If the object is shifted towards the lens by 20 cm\text{cm}, the new object distance will be at 10 cm10\,\text{cm} from the lens. This distance is less than the focal length, so the image formed in this case would be virtual, erect and on the same side.
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