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CBSE Class 10 Science 2017 Outside Delhi Term II Set 1 Paper

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Question : 4 of 36
Marks: +1, -0
An object is placed at a distance of 30 cm30\,\text{cm} from a concave lens of focal length 15 cm15\,\text{cm}. List four characteristics (nature, position, etc.) of the image formed by the lens.
Solution:  
Given : u=−30 cm,f=−15 cmu=-30\,\text{cm}, f=-15\,\text{cm}. (for concave lens)
We know that,
 1v− 1u= 1f\,\frac{1}{v}-\,\frac{1}{u}=\,\frac{1}{f}
 1v− 1−30= 1−15\,\frac{1}{v}-\,\frac{1}{-30}=\,\frac{1}{-15}
 1v= −115− 130\,\frac{1}{v}=\,\frac{-1}{15}-\,\frac{1}{30}
 1v= −2−130= −330= −110\,\frac{1}{v}=\,\frac{-2-1}{30}=\,\frac{-3}{30}=\,\frac{-1}{10}
v =−10 cmv\,=-10\,\text{cm}
Characteristics of image :
(i) The image is formed at a distance of 10 cm10\,\text{cm} from the concave lens on the left side.
(ii) Image formed is virtual.
(iii) Image formed is erect.
(iv) The size of the image formed is diminished.
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