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CBSE Class 10 Science 2023 Delhi Set 2

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Question : 9 of 11
Marks: +1, -0
(A) An object is kept at a distance of 1m1 \text{m} from a lens of power +2D+2 D :
(i) Identify the type of lens.
(ii) Calculate its focal length and distance of the image formed.
OR
(B) Define the following terms in the context of a diverging lens:
(i) Principal focus.
(ii) Focal length.
Draw a labelled ray diagram to illustrate your answer.
Solution:  
(A) (i) The given lens is a convex lens as power of convex lens is positive.
(ii)
P  =  1fP\;=\;\frac{1}{f}
+2  =  1f+2\;=\;\frac{1}{f}
f  =  +0.50mf\;=\;+0.50 \text{m}
Its focal length is +0.50m+0.50 \text{m}.
Using the relation 1f  =  1v  −  1u\frac{1}{f}\;=\;\frac{1}{v}\;-\;\frac{1}{u}
1v  =  1f  +  1u\frac{1}{v}\;=\;\frac{1}{f}\;+\;\frac{1}{u}
  =  10.5  +  −11  =  2+(−1)1\;=\;\frac{1}{0.5}\;+\;\frac{-1}{1}\;=\;\frac{2+(-1)}{1}
v  =  1mv\;=\;1 \text{m}
OR
OR
(B) (i) Principal focus: Several rays of light parallel to the principal axis are falling on a concave lens. These rays, after refraction from the lens, are appearing to diverge from a point on the principal axis. This point on the principal axis is called the principal focus of the concave lens.
(ii) Focal length: The distance of the principal focus from the optical centre of a lens is called its focal length. The letter ff is used to represent the focal length.
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