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ICSE Class 10 Answered

Q. An object is placed at a distance of 24 cm in front of a convex lens of focal length 8 cm. (i) What is the nature of the image formed? (ii) Calculate the distance of the image from the lens. (iii) Calculate the magnification of the image.
Asked by akshushashu123 | 06 Mar, 2019, 10:00: AM
answered-by-expert Expert Answer
u = - 24 cm 
f = 8 cm ...(focal length of convex lens) 
 
1 over f equals space 1 over v minus 1 over u 1 over v space equals space 1 over f plus 1 over u 1 over v equals 1 over 8 plus fraction numerator 1 over denominator negative 24 end fraction equals 1 over 12 v space equals space 12 space c m space T h u s space i m a g e space i s space f o r m e d space a t space a space d i s tan c e space o f space 12 space c m space b e h i n d space t h e space l e n s.
 
 
The image is formed to the right so, the image formed will real and inverted.
 
Magnification of image is given by,
 
m = v/u = 12/-24 = - 0.5 
 
This implies that magnification is -0.5 which means image is diminished. 
Answered by Shiwani Sawant | 06 Mar, 2019, 10:34: AM

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