A concave lens of focal length 60 cm is used to form an image of an object of length 9 cm kept at a distance of 30 cm from it use lens formula to determine the nature , position , and length of the image formed . Also draw labelled diagram to show the image formation.
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Explanation:
Focal length of concave lens, f = -60 cm
distance of object from the concave lens, u = -30
Use lens formula,
1/v -1/u = 1/f
or, 1/v -1/60 = 1/-30
or, 1/v = 1/-60 + 1/-30 =1/-60 +2/-60
or,1/v 3/-60 = 1/-20 => v = 20 cm
hence, v = 20 cm
now, magnification, m = v/u
or,m = (-20)/(-30) = 2/3 = length of image/length of object
2/3 = length of image/ 9 cm
length of image = 6 cm
hence, nature of image is virtual and diminished, image is placed between objects and lens and length of image is 6cm.
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