An object of 6cm In size is placed 50cm in front of the convex lens of focal length 30cm. At what distance from the lens should the lens be placed so that we could obtain a erect and diminished image. Draw a ray diagram to show that.
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Explanation:
Height of object = +6 cm
Object distance = -50 cm
Focal length = +30 cm
Lens formula = 1/f = 1/v - 1/u
1/v = 1/f + 1/u
1/v = 1/30 - 1/50
= 5-3/150
= 2/150
Image distance = 150/2 = +75.5 cm
height of image = image distance
height of object object distance
h = 75.5 x 6
- 50
h = +9.06 cm
Hence image formed is virtual, erect, and magnified
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