The magnification of an image formed by a lens is -1 if the distance of the image form the optical center of the lens is 25 cm, where is the object placed? Find the nature and focal length of the lens. If the object is displaced 15 cm towards the optical center of the lens, where would the image be formed? Draw a ray diagram to justify your answer. [f = 12.5, v = -50]
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Explanation:
m=-1
m=-1v=+25
m=-1v=+25v/u=m
m=-1v=+25v/u=mu=-25cm
m=-1v=+25v/u=mu=-25cm1/f=1/v-1/u
1/f=2/25
f=12.5
new image
f=12.5
u=-10
1/f=1/v-1/u
2/25-1/10=1/v
v=-5/250
v=-50cm
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