How far should an object be placed from a .convex lens of focal length 20 cm to obtain its image at a distance of 30 cm from the lens? What will be the height of the image if the object is 6 cm tall?
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Answer:
We know from the question that
f=20 , v=30, u=?
1/f= 1/v-1/u
Therefore, 1/20=1/30-1/u
1/20-1/30 = -1/u
3-2/60 =-1/u
1/60 =-1/u
u = -60cm
An object should be placed at distance 60 cm from the convex lens.
hì/hó = v/u
hi/6. = 30/-60
hi/6 = 1/-2
hi = -3cm
Height of image=3 cm
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