One half of a convex lens of focal length 10 cm is covered with
a black paper. Can such a lens produce an image of a complete
object placed at a distance of 30 cm from the lens?
can anyone help me
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Answer:
1.A convex lens can produce the complete image of the object even though half of the lens is covered .
Because light rays coming from the object can be refracted from the other part of the lens.
Refer the attachment for ray diagram.
2.Given:
height of object= 4cm=h0
focal length=f=20cm.
u=-15cm after sign conventions.
by lens formula,
1/f=1/v-1/u
1/v=1/f+1/u=1/20-1/15=3-4/60=-1/60
v=-60cms
m=v/u
m=hi/ho=v/u
hi=hoxv/u
=4x(-60)/(-15)=8cm
hi=8cm
∴ Position of image is 60cm in front of lens
size of image is 8cm
nature of image is virtual and erect.
I hope it helps you♥️♥️
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