find v m h of object of height 4 cm placed 40 cm away from a convex lens of focal length 30cm
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Explanation:
Object distance u=−30 cm
Focal length of convex lens f=20 cm
Height of object h
o
=4 cm
Using lens formula :
v
1
−
u
1
=
f
1
∴
v
1
−
−30
1
=
20
1
⟹ v=60 cm
Magnification
h
o
h
i
=
u
v
⟹
4
h
i
=
−30
60
⟹ h
i
=−8 cm
Ratio of size of image to that of object =
∣h
o
∣
∣h
i
∣
=
4
8
=2
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