When an object is placed in front of a convex lens of focal length 6cm, a real image, five times bigger than the object forms. Calculate the object distance.
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Answer:
Focal length of the convex lens f=30cm
A convex lens forms a magnified real image when the image is inverted i.e. magnification must be negative.
Magnification of the lens m=−5
Using lens formula
v
1
−
u
1
=
f
1
We get
f
v
=1−m
∴
30
v
=1−(−5)
⟹ v=180cm
Using m=
u
v
(for lens)
∴ −5=
u
180
⟹ u=−36cm
Thus the object distance must be 36cm in front of the lens.
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