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Here, focal length of concave lens,
f=−15cm
f=-15cm
.
object distance,
u=?
u=?
, image distance,
v=−10cm
v=-10cm
, magnification of lens,
m=?
m=?
As
1
f
=
1
v
−
1
u
,
1
u
=
1
v
−
1
f
=
1
−10
+
1
15
=
−1
30
or
u=−30cm
1f=1v-1u,1u=1v-1f=1-10+115=-130oru=-30cm
Thus the object should be placed at a distance of 30 cm on the left side of the concave lens.
Linear magnification,
m=
v
u
=
− 10
− 30
=
1
3
m=vu=-10-30=13
.
The positive sign of m shows that the image is virtual and erect, and its size is
(1/3)
(1/3)
of the size of the object
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