An object 3 cm high is placed at a distance of 15 cm in front of a concave lens of focal
length 20 cm. Find the height and position of the Image as well as the Magnification.
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Answer:
u=−12cm
f=+8cm
ho=+3cm
Using mirror formula,
v
1
+
u
1
=
f
1
v
1
+
−30
1
=
8
1
v
1
−
30
1
=
8
1
v
1
=
8
1
+
30
1
v
1
=
60
3+2
v
1
=
60
5
=
12
1
v=+12cm
Therefore, the image will be formed at a distance of 12cm behind the mirror.
m=
um
−v
=
−30m
−12
=+0.4
m=
h
o
h
i
0.4=
h
o
h
i
0.4=
1
h
i
h
i
=+0.4cm
Therefore, the image formed is diminished in size
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