An image 4 times the size of an object is form when the object is kept in front of a concave mirror focal length 25cm find the two possible distance of the object from the mirror
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Answer:
It is given that,
Focal length
f=−20cm
h
i
=3h
o
The image is three times the size of the object. So there are two cases.
Case 1. For real image
m=−
u
v
=−3
v=3u
Using mirror’s formula
f
1
=
v
1
+
u
1
−20
1
=
3u
1
+
u
1
u=
3
−80
cm
Case 2. For virtual image
m=
u
−v
=+3
v=−3u
Again using mirror’s formula
−20
1
=
−3u
1
+
u
1
u=
3
−40
cm
The possible values of u are
3
−80
cmand
3
−40
cm
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