An object of size 70 mm is placed at 27 cm in front of a concave mirror of focal length
18 cm. At what distance from the mirror should a screen be placed, so that a sharp
focussed image can be obtained ? Find the size and nature of the image.
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Given:
size of object, o=+7cm
distance of object ,u=−27cm
focal length of concave mirror, f=−18cm
let us take size of image=I
so, mirror formula is
v
1
+
u
1
=
f
1
so, putting values of u and v,
v
1
=
−18
1
−
−27
1
v
1
=
−54
1
v=−54cm
so, image is formed on object side only.
magnification,
m=
u
−v
=
o
I
m=−
−27
−54
=
7
I
I=−14cm
so, image is double in size to that of object.
Nature: real, inverted and magnified image
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