:A 2 cm high object is placed at a distance of 32 cm from a concave mirror.the image is real inverted and 3 cm in size. Find focal length of the mirror and position of the image.
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Explanation:
Image is inverted so magnification must be negative.
m=
objectheight
imageheight
=
2
−3
=−1.5
Also object distance is u=−32cm
We know m=−
u
v
−1.5=−
−32
v
Position of object from lens is v=−48cm
We know
f
1
=
v
1
+
u
1
f
1
=
−48
1
+
−32
1
f=−19.2cm
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