an object of hieght 10 cm is placed at centre of curvature of a concave mirror then find the magnification produced by the mirror.
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Answer:
Object distance u=−36 cm
Focal length of concave mirror f=−12 cm
Using mirror formula :
v
1
+
u
1
=
f
1
Or
v
1
+
−36
1
=
−12
1
⟹ v=−18 cm,
Since image position is negative, i.e. image is on the same side of object, which is real space, therefore the image is real.
Step2: Finding Height using Magnification
Magnification
h
o
h
i
=
u
−v
Or
10
h
i
=
−12
−(−18)
⟹ h
i
=−15 cm
Negative height implies that the image is inverted.
Hence, a real and inverted image of height 15 cm is formed at a distance of 18 cm in front of the mirror.
Explanation:
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