1.5 cm height object is placed 20 cm from a concave mirror whose radius of curveture 30 cm. determine the position of image and size of image
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An object of size 3 cm is placed at 30 cm in front of a concave mirror of radius of curvature 40 cm. Find the distance and size of image from the mirror and describe the nature of the image
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ANSWER
Given,
Radius of curvature, R=40cm
Object distance, u=30cm
Object height, h
o
=3cm
The focal length of the mirror=f=−
2
R
=−20cm
From mirror equation,
v
1
+
u
1
=
f
1
⟹
v
1
+
−30
1
=
−20
1
⟹v=−60cm
The magnification, M=
u
−v
=−
−30
−60
=−2
Hence the image is inverted, enlarged, real and its size is 2×3cm=6cm
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