A pencil of height 3 cm is placed at 10 cm in front of a diverging mirror of focal length 15cm. Find the position, size and nature of the image of pencil.
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Answer:
Explanation:
Given: h
1
=3cm, u=−10cm, f=−20cm
We know that
v
1
+
u
1
=
f
1
⇒
v
1
=
f
1
−
u
1
=
(−20)
1
−
(−10)
1
=−
20
1
+
10
1
=
20
−1+2
=
20
1
∴v=20cm
The image is formed at a distance of 20cm behind the mirror,
And
m=−
u
v
=
h
1
h
2
⇒
(−10)
(20)
=
3
h
2
⇒h
2
=6cm
Image is 6 cm in size, virtual and erect.
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