6. A 10 cm high object is placed 30 cm from a 15 cm focal length convex lens. Determine the image distance, the magnification of the image, the image height and the nature of the image.
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Explanation:
ANSWER
Given that,
Focal length f=30cm
Image distance =v
Object distance =u
By using lens formula
f
1
=
v
1
+
u
1
We are given that,
h
i
=
4
h
0
h
0
h
i
=
4
1
Where,
h
i
= Image height
h
0
= Object height
Now, as
We get
h
0
h
i
=
u
−v
4
1
=
u
−v
u=−4v
v=
4
−u
Now, using equation formula
30
1
=
u
−4
+
u
1
30
1
=
u
−3
u=−90cm
Hence, The object is in front of mirror at a distance 90 cm
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