CBSE Class 10 Science 2023 Outside Delhi Set 2

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Question : 4
Total: 12
To obtain a magnification of +2 with a concave mirror of radius of curvature 60cm the object distance must be
Solution:  
Given: The magnification +2.0 of a concave mirror of radius of curvature 60.0 cm.
Focal length =
60
2
=30

(-ve is taken because the focus of the mirror is behind the pole.)
Magnification, m=
v
u

Putting the value of magnification in the above formula we get,
v
u
=2

v=2u
v is image distance, u is object distance and f is focal length.
Since,
1
u
+
1
v
=
1
f

Putting the values
1
u
+
1
2u
=
1
30

1
2u
=
1
30

u=
30
2
cm

u=15cm
Hence, the object distance is 15cm.
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