CBSE Class 10 Science 2023 Outside Delhi Set 2

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Question : 4 of 12
 
Marks: +1, -0
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 =602=−30
(-ve is taken because the focus of the mirror is behind the pole.)
Magnification, m=−vu
Putting the value of magnification in the above formula we get,
−vu=2
v=−2u
v is image distance, u is object distance and f is focal length.
Since,
1u+1v=1f
Putting the values
1u+1−2u=1−30
12u=1−30
u=−302cm
u=−15cm
Hence, the object distance is −15cm.
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