the distance of object from mirror decreases from 10 cm to 8 cm the distance between the object and image decreases by
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Class 12
>>Physics
>>Ray Optics and Optical Instruments
>>Combination of Lenses
>>An object is placed in from of a convex
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An object is placed in from of a convex mirror at a distance of 50 cm. A plane mirror is introduced covering the lower half of the convex mirror. If the distance between the object and the plane mirror is 30 cm, it is found that there is no gap between the images formed by the two mirrors. The radius of the convex mirror is
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Correct option is B)
According to the question it is given that, the object distance is u=−50
Also, a plane mirror forms an image at the same distance as the object.
Hence, image distance for the plane mirror is 30
As the images by the plane and the convex mirror are formed at the same position, thus we get the image distance for convex mirror as 30−20=10
Thus, using the mirror formula,
R
2
=
10
1
−
50
1
Thus, R=25cm