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Q.

An object is Question Image away from a concave mirror and its image is Question Image from the mirror.The focal length and radius of curvature of the mirror, and the magnification of the image is:


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a

f=9.6 cm,R=-19.2 cm,m=-2/3

b

 f=8.6 cm,R=-18.2 cm,m=-2/3

c

f=12.6 cm,R=-13.2 cm,m=-2/3

d

 f=13.6 cm,R=-18.2 cm,m=-2/3 

answer is A.

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Detailed Solution

Concept- The focal length of the mirror may be calculated using the lens formula. On the same side of the lens as the item is the concave mirror's image. The mirror or lens's radius of curvature is twice that of the mirror's focal length.
Utilising the formula:
Question ImageThe focal length in this case is f, the object distance is v, and the image distance is u.
Given
Object distance, Question ImageImage distance, Question ImageFrom mirror formula
Question ImageQuestion ImageQuestion ImageQuestion ImageQuestion Image focal length
Radius of curvature Question ImageQuestion ImageQuestion Imagemagnification, Question ImageQuestion ImageQuestion ImageHence, the correct option is 1.
 
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