The focal length of a concave mirror is f & distance of object to principle focus is p then the ratio of image to size of object is
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Given that,
Focal length of concave mirror=-f
Now,
-1/f=1/v+1/u
According to question,
Object distance,u=-(f+p)
So,
-1/f=1/v +[-1/(f+p)]
or v=-f(f+p) /p
Now,the ratio of the size of the image to the size of the object is given by
I/O=v/u
=f(f+p) /p(f+p)
=f/p
Focal length of concave mirror=-f
Now,
-1/f=1/v+1/u
According to question,
Object distance,u=-(f+p)
So,
-1/f=1/v +[-1/(f+p)]
or v=-f(f+p) /p
Now,the ratio of the size of the image to the size of the object is given by
I/O=v/u
=f(f+p) /p(f+p)
=f/p
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The distance between the pole P of the concave mirror and the focus F is the focal length of the concave mirror. Thus, the focal length of a concave mirror can be estimated by obtaining a 'Real image' of a distant object at its focus, as shown in the figure.
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