The focal length of a concave mirror is f and the distance of the object from the principal focus is p.Then the ratio of the size of the image to the size of the object is given by:
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focal length=f
Distance of object from lens=p=x+f
then q=?
1/f=1/p+1/q
1/f-1/p=1/q
1/f-1/x+f=1/q
x/f(x+f)=1/q
=>q=f(x+f)/x
Now MagnificatiOn i.e
Size of image/size of object=q/p
={f(x+f)/x}÷(x+f)
=f(x+f)/x(x+f)
=f/x.
Distance of object from lens=p=x+f
then q=?
1/f=1/p+1/q
1/f-1/p=1/q
1/f-1/x+f=1/q
x/f(x+f)=1/q
=>q=f(x+f)/x
Now MagnificatiOn i.e
Size of image/size of object=q/p
={f(x+f)/x}÷(x+f)
=f(x+f)/x(x+f)
=f/x.
sujeet6079:
The distance between the mirror and the object is 12 cm. This is because a plane mirror forms the image of theobject as far as from the mirror as theobject is from the mirror. I.e. distanceof the object from the mirror=distanceof the image from the mirror .
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1
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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