Question

In front of a concave mirror, an object is placed at a distance d1 from the focus and the real image is formed at a diatance d2 from the focus.then the focal length of the mirror is

Answer 1

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Answer 2

Explanation:

If you place an object at a distance of d1 from the focus and the real image is formed at a distance d2 from the focus, then the length of the mirror is:

Object distance, u=-(x1 +f)

Image distance, v= -(x2 +f)

Focal length,F=-f

Using mirror formula,

1/v + 1/u=1/F

-1/(x2 +f) - 1/ (x1 +f)=-1/f

On solving, we get

f=√x1x2 A real image is formed when the rays of light meet at a point after reflection or refraction and hence the length of the mirror can be calculated accordingly.