select the correct answer.\nan object is placed so that the image formed is a real image of the same size as…

select the correct answer.\nan object is placed so that the image formed is a real image of the same size as the object. what is the position of the object?\na. at the focal point\nb. at a distance of twice the focal length\nc. greater than the focal length but less than twice the focal length\nd. at a distance less than the focal length

select the correct answer.\nan object is placed so that the image formed is a real image of the same size as the object. what is the position of the object?\na. at the focal point\nb. at a distance of twice the focal length\nc. greater than the focal length but less than twice the focal length\nd. at a distance less than the focal length

Answer

Brief Explanations:

In optics, for a spherical mirror or thin - lens, when an object is placed at a distance of twice the focal length ($u = 2f$), the image formed is real, inverted and of the same size as the object. This can be derived from the mirror formula $\frac{1}{u}+\frac{1}{v}=\frac{1}{f}$ and magnification formula $m =-\frac{v}{u}$. When $u = 2f$, substituting into the mirror formula gives $\frac{1}{2f}+\frac{1}{v}=\frac{1}{f}$, solving for $v$ we get $v = 2f$, and magnification $m=-\frac{v}{u}=- 1$ (indicating same size and inverted).

Answer:

B. at a distance of twice the focal length