What is the nature of the lens and the position of the object if the image formed is of the same size as that of the object?
convex lens, at 2F1
From the ray diagram,
When the object is kept at '2F1' (i.e., u = 2f), image formed will be real and inverted.
Object distance (u) = - 2f
Image distance (v) = 2f
Linear magnification (m) = Height of imageHeight of object=vu
⇒HiHo=−2f2f=−1
⇒Hi=−Ho
Hence, height of the object is equal to the height of the image.