An object is placed 30cm in front of an unknown concave mirror and produces an inverted image that is the same size as the object.
Answer the following questions about this optical system.
(a) Derive a general expression for the separation d between an object and its image when a concave mirror produces an inverted image that is the same size as the object. Express d in terms of the object distance so only.
(b) Use your result from part (a) to calculate the numerical value of the separation when so=30cm.
(c) Determine the focal length f of the mirror.
(d) The object is then moved to 25cm from the mirror. Calculate the new image distance and magnification, and state whether the image is real or virtual.