Question
Question: A concave mirror produces a real image of half the size of an object placed at 60 cm in front of it....
A concave mirror produces a real image of half the size of an object placed at 60 cm in front of it. Where should the object be placed to obtain a virtual image of double the size of the object in front of the mirror.
Explanation
Solution
We know that concave mirrors produce real images for the object distance greater than the focal length of the concave mirror. We are given that an object placed in front of the mirror at a distance of 60 cm forms a real image with half its size.
We know the magnification of a concave mirror can be given as the ratio of the image distance to the object distance. It is given as –
m=−uv
We are given the magnification as half and the object distance as 60 cm from the center of the mirror.
i.e.,