Calculate the distance of an object of height h from a concave mirror of radius of curvature 20 cm

(a) Calculate the distance of an object of height h from a concave mirror of radius of curvature 20 cm, so as to obtain a real image of magnification 2. Find the location of image also.
(b) Using mirror formula, explain why does a convex mirror always produce a virtual image.

(b)From mirror formula, the distance of the object measured from pole of mirror is negative and focal length of the mirror is positive. Therefore, the value of v will be positive and v will be less then both u and f, irrespective of value of p. As v is positive, a virtual, erect and diminished image of the object will be formed behind the mirror