Question

A spherical mirror produces an image of magnification -1 on a screen placed at a distance of 50 cm from the mirror.
(a) Write the type of mirror.
(b) Find the distance of the image from the object.
(c) What is the focal length of the mirror ?
(d) Draw the ray diagram to show the image formation in this case.

Answer 1

(a) As magnification is in negative the image will be down the principle axis compared to the object and will form in Concave Mirror.

(b) The distance of image from the object is zero, real and inverted image of the same size is formed at the same place where object is placed.

(c) Spherical mirror has a radius of curvature R and a focal length i.e

$F=\frac{R}{2}$

$F=\frac{50}{2}$

$F=25cm$

(d) Figure attached shows the image formation by concave mirror for the given case.