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.

a) The image formed is real because magnification is negative. Therefore, the type of mirror used is a concave mirror.

b) $Magnification comma space straight m equals space minus straight v over straight u space equals negative 1 therefore comma space straight u equals straight v equals negative 50 space cm$

So, distance of the image from the object = |u| +|v| =100 cm

c) Using the mirror formula, we have

$1 over straight f space equals 1 over v plus 1 over u equals fraction numerator 1 over denominator negative 50 end fraction plus fraction numerator 1 over denominator negative 50 end fraction equals negative 1 over 25$

d) The given diagram shows the image formation.

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