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Acids, Bases And Salts

Question
CBSEENSC10012774

A concave mirror produces three times enlarged image of an object placed at 10 cm infront of it. Calculate the radius of curvature of the mirror.

Solution
Given, a concave mirror. 

The image formed in front of the concave mirror is real, so magnification is negative. 

Magnification,  m = -3
Object distance, u = - 10 cm

As,  m = -vu  

we have,
                -3  = -v-10     v = -30 cm 
               
By mirror formula, 

                 1f =1u+1v       = 1-10+1-30       = -430 

                    f = -304  = - 7.5 cm 

Therefore,

Radius of curvature, R = 2f
                                  = 2 x (-7.5)
                                  = -15 cm