Question
Fri November 04, 2011 By: Raghu Rao
 

A SPHERICAL MIRROR IS TO BE USED TO FORM AN IMAGE FIVE TIMES THE SIZE OF AN OBJECT ON SCREEN LOCATED 5 m FROM THE OBJECT. a)DESCRIBE THE TYPE OF MIRROR USED? b) WHERE SHOULD THE MIRROR BE POSITIONED RELATIVE TO THE OBJECT?PLEASE SOLVE THE NUMERICAL IN DETAIL

Expert Reply
Sat November 05, 2011

a)         An image formed on a screen is a real image. Thus, the mirror must be concave since, of mirrors, only concave mirrors can form real images of real objects.

            (b)   The magnified, real images formed by concave mirrors are inverted, so  and

    
M = (-q/p)= -5

Or        p=q/5 =(5.0/5)=1.0 m 


The object should be 1 m in front of the mirror.

                 The focal length of the mirror is

                   1/f=1/1+ (1/5) = (6/5)

Or   f= (5.0/6) =0.83m

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