A Short Linear Object Of Length L lies On The Axis Of A Spherical Mirror Of Focal Length f at A Distance u from The Mirror. Its Image Has An Axial LengthL’ equal To

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Question

A short linear object of length L lies on the axis of a spherical mirror of focal length f at a distance u from the mirror. Its image has an axial lengthL’ equal to

Solution

Correct option is

 

For a spherical mirror  The value of u for the two ends of the object of length L are u1 = u – L/2 and u2 = u + L/2. Thus the axial length of the image is

                  

                         

                    

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