A spherical mirror is to be used to form animage, three times as tall as anobjec

Question

   A spherical mirror is to be used to form animage, three times as tall as anobject, on a screen positioned 4.0 mfrom the mirror. (a) Describe the type of mirror required.
The mirror is a ---Mirror Type---convexconcave mirror and it has a focal length of 2m.
(b) Where should the mirror be positioned relative to theobject?
The object should be 3 m 4---Position---behind the mirror.in front of the mirror. (a) Describe the type of mirror required.
The mirror is a ---Mirror Type---convexconcave mirror and it has a focal length of 2m.
(b) Where should the mirror be positioned relative to theobject?
The object should be 3 m 4---Position---behind the mirror.in front of the mirror.

Explanation / Answer

Magnification m = 3

i.e., magnification m >1 .So, the mirror is concave.

Distance of the image v = 4 m

We know m = v / u

From this u= v /m = v / 3

From the equation ( 1/ u ) + ( 1/ v )= ( 1/ f)

                             (1/ (v/3) ) + ( 1/ v) = ( 1/ f)

                             (3/ v) + ( 1/ v) = ( 1/ f)

                              4 / v = 1/ f

                              4 /4 = 1/ f

From this focal length f = 1 m

Object distance u = v / 3

                             = 4/ 3= 1.333 m

The object is infront of the mirror

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