How is H'= -vh/u

If h is the height of the object and h ′ is the height of the image, then the magnification m produced by a spherical mirror is given by :
m = h'/h     ........(1)
The magnification m is also related to the object distance (u) and image distance (v).  It can be expressed as:
m = -v/u      ........(2)
From eq. 1 and eq. 2, we get :
 
 h'/h  = -v/u
hence, h' = - h vu


  • -1
m=h'/h,
where h' is size of image and h is size of object.
Also, m= -v/u,
where v is image distance and u is object distance.
Thus, h'/h = -v/u
Therefore,
h'= -vh/u ( h comes to the other side of equal and becomes multiplied with )
  • 2
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