An equiconvex lens is cut into two halves along (i) XOX ' and (ii) YOY' as shown in the given figure. Let 
and f'' be the focal lengths of complete lens, of each half in case (i) and of each half in case (ii) respectively. Choose the correct statement from the following:
Text Solution
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Here, 
Taking 
and 
,
… (i)
When the lens is cut into two halves along XOX ', and f' is focal length of each half, then
…… . (ii)
From (i) and (ii), 
When the lens is cut into two halves along YOY' then each half behaves as a plano convex lens. If f'' is focal length of each half, then
… . (iii)
From (ii) and (iii)
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