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CBSE Class 10 Answered

The length of an object kept at a distance of 25 cm from a convex lens is half of the object .Find the focal length of the mirror  
Asked by anjly2723492 | 08 Jun, 2019, 09:55: AM
answered-by-expert Expert Answer
magnification v/u = 1/2   hence v = u/2 
 
where u is object-to-lens distance and v is image-to-lens distance
 
we have lens equation, ( 1/v ) - ( 1/u ) = 1/f  .......................(1)
 
we have u = -25 cm (as per sign convention) and v = 25/2 cm
 
substituting values in eqn.(1),  ( 1/f ) = (2/25) + (1/25) = 3/25   or    focal length f = 25/3 cm = 8.33 cm
Answered by Thiyagarajan K | 08 Jun, 2019, 12:29: PM
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