A screen is placedD cm from an object. The image of the object on the screen is formed by a convex lens at two different locations separated byd cm. Derive the formula for the focal length of the lens.
pranav narayan , 14 Years ago
Grade
1 Answers
Ramesh V
Last Activity: 14 Years ago
Distance between object and image, = D cm
Distance through which lens is displaced, = d cm
Now, D = u + v ; d = u - v
or D = u + v ; d = v - u
where u = object distance and v= image distance
1/f = 1/u + 1/v
as (v+u)2 = (v-u)2 +4vu i.e., D2 -d2 = 4vu
f = vu/(v + u)
focla length =(D2 - d2)/4D
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regards
Ramesh
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