An object is placed in front of a convex lens of focal length 12cm, If the size of the image is half the size of the object , calculate the distance of the object from the lens.
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Answer:Now as we it is convex lens such that the formulae of it will be =1/v-1/u=1/f....(1)
Now it is also given that v=1/2u
Now let's take u=x such that v=1/2x
Now m=v/u
, m=1/2x/x(now x to x cancel down)
So m=1/2=v/u....(2)
Now use 2 in 1:
1/1/2x-1/x=1/12 (v=1/2x)
Then, 2/x-1/x=1/12 (now take L. C. M)
and we get, 2-1/x=1/12
, 1/x=1/12
, such that x=12cm.
Explanation:
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