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Choose the Correct Answer from Given Options a Biconvex Lens of Focal Length F is Cut into Two Identical Plano-convex Lenses. the Focal Length of Each Part Will Be - Physics

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MCQ

Choose the correct answer from given options
A biconvex lens of focal length f is cut into two identical plano-convex lenses. The focal length of each part will be

Options

  • f

  • f/2

  • 2f

  • 4f

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Solution

Let the focal of the equiconvex lens be f and that of the plano-convex lens be f'.
Let the radius of curvature for the equiconvex lens be R.
Applying Lens maker's formula 

`1/f = (mu - 1)(1/R + 1/R) = (2(mu - 1))/R`

For the plano-convex lens, the focal length can be calculated as:

`1/f' = (mu - 1)(1/R) = (mu - 1)/R`

Thus, f' = 2f
Thus, the focal length of the plano-convex lens is twice that of the equiconvex lens.

Hence, the correct answer is option 2f.

Concept: Lenses
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