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For an object placed at a distance 20 cm in front of a convex lens, the image is at a distance 20 cm behind the lens. The focal length of the convex lens is:

  1. 20 cm
  2. 10 cm
  3. 15 cm
  4. 40 cm.

Refraction Lens

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Answer

10 cm

Reason —

Given, object distance = image distance.

u = 20 cm

Hence, object must be at 2f.

Therefore,

u=2fu = 2f \\[0.5em]

Substituting the value of u in the equation above, we get,

20=2ff=202f=10 cm20 = 2f \\[0.5em] \Rightarrow f = \dfrac{20}{2} \\[0.5em] \Rightarrow f = 10 \text{ cm} \\[0.5em]

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