Optics 3 Question 39
39. A plano-convex lens has a thickness of . When placed on a horizontal table, with the curved surface in contact with it, the apparent depth of the bottom most point of the lens is found to be . If the lens is inverted such that the plane face is in contact with the table, the apparent depth of the centre of the plane face is found to be . Find the focal length of the lens. Assume thickness to be negligible while finding its focal length.
(1984, 6M)
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Answer:
Correct Answer: 39.
Solution:
- Refer figure (a)
(a)
(b)
In this case refraction of the rays starting from
Refer figure (b) In this case refraction takes place from a spherical surface. Hence, applying
Now, to find the focal length we will use the lens Maker’s formula