Under what condition a convex lens when placed in a medium behaves as an ordinary glass plate?
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A lens works by the difference in the refractive index between the material of the lens and the surrounded medium. So a lens put in a medium that has the same refractive index would not be a lens rather behave as an ordinary glass plate and would not bend light at all.
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Answer:
The Correct Answer would be when the refractive index of lens would be equal to refractive index of medium. When the refractive index of both the material of medium and lens are equal, the lens will behave as an ordinary glass plate.
Explanation:
From the lens maker's formula, we have:
1/f = (μ₂ - μ₁) / μ₁ - (eq. 1)
For the lens to start behaving like a glass plate, its focal length should be equal to infinity, that is f=∞.
Hence, 1/f = 0
Therefore, from eq. 1:
μ₂ - μ₁ = 0
This gives :
μ₂ = μ₁
Therefore, when μ₂ = μ₁, the convex lens will start to behave as an ordinary glass plate. It'll most probably disappear in the medium.
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