Consider three converging lenses L1- L2 and L3 having identical geometrical construction- The index of refraction of L1 and L2 are - 1 and - 2 respectively- The upper half of the lens L3 has a refractive index - 1 and the lower half has - 2 figure 18-Q3- A point object O is imaged at O1 by the lens L1 and at O2 by the lens L2 placed in same position- If L3 is placed at the same place-a there will be an image at O1b there will be an image at O2-c the only image will form somewhere between O1 and O2d the only image will form away from O2- Figure

(a) there will be an image at O1 (b) there will be an image at O2 nbsp; The lens L1 nbsp;converges the light at point O1 and lens L2 converges the light a ...

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Linear Magnification

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Question

Consider three converging lenses L₁, L₂ and L₃ having identical geometrical construction. The index of refraction of L₁ and L₂ are $μ_{1} and μ_{2}$ respectively. The upper half of the lens L₃ has a refractive index $μ_{1}$ and the lower half has $μ_{2}$ (figure 18-Q3). A point object O is imaged at O₁ by the lens L₁ and at O₂ by the lens L₂ placed in same position. If L₃ is placed at the same place,
(a) there will be an image at O₁
(b) there will be an image at O₂.
(c) the only image will form somewhere between O₁ and O₂
(d) the only image will form away from O₂.
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Solution

(a) there will be an image at O₁
(b) there will be an image at O₂

The lens L₁ converges the light at point O₁ and lens L₂ converges the light at O₂. As the upper half of lens L₃ has a refractive index equal to that of L₁, it will converge the light at O₁ and thus the image will be formed at O₁. Also, the lower half of lens L₃ has a refractive index equal to that of lens L₂, it will converge the light at O₂ and thus the image will be formed at O₂.

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