A convex lens is made of three different mate | vedclass

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(B) The lens is composed of three distinct horizontal sections,each made of a different material with a different refractive index.Each section of the

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(B) The lens is composed of three distinct horizontal sections,each made of a different material with a different refractive index.Each section of the lens acts as an independent lens with its own focal length,determined by the lens maker's formula: $\frac{1}{f} = (\mu - 1) (\frac{1}{R_1} - \frac{1}{R_2})$.Since there are three different materials,there are three different refractive indices $(\mu_1, \mu_2, \mu_3)$,which result in three different focal lengths $(f_1, f_2, f_3)$.When a point object is placed on the principal axis,each section will form an image at a position determined by the lens formula: $\frac{1}{v} - \frac{1}{u} = \frac{1}{f}$.Since the object distance $u$ is the same for all three sections but the focal lengths $f$ are different,the image distances $v$ will be different for each section.Therefore,three distinct images will be formed,one by each section of the lens.

$A$ convex lens is made of three different materials as shown in the figure. How many images will be formed for a point object placed on its principal axis?

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