Two thin convex lenses of focal lengths f1 and f2 are separately by a horizontal distance d (where d

Question

Two thin convex lenses of focal lengths f₁ and f₂ are separately by a horizontal distance d (where d < f₁, d < ₂) and their centers are displaced by a vertical sepration ᐃ as shown in the figure
Taking the origin of coordinates, O, at the centre of the first lense, x and y -coordinates of the focal point of this lense system, for a parallel beam of rays coming from the left, are given by

Accepted Answer

From the first lens parallel beam of light is focused at its focus i.e., at a distance f₁ from it. The image I₁ acts as virtual object for scrond lens L₂, Therefore, for L₂
u = + (f₁ - d), f = + f₂
∴

Hence,

Therefore, x-coordinates of its focal point will be
x = d + v =

Linear magnification for L₂

Therefore, second image will be formed at a distance of mᐃ or

. ᐃ below its optics axis.
Therefore, y-coordinates of the focus of the system will be

or

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