Question

Select One Correct Option from the following: Two thin convex lenses of focal lengths $f_{1}$ and $f_{2}$ are separated by a horizontal distance d (where d < $f_{1}$, d < $f_{2}$) and their centres are displaced by a vertical separation $\Delta$as shown in the figure. Taking the origin of coordinates,O, at the centre of the first lens, the x and y coordinates of the focal point of this lens system, for a parallel beam of rays coming from the left, are given by
(A) $x=\frac{f_{1}f_{2} }{f_{1}+f_{2} }$, $y=\Delta$
(B) $x=\frac{f_{1}(f_{2}+d ) }{f_{1}+f_{2} -d }$, $y=\frac{\Delta^{2} }{f_{1} +f_{2} }$
(C) $x=\frac{f_{1}f_{2}+d(f_{1}-d ) }{f_{1}+f_{2}-d }$, $y=\frac{\Delta(f_{1}- d )}{f_{1}+f_{2}-d }$
(D) $x=\frac{f_{1}f_{2}+d(f_{1}-d ) }{f_{1}+f_{2}-d }$, y=0.

Answer 1

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