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Two convex lenses of focal lengths \(f_1\) and \(f_2\) are separated by a distance \(d\). The…

For two thin lenses separated by a distance \(d\), the combined focal length \(F\) is given by \(\frac1F=\frac1{f_1}+\frac1{f_2}-\frac{d}{f_1f_2}\). The combination behaves…

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Two convex lenses of focal lengths f1f_1 and f2f_2 are separated by a distance dd. The combination will work as a glass slab if :

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Correct answer C

For two thin lenses separated by a distance dd, the combined focal length FF is given by 1F=1f1+1f2−df1f2\frac1F=\frac1{f_1}+\frac1{f_2}-\frac{d}{f_1f_2}. The combination behaves like a glass slab, with zero power so that parallel light stays parallel, when 1F=0\frac1F=0, which happens when d=f1+f2d=f_1+f_2. This is the afocal arrangement of an astronomical telescope; any other separation leaves the system with some converging or diverging power.

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