A thin biconvex lens of refractive index μ$$2$$ and radii of curvatures $$R1$$ and $$R2$$ is placed between $$2$$ medias of refractive index μ$$1$$ and μ$$3$$ as shown in figure:Column $$1Column$$ $$2(I)$$ $$R1=10$$ $$cmR2=10$$ $$cm(i)$$ μ$$1=1$$μ$$3=3/2(P)$$ μ$$2=1$$ (II) $$R1=10$$ $$cmR2=20$$ $$cm(ii)$$ μ$$1=1$$μ$$3=4/3(Q)$$ μ$$2=4/3$$ (III) $$R1=20cmR2=10cm(iii)$$ μ$$1=3/2$$μ$$3=4/3(R)$$ μ$$2=3/2$$ (IV) $$R1=10cmR2$$→∞(iv) μ$$1=4/3$$ μ$$3=4/3(S)$$ μ$$2=1712$$ Which of the following configuration will not cause any angular deviation in the light beam passing through it?

Question

A thin biconvex lens of refractive index μ$$2$$  and radii of curvatures $$R1$$  and $$R2$$  is placed between $$2$$ medias of refractive index  μ$$1$$ and  μ$$3$$ as shown in figure:Column $$1Column$$ $$2(I)$$ $$R1=10$$ $$cmR2=10$$ $$cm(i)$$ μ$$1=1$$μ$$3=3/2(P)$$ μ$$2=1$$ (II) $$R1=10$$ $$cmR2=20$$ $$cm(ii)$$ μ$$1=1$$μ$$3=4/3(Q)$$ μ$$2=4/3$$ (III) $$R1=20cmR2=10cm(iii)$$ μ$$1=3/2$$μ$$3=4/3(R)$$ μ$$2=3/2$$ (IV) $$R1=10cmR2$$→∞(iv) μ$$1=4/3$$ μ$$3=4/3(S)$$ μ$$2=1712$$  Which of the following configuration will not cause any angular deviation in the light beam passing through it?

Infinity Learn · Accepted Answer

For no deviationμ$$3v$$−μ$$1u=$$μ$$2$$−μ$$1R1+$$μ$$3$$−μ$$2R2=0No$$ angular deviation means, u→∞ and v→∞∴μ$$2$$−μ$$1R$$−μ$$3$$−μ$$2R=0$$⇒$$2$$μ$$2=$$μ$$1+$$μ$$3$$⇒μ$$2=$$μ$$1+$$μ$$32$$ For (C)  (C) μ$$2=32+432=1712$$

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