1.

The figure shows an equi-convex lens. What should be the condition of the refractive indices so that the lens becomes diverging? A. `2mu_(3)gtmu_(1)-mu_(2)`B. `2mu_(2)ltmu_(1)+mu_(3)`C. `2mu_(2)gt2mu_(1)_mu_(3)`D. None of the above

Answer» Correct Answer - B
(b) We have, `mu_(2)/v_(1)-mu_(1)/oo=(mu_(2)-mu_(1))/R`
and `mu_(3)/f-mu_(2)/v_(1)=(mu_(3)-mu_(2))/(-R)`
From Eqs. (i) and (ii) we get
`mu_(3)/f=(mu_(2)-mu_(1)-mu_(3)+mu_(2))/R=(2mu_(2)-(mu_(1)+mu_(3)))/R`
Lens will become diverging, if f is negative
i.e., `2mu_(2)lt(mu_(1)+mu_(3))`


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