The diagram shows a concavo-convex lens. What is the condition on the refractive indices so that the lens is diverging?

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$2 μ_{3} > μ_{1} + μ_{2}$

$2 μ_{3} < μ_{1} + μ_{2}$

$μ_{3} > 2 (μ_{1} - μ_{2})$

None of these

answer is B.

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Detailed Solution

$\frac{1}{f} = \frac{μ_{2} - μ_{1}}{- 2 R} + \frac{μ_{3} - μ_{2}}{- R}$
For diverging $f < 0$
$\frac{μ_{2} - μ_{1}}{- 2 R} + \frac{μ_{3} - μ_{2}}{- R} < 0$
$2 μ_{3} > μ_{1} + μ_{2}$

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