The diagram shows an equiconvex lens. What should be the condition on the refractive indices so that the lens become diverging?

Engineering

Physics

Lens

Question

2μ₂ > μ₁+μ₃

2μ₂>μ₁–μ₃

2μ₂ < μ₁+μ₃

2μ₂>2μ₁–μ₃

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$\frac{μ_{3}}{v} - \frac{μ_{1}}{u} = \frac{μ_{2} - μ_{1}}{R_{1}} + \frac{μ_{3} - μ_{2}}{R_{2}}$

$\frac{μ_{3}}{v} - \frac{μ_{1}}{\infty} = \frac{μ_{2} - μ_{1}}{R} + \frac{μ_{3} - μ_{2}}{(- R)}$

$\frac{μ_{3}}{v} = \frac{μ_{2} - μ_{1}}{R} - \frac{(μ_{3} - μ_{2})}{R} < 0$

For diverging nature v < 0

$\frac{μ_{2} - μ_{1}}{R} < \frac{μ_{3} - μ_{2}}{R}$

2μ₂ < μ₁ + μ₃

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