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

Engineering

Physics

Curved Surface Refraction

Plane Surface Refraction

Plane Mirror New

Question

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

A

2μ₂ > μ₁+μ₃

B

2μ₂>μ₁–μ₃

C

2μ₂ < μ₁+μ₃

D

2μ₂>2μ₁–μ₃

LiveFree JEE Main Previous Year Online Papers Live Free JEE Advance Previous Year Online Papers

JEE Advance

College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

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

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

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

For diverging nature v < 0

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

2μ₂ < μ₁ + μ₃