A liquid of refractive index `1.33` is placed between two identical plano-convex lenses, with refractive index `1.50`. Two possible arrangement `P` and `Q` are shown. The system is

Options

A. divergent in `P`, convergent in `Q`
B. convergent in `P`, divergent in `Q`
C. convergent in both.
D. divergent in both.

Explanation

`(1)/(f_(1))=((1.5-1))/(R )+((4)/(3)-1)(-(1)/(R )-(1)/(R ))+((1.5-1)/(R ))=(1)/(R )-(2)/(3R)=(1)/(3R)`
`(1)/(f_(2))=((1.5-1))/(R )+((4)/(3)-1)(-(1)/(R ))+((1.5-1)/(R ))=(1)/(R )-(1)/(3R)=(2)/(3R)`
` rArr ` Convergent in both.