In the diagram given below, there are three lenses formed. Considering negligible thickness of each of them as compared to $∣ R_{1} ∣$ and $∣ R_{2} ∣$ , i.e., the radii of curvature for upper and lower surfaces of the glass lens, the power of the combination is

Question

TestHub · Accepted Answer

​ ⇒ p eq ​ = p 1 ​ + p 2 ​ + p 3 ​ ⇒ p 1 ​ = ( 3 4 ​ − 1 ) ( ∞ 1 ​ − − ∣ R 1 ​ ∣ 1 ​ ) ⇒ p 1 ​ = ( 3 ∣ R 1 ​ ∣ 1 ​ ) ⇒ p 2 ​ = ( 2 1 ​ ) ( − ∣ R 1 ​ ∣ 1 ​ − − ∣ R 2 ​ ∣ 1 ​ ) ⇒ p 2 ​ = 2 1 ​ ( ∣ R 2 ​ ∣ 1 ​ − ∣ R 1 ​ ∣ 1 ​ ) ⇒ p 3 ​ = ( 3 1 ​ ) ( − ∣ R 2 ​ ∣ 1 ​ − ∞ 1 ​ ) = − 3 ∣ R 2 ​ ∣ 1 ​ ⇒ p eq ​ = 3 1 ​ ( ∣ R 1 ​ ∣ 1 ​ − ∣ R 2 ​ ∣ 1 ​ ) − 2 1 ​ ( ∣ R 1 ​ ∣ 1 ​ − ∣ R 2 ​ ∣ 1 ​ ) = − 6 1 ​ ( ∣ R 1 ​ ∣ 1 ​ − ∣ R 2 ​ ∣ 1 ​ ) ​

Physics - Geometrical Optics Question with Solution | TestHub

Options:

Doubts & Discussion