Answer to Question #190484 in Optics for heyyo

Question

Locate the image formed by refraction in the situation shown in figure. The point C is the centre of curvature.

Answer 1

Given,

$\mu_1=1\\\mu_2=1.5\\R=20\ cm(\text{Radius of curvature})\\u=-25\ cm$

So, Using Formula :

$\Rightarrow \dfrac{\mu_2}{v}-\dfrac{\mu_1}{u}=\dfrac{\mu_2-\mu_1}{R}\\\ \\\Rightarrow \dfrac{1.5}{v}=\dfrac{0.5}{20}-\dfrac{1}{25}$

$\Rightarrow \dfrac{1.5}{v}=\dfrac{-3}{200}\\\Rightarrow v=-200\times0.5=-100\ cm$

Answer:

So, the image is 100cm from (P) and on the surface on the side of S.