Two concave refracting surfaces of equal radii of curvature and refractive index 1.5 face each other in air as shown in figure. A point object O is placed midway, between P and B . The separation between the images of O , formed by each refracting surface is :

Step-by-step solution

For B aligned & ₂ ~V - ₁ u = ₂- ₁ R & 1.5 ~V + 1 R 2 = 0.5 - R & 1.5 ~V =- 1 2 R - 2 R & 1.5 ~V = -5 2 R V_B=-0.6 R aligned For A aligned & 1.5 V + 2 3 R = 0.5 -R & 1.5 V =- 1 2 R - 2 3 R & 1.5 V =- 7 6 R & V_A=- 9 7 R aligned Distance between images =2 R - (0.6 R + 9 7 R )=0.114 R