Optics 2 Question 20

20. A slab of material of refractive index 2 shown in figure has a curved surface APB of radius of curvature 10cm and a plane surface CD. On the left of APB is air and on the right of CD is water with refractive indices as given in the figure. An object O is placed at a distance of 15cm from the pole P as shown. The distance of the final image of O from P, as viewed from the left is ……

(1991,2M)

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Answer:

Correct Answer: 20. 30cm to the right of P. Image will be virtual

Solution:

  1. Rays starting from O will suffer single refraction from spherical surface APB. Therefore, applying

μ2vμ1u=μ2μ1R1.0v2.015=1.02.0101v=11017.5v=30cm

 or 

Therefore, image of O will be formed at 30cm to the right of P. Note that image will be virtual. There will be no effect of CED.



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