Optics 2 Question 27

26. A quarter cylinder of radius R and refractive index 1.5 is placed on a table. A point object P is kept at a distance of mR from it. Find the value of m for which a ray from P will emerge parallel to the table as shown in figure. (1999,5M)

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Answer:

Correct Answer: 26. 43

Solution:

  1. Applying μ2vμ1u=μ2μ1R

First on plane surface

1.5AI11mR=1.51=0AI1=(1.5mR)

(R=)

AI1=(1.5mR)

Then, on curved surface

11.5(1.5mR+R)=11.5R

[v=, because final image is at infinity]

1.5(1.5m+1)R=0.5R

3=1.5m+1

32m=2

or m=43



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