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A thick plano convex lens is silvered at both surfaces. A point source of light ‘S’ is placed inside the lens at a distance of 2 cm from curved surface having radius of curvature \frac{8}{3}\; cm as shown in the figure. If the images formed due to direct reflections from the plane and curved surface coincide then the thickness of the lens is

 

Option: 1

6 \; cm


Option: 2

\frac{20}{3} \; cm


Option: 3

7 \; cm

 


Option: 4

3 \; cm


Answers (1)

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Answer (4)

For mirror \frac{1}{v}+\frac{1}{\left ( -2 \right )}=\frac{3}{-4}\Rightarrow v=-4

Hence, thickness of lens should be 3\; cm

Posted by

Ritika Kankaria

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