Question

A thin biconvex lens of refractive index is placed on a horizontal plane mirror as shown. The space between the lens and the mirror is then filled with water of refractive index . It is found that when a point object is placed above the lens on its principal axis, the object coincides with its own images. On representing with another liquid, the object and the image again coincide at a distance from the lens. Calculate , if the refractive index of the liquid is

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Updated on : 2022-09-05
Solution
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Correct option is A)

Let be the focal length of convex lens; radius of curvature of each curved face is R.


When the space between the lens and mirror is filled by water of refractive index , then the focal length of liquid concave lens is


The combined focal length of lenses is


In the second case,
. Let




Solve any question of Ray Optics and Optical Instrument with:-
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