Bottom of a cylindrical container is made of a thin equiconvex lens having bottom side silvered as shown in the figure. The container is completely filled by water. Consider an object in water at a point on the vertical axis of the lens at a height h=4m from the bottom. when we from top in water two images of the point O coicides with each other. (given mu_("lens")=1.5,mu_("water")=(4)/(3)) The radius of curvature (in m) of the lens is.

Bottom of a cylindrical container is made of a thin equiconvex lens

1.	Bottom of a cylindrical container is made of a thin equiconvex lens having bottom side silvered as shown in the figure. The container is completely filled by water. Consider an object in water at a point on the vertical axis of the lens at a height h=4m from the bottom. when we from top in water two images of the point O coicides with each other. (given mu_("lens")=1.5,mu_("water")=(4)/(3)) The radius of curvature (in m) of the lens is.
Answer» Solution :Focal length of the silvered lends `=-(4)/(2)=-2M` `(f_(l))omega4(f_(l))a=4R` `-(1)/(F)=(2)/((f_(l))Omega)-(1)/(f_(m))` `(2)/(4R)-(!)/(-(R)/(2))=(5)/(2R)` `IMPLIESR=-(5F)/(2)=5m`

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