Answer :

Given


Focal length of convex lens f1 = y


Refractive index of lens μ1 = 1.5


Let focal length of liquid be f2


And refractive index of liquid be μ2.


Let the focal length of system (lens + liquid) be f = x(given)


Now equivalent focal length is given as






Let radius of curvature of lens be R.


Then for a convex lens R1 = R and R2 = -R


From lens maker formula




Substituting the value of f1 and μ1, to find R




Since liquid acts as a plane mirror, therefore, R1 = R = ycm and R2 = ∞.


Applying lens maker formula for liquid, we get






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