One end of a long iron chain of linear mass density
λ is fixed to a sphere of mass
m and specific density
13 while the other end is free. The sphere along with the chain is immersed in a deep lake. If specific density of iron is 7. If the height
h above the bed of the lake at which the sphere will float in equilibrium is
xm3λ. then the value of
x is
(Assume that the part of the chain lying on the bottom of the lake exerts negligible force on the upper part of the chain)