Fluid MechanicsHard
Question
One end of a long iron chain of linear mass density λ is fixed to a sphere of mass m and specific density 1/3 while the other end is free as shown in the figure. The sphere along with the chain is immersed in a deep lake. If specific density of iron is 7, the height h above the bed of the lake at which the sphere will float in equilibrium 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.) :
Options
A.
B.
C.
D.
Solution
Weight of sphere + chain = (m + λh)g
Buoyant force = (3m +
) g
for equilibrium, weight = Buoyant force or , m + λh = 3m +
or h = 
Buoyant force = (3m +
) g for equilibrium, weight = Buoyant force or , m + λh = 3m +
or h = Create a free account to view solution
View Solution FreeMore Fluid Mechanics Questions
A weight is suspended from a long metal wire. If the wire suddenly breaks, its temperature...When charge is given to a soap bubble, it shows :-...Water (density r) is flowing through the uniform tube of cross-sectional area A with a constant speed v as shown in the ...Which one of the following will make its way most easily through the tiny space between the fiber of the clothing -...Which law states that the magnitude of pressure within fluid is equal in all parts ?...