A dumbbell of length
L having one end of mass
M and volume
V and another end of mass
2M and volume
V is placed in water of density
ρ. It is observed that by attaching a mass
M of negligible volume at distance
d from the
2M end of the rod, the dumbbell floats with the rod horizontal on the surface of water and each sphere exactly half submerged as shown in the figure.
The value of
L expressed in terms of distance
d is
ndρV−3MρV−2M. Then n =
(Answer up to two digits after the decimal points)