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.
![](https://s3-us-west-2.amazonaws.com/infinitestudent-images/ckeditor_assets/pictures/549593/original__266077.png)
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)