Fig. 54
50 Aptitude Test Problems in Physics
layer of water completely covering the ball
is poured above the mercury?
1.109. A piece of ice floats in a vessel with
water above which a layer of a lighter oil
is poured.
How will the level of the interface change
after the whole of ice melts? What will be
the change in the total level of liquid in the
vessel?
1.110. A homogeneous aluminium ball of
radius r = 0.5 cm is suspended on a weight-
less thread from an end of a homogeneous
rod of mass M = 4.4 g. The rod is placed
on the edge of a tumbler with water so that
half of the ball is submerged in water when
the system is in equilibrium (Fig. 54). The
densities pal and pw of aluminium and water
are 2.7 X 10^3 kg/m^3 and 1 X 10^3 kg/m^3
respectively.
Determine the ratio y/x of the parts of
the rod to the brim, neglecting the sur-
face tension on the boundaries between the
ball and water.
1.111. To what division will mercury fill
the tube of a freely falling barometer of