Metal bar is aligned along East- West direction and it is dropped vertically down
So its velocity is along -Z direction,
Now the Earth's magnetic field is towards north so its towards +Y direction
now we have formula for force on a moving charge
[tex]F = q(v X B)[/tex]
v = - z direction
B = + y direction
now by the above formula
[tex]F = q(v(-k) X B(j))[/tex]
[tex]F = qvB (i)[/tex]
So force is towards East
so all positive charge is towards East end