6(a) Plate Y is positively charged, as weight acts in downward direction and a repulsive force of equal magnitude but opposite direction between the positively charged plate and positive particle causes the particle to be stationary.
6(b)(i) E = V/d (where E = Electric Field Strength, V = Potential Difference, d = Separation between Plates)
E = (630)/(0.75 x 10-2)
E = 8.4 x 104 NC-1 or Vm-1
6(b)(ii) F = ma (where F = Force Acting on the Particle, m = Mass of the Particle, a = Acceleration due to Gravity)
F = (9.6 x 10-15)(9.81)
F = 9.418 x 10-14 N ~ 9.42 x 10-14 N
E = F/Q (where E = Electric Field Strength, F = Force Acting on the Particle, Q = Charge on the Particle)
Q = F/E
Q = (9.418 x 10-14)/(8.4 x 104)
Q = 1.121 x 10-14 C ~ 1.12 x 10-14 C
Feel free to ask for further explanation ^_^