The charge on the particle must be 2.68 x 10^5 C.
Electric force and Force of gravity
The given mass of the particle, m = 1.45 g = 0.00145 kg
Acceleration due to gravity = 9.8m/s²
Electric field strength, E = 530 N/C
The electric force on the particle is therefore given by;
F = qE, where,
q =charge,
F= force = mg
E is the electric field
For a particle to be stationary this force must be equal to force due to gravity, that is mg force
Hence, qE = mg
q = mg/E.
q = (0.00145 ×9.8)/530
The charge on the particle is, therefore; 2.68 x 10^5 C.
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