Why a charge particle moves horizontally without deflection near the earths surface..?

For a charged particle to pass through with no deflection,the net force acting on it must be zero.Thus magnetic and electric forces must be equal and opposite in direction so, v = E/B particle passes without deflection.
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Aarti Gupta
askiitians Faculty

what is the direction of earths electric field near the earths surface..?

The electric field is a measure of the force that is exerted per coulomb of charge and its measure is defined as kq/r2 where k is the electrostatic constant constant,q is the amount of charge,and r is the distance between charges.The presence of an electric field is identified using a test charge.It is observed that earth's atmosphere has an electric field that is directed radially inward.The magnitude of the electric field at the Earth's surface are found to be in the range of 66N/C to 150N/C.The intensity of electric field varies at different altitudes above sea level.Its intensity decreases as we move farther away from the earth's surface.