Lorentz Force on Moving Charge

Rarely Tested
$$ \vec{F} = q (\vec{v} \times \vec{B}) $$
Force on charge $$q$$ moving with velocity $$\vec{v}$$ in magnetic field $$\vec{B}$$. Perpendicular to both $$\vec{v}$$ and $$\vec{B}$$.
Question 1

In a vacuum chamber, a particle of charge $$1\,\mu\mathrm{C}$$ and mass $$1\,\mathrm{mg}$$ is projected with a velocity $$(\hat{i}+2\hat{j})\,\mathrm{ms^{-1}}$$ from the $$XZ$$ plane at time $$t=0$$ in an electric field of $$1\hat{i}\,\mathrm{Vm^{-1}}$$. At $$t=0.2\,\mathrm{s}$$, the electric field is switched off and a magnetic field of $$6\hat{j}\,\mathrm{T}$$ is switched on. The acceleration due to gravity is $$-10\hat{j}\,\mathrm{ms^{-2}}$$. Correct option(s) is/are:

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