# Magnetism makes things Interesting - 1

A particle with mass $$m$$ and charge $$q$$ is thrown up with initial speed $$\vec{v_{0}}=(0,0,v_{0})$$ in the presence of a magnetic field $$\vec{B}=(B_{0},0,0)$$ and a gravitational field $$\vec{g}=(0,0,-g)$$. If we are known that $$v_{0}=\frac{mg}{qB_{0}}$$, the first time for which the particle gets its maximmum height can be written as $$T=\frac{a\cdot \pi \cdot v_{0}}{b\cdot g}$$ find the value of $$a+b$$

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