A particle having a mass of 10^-2 kg carries a charge of 5 × 10^-8 C. The particle is given an initial horizontal velocity of 10^5 ms^-1 in the…

A particle having a mass of $\displaystyle 10^{-2} \mathrm{~kg}$ carries a charge of $\displaystyle 5 \times 10^{-8} \mathrm{C}$. The particle is given an initial horizontal velocity of $\displaystyle 10^5 \mathrm{~ms}^{-1}$ in the presence of electric field $\displaystyle \vec{E}$ and magnetic field $\displaystyle \vec{B}$. To keep the particle moving in a horizontal direction, it is necessary that

$\displaystyle \vec{B}$ should be perpendicular to the direction of velocity and $\displaystyle \vec{E}$ should be along the direction of velocity

Both $\displaystyle \vec{B}$ and $\displaystyle \vec{E}$ should be along the direction of velocity

Both $\displaystyle \vec{B}$ and $\displaystyle \vec{E}$ are mutually perpendicular and perpendicular to the direction of velocity

$\displaystyle \vec{B}$ should be along the direction of velocity and $\displaystyle \vec{E}$ should be perpendicular to the direction of velocity

Which one of the following pairs of statements is possible?