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Given the scenario that follows, what will be $y$-coordinate of the particle when it collides with the screen? A particle having charge $q = 1C$ and mass = $1Kg$ is released from rest at the origin. The region has Electric and Magnetic fields given by: $E = 10 \hat I N/C$ for $x \leq 1.8m$ and $B = -5 \hat k T$ for $1.8m \leq x \leq 2.4m$. A screen is placed at $x = 3.0m$ parallel to the $y-z$ plane. Gravity is to be neglected.

$\begin {array} {1 1} (a)\;\large\frac{0.6 ( \sqrt 3-1)}{\sqrt 3} & \quad (b)\;0.6 ( \sqrt 3-1) \\ (c)\;1.2 ( \sqrt 3+1) & \quad (d)\;\large\frac{1.2 ( \sqrt 3-1)}{\sqrt 3} \end {array}$

 

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