A particle of mass $m$ and charge $q$ is thrown from origin at $t = 0$ with velocity $2\hat{i}$ + $3\hat{j}$ + $4\hat{k}$ units in a region with uniform magnetic field $\vec B$ = $2\hat{i}$ units. After time $t =\frac{{\pi m}}{{qB}}$ , an electric field is switched on such that particle moves on a straight line with constant speed. $\vec E$ may be
A particle of mass $m$ and charge $q$ is thrown from origin at $t = 0$ with velocity $2\hat{i}$ + $3\hat{j}$ + $4\hat{k}$ units in a region with uniform magnetic field $\vec B$ = $2\hat{i}$ units. After time $t =\frac{{\pi m}}{{qB}}$ , an electric field is switched on such that particle moves on a straight line with constant speed. $\vec E$ may be
- A
$5\hat k - \,10\hat j \ units$
- B
$-6\hat k - \,9\hat j \ units$
- C
$-6\hat k + \,8\hat j \ units$
- D
$6\hat k + \,8\hat j \ units$
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