A particle of specific charge \( q / m=(\pi) \mathrm{C} / \mathrm{k...
A particle of specific charge \( q / m=(\pi) \mathrm{C} / \mathrm{kg} \) is projected from the origin towards positive \( x \)-axis with a velocity of \( 10 \mathrm{~m} / \mathrm{s} \) in a uniform magnetic field \( \mathbf{B}=-2 \hat{\mathbf{k}} \mathrm{T} \). The velocity \( \mathbf{v} \) of the particle after time \( t=\frac{1}{6} \mathrm{~s} \) will be
(a) \( (5 \hat{\mathbf{i}}+5 \sqrt{3} \hat{\mathbf{j}}) \mathrm{m} / \mathrm{s} \)
(b) \( 10 \hat{\mathbf{j}} \mathrm{m} / \mathrm{s} \)
(c) \( (5 \sqrt{3} \hat{\mathbf{i}}+5 \hat{\mathbf{j}}) \mathrm{m} / \mathrm{s} \)
(d) \( -10 \hat{\mathbf{j}} \mathrm{m} / \mathrm{s} \)
\( \mathrm{P} \)
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