A charged particle of unit mass and unit charge moves with velocity \( \mathbf{v}=(8 \hat{\mathbf{i}}+6 \hat{\mathbf{j}}) \mathrm{m} / \mathrm{s} \) in a magnetic field of \( \mathbf{B}=2 \hat{\mathbf{k}} \) T. Choose the correct alternative(s).
(a) The path of the particle may be \( x^{2}+y^{2}-4 x-21=0 \)
(b) The path of the particle may be \( x^{2}+y^{2}=25 \)
(c) The path of the particle may be \( y^{2}+z^{2}=25 \)
\( \mathrm{P} \)
(d) The time period of the particle is approximately equal to \( 3.14 \mathrm{~s} \)
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