A charged particle of unit mass and unit charge moves with velocity \( \vec{v}=(8 \hat{i}+6 \hat...

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A charged particle of unit mass and unit charge moves with velocity \( \vec{v}=(8 \hat{i}+6 \hat{j}) \mathrm{m} \mathrm{s}^{-1} \) in a magnetic field of \( \vec{B}=2 \hat{k} \mathrm{~T} \). Choose the correct altenative(s).
(1) The path of the particle may be \( x^{2}+y^{2}-4 x-21=0 \)
(2) The path of the particle may be \( x^{2}+y^{2}=25 \)
(3) The path of the particle may be \( y^{2}+z^{2}=25 \)
(4) The time period of the particle will be \( 3.14 \mathrm{~s} \)
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