A particle of specific charge \( \alpha \) is projected from origin at \( t=0 \) with a veloci...
0A particle of specific charge \( \alpha \) is projected from origin at \( t=0 \) with a velocity \( \vec{v}=v_{0}(\hat{i}+\hat{k}) \) in a magnetic field \( \vec{B}=-B_{0} \hat{k} \). Then: (Mass of particle \( =1 \) unit)
(1) At \( t=\frac{\pi}{4 \alpha B_{0}} \), speed of the particle is \( v_{0} \)
(2) At \( t=\frac{\pi}{\alpha B_{0}} \), velocity of the particle is \( -v_{0}(\hat{i}-\hat{k}) \)
(3) At \( t=\frac{2 \pi}{\alpha B_{0}} \), distance travelled by the particle is less than \( \frac{2 \sqrt{2} \pi v_{0}}{\alpha B_{0}} \)
(4) At \( t=\frac{2 \pi}{\alpha B_{0}} \), magnitude of displacement of the particle is more than \( \frac{2 v_{0}}{\alpha B_{0}} \)
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