A particle of specific charge π C/kg, is projected with a speed u from origin along positive direction of x-axis. There exists a magnetic field B→=1(−k^)Tesla in the region. Choose the correct option(s).

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Time after which it touches the x-axis for the first time is 4 sec.

Deviation suffered by the particle after 1/2 sec is π/4 radians.

Deviation suffered by the particle after 1/3 sec is π/3 radians.

Velocity of the particle after 1/6 sec of projection is 3u2i^+u2j^

answer is C.

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Detailed Solution

T=2πmBq=2sec2sec→2π After 1/2sec→π/2 deviation After 1/3sec→π/3 deviation After 1/6sec→π/6 deviation ⇒v→=ucos⁡π6i^+usin⁡π6j^=32ui^+u2j^

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