Magnetic field due to currentHard

Question

There exists a uniform magnetic and electric field of magnitude 1 T and 1 V/m respectively along positive y-axis. A charged particle of mass 1 kg and of charge 1 C is having velocity 1 m/s along x-axis and is at origin at t = 0. Then the co-ordinates of particle at time π seconds will be -

Options

A.(0, 1, 2)
B.(0, - π2/2, - 2)
C.(2, π2/2, 2)
D.(0, π2/2, 2)

Solution

T = = 2π ⇒ R = = 1m
At t = π; charge will complete half circle.
∴ x = 0 ; y =
z = 2R = 2m

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