Magnetic field due to currentHard

Question

A particle of specific charge = π × 1010 C kg-1 is projected from the origin along the positive x - axis with a velocity of 105 ms-1 in a uniform magnetic field = - 2 × 10-3 tesla. Choose correct alternative(s

Options

A.The centre of the circle lies on the y - axis
B.The time period of revolution is 10-7 s.
C.The radius of the circular path is
D.The velocity of the particle at t = × 10-7s is 105ĵ m/s

Solution

, = 105î , = - 2 × 10-3 ⇒ Force will be in y - direction
⇒ Motion of particle will be in xy plane
Time period T = = 10-7 s
radius of path = × 10-3 m = mm
At t = s. Velocity of particle will be in +y direction.

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