Magnetic field due to currentHard

Question

A charge particle of charge q, mass m is moving with initial velocity ′v′ as shown in figure in a uniform magnetic field - B. Select the correct alternative / alternatives-
                       

Options

A.Velocity of particle when it comes out from magnetic field is = v cos30o î - v sin 30o ĵ
B.Time for which the particle was in magnetic field is
C.Distance traveled in magnetic field is
D.The particle will never come out of magnetic field

Solution

t =
Distance traveled
= PQ =
Velocity of exit = v0(cos 60î + sin 60ĵ)

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