A particle of mass M and positive charge Q, moving with a constant velocity u → 1 = 4 i ^ ms - 1 , enters a region of uniform static magnetic field normal to the x-y plane. The region of the magnetic field extends from x = 0 to x = L for all values of y. After passing through this region, the particle emerges on the other side after 10 milliseconds with a velocity u → 2 = 2 3 i ^ + j ^ ms - 1 . The correc

Step-by-step solution

the angular displacement θ , θ = ω t → 1 ω   =   angular velocity, t   =   time taken by the the particle emerges on the other side t   =   10   ms   =   10 × 10 - 3   S angular velocity of particle in a magnetic field ω , ω   =   q B m → 2 q   =   charge, B   =   magnetic field, m   =   mass of the particle. substitute equation 2 in equation 1 θ = qB m t Angle between veloci