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

Question

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 correct statement (s) is (are)

TestHub · Accepted Answer

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 velocity vectors is θ = π 6 Solving above we get B = 5 0 π m 3 q

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