A particle of charge and mass m moves from the origin with magnetic fields barB = B_0hati and barE = E_0hati...

A particle of charge 'q' and mass 'm' is projected from the origin with velocity (u_0hati+v_0 hatj) in a gravity free region where uniform electric field -E_0hati and uniform magnetic field -B_0hati exist. Find the condition so that the particle would return to origin at least for once .

A particle of charge q and mass m is projected from the origin with velocity v=v_0 hati in a non uniformj magnetic fiedl B=-B_0xhatk . Here v_0 and B_0 are positive constants of proper dimensions. Find the maximum positive x coordinate of the particle during its motion.

A particle of charge q and mass m starts moving from the origin under the action of an electric field vec E = E_0 hat i and vec B = B_0 hat i with a velocity vec v = v_0 hat j . The speed of the particle will become 2v_0 after a time.

A particle of charge +q and mass m moving under the influence of a uniform electric field E hati and a magnetic field Bhatk enters in I quadrant of a coordinate system at a point (0,a) with initial velocity v hati and leaves the quadrant at a point (2a.,0) with velocity -2vhatj Find (aq) Magnitude of electric field at point (0,a) (C ) Rate of work done by both the fields at (2a,0) .

A particle of charge q and mass m starts moving from the origin under the action of an electric field vecE=E_0 hat i and vec B=B_0 hat i with velocity vec v=v_0 hat j . The speed of the particle will become 2v_0 after a time

A particle of charge +q and mass m moving under the influnce of a uniform electric field E hati and a uniform magnetic field Bhatk follows trajectory from P to Q as shown in figure. The velocities at P and Q vhati and -2vhatj respectively. Which of the following statement(s) is/are correct

A particle of charge q, mass starts moving from origin under the action of an electric field vecE=E_(0)hati and magnetic field vecB=B_(0)hatk . Its velocity at (x,0,0) is v_(0)(6hati+8hatj) . The value of is

The electric field acts positive x -axis. A charged particle of charge q and mass m is released from origin and moves with velocity vec(v)=v_(0)hatj under the action of electric field and magnetic field, vec(B)=B_(0)hati . The velocity of particle becomes 2v_(0) after time (sqrt(3)mv_(0))/(sqrt(2)qE_(0)) . find the electric field: