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 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 specific charge alpha is projected from origin with velocity v=v_0hati-v_0hatk in a uniform magnetic field B=-B_0hatk . Find time dependence of velocity and position of the particle.

A particle of specific charge alpha is projected from origin with velocity v=v_0hati-v_0hatk in a uniform magnetic field B=-B_0hatk . Find time dependence of velocity and position of the particle.

A proton is fired from origin with velocity vecv=v_0hatj+v_0hatk in a uniform magnetic field vecB=B_0hatj .

A charged particle moves in a uniform magnetic field B=(2hati-3hatj) T

A charged particle moves in a uniform magnetic field B=(2hati-3hatj) T

A particle having charge 'q' and mass 'm' is projected with velocity (4hati-6hatj+3hatk) m//sec from the origin in a region occupied by electric field 'E' and magnetic field 'B' such that vecB=B_(0)hati and vecE=E_(0)hatj (take (qE_(0))/m=2 ). Find the time (in sec) when the magnitude of velocity of the charge particle becomes 5sqrt(5) m//sec . (neglect the gravity)

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: