A charged particle having charge `q` and mass `m` is projected into a region of uniform electric field of strength `vecE_(0)`, with velocity `vecV_(0)` perpendicular to `vecE_(0)`. Throughout the motion apart from electric force particle also experiences a dissipatice force of constant magnitude `qE_(0)` and directed opposite to its velocity. If `|vecV_(0)|=6m//s`, then find its speed when it has turned through an angle of `90^(@)`.

A particle of charge q and mass m is prjected in a uniform and contant magnetic field of strength B .The initial velocity vecv makes angle theta with the vecB .Find the distance travelled by the particle in time t .

A charge particle of charge q, mass m is projected with a velocity vecv=vhati in a region of space where electric field strength vecE=Ehatk and magnetic induction vecB=Bhatj are present. The acceleration of the particle is:

A charged particle of charge 2 muC and mass 10 milligram, moving with a velocity of 1000 m//s enters a uniform electric field of strength 10^(3) N//C directed perpendicular to its direction of motion. Find the velocity and displacement of the particle after 10s .

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 mass m and charge q is projected into a region having a uniform magnetic field B0. Initial velocity (v0) of the particle is perpendicular to the magnetic field. Apart from the magnetic force the particle faces a frictional force which has a magnitude of f = kv where v is instanta- neous speed and k is a positive constant. (a) Find the radius of curvature of the path of the particle after it has travelled through a distance of x_(0)=(mv_(0))/(2K). (b) Plot the variation of radius of curvature of the path of the particle with time (t).

A positive charge particle to charge q& mass m is released at origin.There are unifrom magnetic and electric field in the space given by vecE=E_(0)hatj & vecB = B_(0)hatk , where E_(0) & B_(0) are constants.Find the y coordinate of the particle at time t .

A particle having charge q moves with a velocity v through a region in which both an electric field vecE and a magnetic field B are present. The force on the particle is

A particle having charge q moves with a velocity v through a region in which both an electric field vecE and a magnetic field B are present. The force on the particle is