A particle `A` of mass `m` and charge `Q` moves directly towards a fixed particle `B`, which has charge `Q`. The speed of `A` is a `v` when it is far away from `B`. The minimum separtion between the particles is not proportional to

A particle of mass m and charge q enters a magnetic field B perpendicularly with a velocity v , The radius of the circular path described by it will be

A uniformly charged sphere has radius R and charge Q on it. A negatively charged particle having mass m and charge – q shoots out of the surface of the sphere with speed V. The minimum speed (V_0) for which the particle escapes the attraction of the sphere may be called as escape speed. Will the value of V_0 depend on magnitude of q? [Recall that escape speed of a body from the surface of the earth does not depend on its mass].

A particle of charges Q and mass m travels through a potential difference V from rest. The final momentum of the particle is

A particle of charges Q and mass m travels through a potential difference V from rest. The final momentum of the particle is

There is a fixed sphere of radius R having positive charge Q uniformly spread in its volume. A small particle having mass m and negative charge (– q) moves with speed V when it is far away from the sphere. The impact parameter (i.e., distance between the centre of the sphere and line of initial velocity of the particle) is b. As the particle passes by the sphere, its path gets deflected due to electrostatics interaction with the sphere. (a) Assuming that the charge on the particle does not cause any effect on distribution of charge on the sphere, calculate the minimum impact parameter b0 that allows the particle to miss the sphere. Write the value of b_(0) in term of R for the case 1/2mV^(2)=100.((kQq)/(R)) (b) Now assume that the positively charged sphere moves with speed V through a space which is filled with small particles of mass m and charge – q. The small particles are at rest and their number density is n [i.e., number of particles per unit volume of space is n]. The particles hit the sphere and stick to it. Calculate the rate at which the sphere starts losing its positive charge (dQ)/(dt). Express your answer in terms of b_(0)

A particle of charge q and mass m moves in a circular orbit of radius r with angular speed

A charged particle (q,m) is moving directly towards fixed positive charge Q . When it is at distance d from Q , it has speed v_(0) . At what distance Q will be particle come momentarily to rest ? Is the acceleration constant during motion ?

A cyclotron accelerates particles of mass m and charge q. The energy of particles emerging is proportional to

A particle of mass m and charge -q moves along a diameter of a uniformluy charged sphere of radinus R and carrying a total charge +Q . Find the frequency of S.H.M. of the particle if the amplitude does not exceed .